JP5544549B2 - Signal processing system having singularity and information storage medium - Google Patents

Description

  The signal processing system includes an original signal conversion function, and the original signal conversion function includes a signal conversion unit, a synchronization signal extraction unit, an input unit, and an output unit. It relates to the medium.

  In particular, it converts the signal having the input original signal into a signal including a singular point for each synchronization period in accordance with the synchronization signal of the original signal, and is excellent in specifying the original signal in a deteriorated environment of use conditions, noise, etc. The present invention relates to a signal processing system having a singular point having means for generating a signal suitable for reproducing an original signal that is resistant to signal degradation.

Conventionally, a technique for extracting a signal from a received wave buried in noise or unnecessary waves has been proposed. In these techniques, signals are estimated from statistical characteristics of signals and noise or unwanted waves, or a mean square error minimization criterion. These statistical detection theories are described in Non-Patent Document 1, for example.
A Wiener filter is a filter that minimizes the mean square of the difference between the restored signal and the original signal. Non-patent literature 2 describes these minimum variance estimations, for example.

  On the other hand, although an out-of-band interference wave is removed by a reception filter, techniques related to interference removal that cannot be removed by a reception filter such as echo interference have been widely studied.

J. et al. Hancock, P.M. Wintz “SIGNAL DETECTION THEORY” (McGraw-Hill New-York 1966) Katayama "New Version Applied Kalman Filter" (Asakura Shoten, January 2000) Edited by Ueno, Sunada, and Arai, “Enjoyment of Mathematics (The World of Singularity: Its Extensiveness)”, Nihon Crihonsha, November 2005

However, these statistical detections have the following problems.
In general, since an optimum value of signal reproduction can be obtained only in a statistically stable state, the signal reproduction is difficult because the statistical characteristics of the fluctuating signal and the statistical characteristics of the disturbing wave are inaccurate. In addition, when there are a plurality of disturbances such as delayed waves, interference noises, and distorted waves, the statistical detection of signals becomes complicated and remains in the range of inference and estimation.
On the other hand, in order to determine the statistical characteristics, there is a disadvantage that the statistical processing time is lengthened and the processing time is eventually delayed and the processing becomes complicated. In addition, due to the reliability of the signal reproduced in signal processing for sending digital signals, the system is robust against multiple degradation factors such as delayed waves, interference noise, and distortion waves generated due to device nonlinearity in the environment of use. Was requested.

In order to solve the above-described problems, the present invention has been made using an analytical method, and is applied to the conversion of the original signal into a signal including a singular point by signal processing and the analysis of the singular point region. The signal processing of the original signal provides a means for generating a signal that is excellent in the specification of the original signal even in a use environment deterioration environment, is strong in signal deterioration such as noise, and is suitable for signal reproduction. Provides a signal processing system including a signal conversion unit, a synchronization signal extraction unit, an input unit, and an output unit, and a specific function generation step, a singular point conversion step, a synchronization signal extraction step, and an input unit. The above-described problems are solved by providing an output unit and an information recording medium in which a program for realizing these is recorded.

  Here, the singular point has a position where the information of the original signal is minimized (including zero) on the original signal after signal processing by performing predetermined signal processing on the signal having the original signal, and the original signal For other signals, a point or state having signal information is called a singular point. (The same applies hereinafter). In mathematics, it is defined as “a place having characteristics different from the surroundings”, and is described in Non-Patent Document 3, for example.

  A signal before conversion that can be converted into a signal having a singular point by specific signal processing is called a signal including a singular point. (The same applies hereinafter). A signal including a singular point is subjected to specific signal processing and converted into a signal having a singular point, which is called specific signal processing. (The same applies hereinafter). Furthermore, a signal having a singular point is subjected to specific signal processing and returned to a signal including a singular point, which is called specific reverse signal processing. (The same applies hereinafter).

When there are a plurality of places where singularities are processed and singularities are generated in total, each singularity processed signal is called a signal including quasi-singularities. (The same applies hereinafter). However, in places where there is no need to distinguish, singular points and semi-singular points are collectively referred to as signals including singular points. (The same applies hereinafter).
In the case of a singular point orthogonal to the original signal, it is called an orthogonal singular point. (The same applies hereinafter).
Furthermore, when the original signal is encoded in a short period and converted to a short signal, the short singularity, short quasi-singularity, short orthogonal singularity and Call. (The same applies hereinafter).

A transfer function of a signal having a singularity is called a specific singularity function. (The same applies hereinafter). A signal transfer function including a singular point is called a specific singular point function. (The same applies hereinafter).
An operation for converting a singularity function to a singularity function is called a singularity operation. (The same applies hereinafter). Conversely, an operation for converting from a singularity function to a singularity function is called an inverse singularity operation. (The same applies hereinafter).
Further, signals other than the original signal such as thermal noise, interference wave, and distortion noise are called unnecessary signals. (The same applies hereinafter).

  According to the present invention, the original signal is subjected to specific signal processing, converted into a signal including a singular point, and the singular point of the original signal in the singular point region is performed, so that the original signal can be obtained even under a use environment deterioration environment The present invention provides means for generating a signal that can maintain the specification and is resistant to signal degradation such as noise and is suitable for signal reproduction.

  In order to achieve the above object, an embodiment of the present invention will be described based on the drawings in accordance with the principle of the present invention. In the drawing, elements that perform the same parts are denoted by the same reference numerals in the following drawings.

  The best mode described below is for explanation, and does not limit the scope of the present invention. Therefore, those skilled in the art can employ embodiments in which each or all of these elements are replaced with equivalent ones, and these embodiments are also included in the scope of the present invention.

Further, in the following description, in addition to using the synchronization extraction means, the synchronization signal can be supplied based on this as follows, and is included in the scope of the present invention. (Not shown in FIG. 1).
The synchronization extraction unit is replaced with a synchronization signal distribution unit when an external synchronization signal is input. When the synchronization information is not included in the input signal, the synchronization signal is generated using the internal synchronization signal.

  In the following description, the input original signal is a continuous digital signal, but other signal forms such as a discrete digital signal, a packet signal, an analog signal, a composite signal (including a synchronization signal), a sign, and the like. However, it is included in the scope of the present invention. (Not shown in FIG. 1).

  In addition to the signal processing system, the specific signal processing of the present invention, the signal including the singularity, and the information recording medium recording the program can be distributed and sold.

  FIG. 1 is a configuration diagram of an original signal conversion unit 11 of a singular point signal processing system according to a first aspect of the present invention. The original signal conversion unit includes a signal conversion unit 15, a synchronization signal extraction unit 13, and an input unit. 12 and an output unit 18.

  The synchronization signal extraction means 13 extracts the synchronization signal 16 of the original signal from the signal including the original signal that is the input 10 of the original signal conversion section. The input section 12, the signal conversion means 15, the output section 18, Connected to. On the other hand, the signal 10 is converted into an internal signal 17 at the input unit 12 with reference to the extracted synchronization signal 16 and passed to the signal conversion means 15. Further, the signal conversion unit 15 passes the internal signal 17 from the input unit 12 to the signal conversion unit based on the extracted synchronization signal 16, and the signal conversion unit performs singularity from signal processing using a specific singularity function. The signal is converted to a signal including a point and is passed to the output unit 18, and the output unit 18 outputs a signal 19 including a singular point.

FIG. 2 shows an example of a singular point function having a singular point on the time axis. Here, it is a singularity function having three singularities in the section. FIG. 3 shows a singularity function having a relationship between the singularity function and the inverse singularity calculation (here, double integration).
FIG. 4 shows a region in which an internal signal is converted into a signal including a singular point using a singular point function with reference to the synchronization signal 16 extracted from the input signal 10. Here, an ellipse within the synchronization time length indicates a region including a singular point, and indicates a region of a singular point that can be converted into a signal having a singular point by specific signal processing.

また、特定の特異点を持つ特異点関数をｇ（ｔ）と置き、この関数と逆演算Ｒ（ｇ）の関係にある被特異点関数ｓ（ｔ）は以下の式で求められる。図３は２重積分の演算処理をした場合で、数２は数３で表される。

ここで、図２で示される特異点関数ｇ（ｔ）を数４とすると、

となる。数４のｇ（ｔ）を逆演算処理すると、被特異点関数ｓ（ｔ）は数５となり、図３に示される波形を示す。

The operation until conversion to a signal including a singular point will be described using equations. Assuming that the input signal 10 including the original signal is f (t) and the impulse response of the input unit 12 is h (t), the internal signal 17 of the input unit output x (t) is expressed by Equation 1.

Further, a singularity function having a specific singularity is set as g (t), and a singularity function s (t) having a relationship of inverse function R (g) with this function is obtained by the following equation. FIG. 3 shows a case where the calculation processing of double integration is performed, and Equation 2 is expressed by Equation 3.

Here, when the singularity function g (t) shown in FIG.

It becomes. When g (t) in Equation 4 is inversely processed, the singularity function s (t) becomes Equation 5 and shows the waveform shown in FIG.

ここで、Ｔはデジタル信号のサンプル長であり、ｔ＝ｎＴ、τ＝ｍＴとし、離散時間系列で、ｕ（ｔ）−＞ｕ（ｎ）、ｘ（ｔ−τ）−＞ｘ（ｎ−ｍ）、ｓ（τ）−＞ｓ（ｍ）とすると数６は数７で表される。

図５は数７をデジタル回路で実現する構成の一例を示す。ここで、

Next, when the digital signal x (t) and the singular point function s (t) expressed by Equation 1 are subjected to the following calculation, the signal u (t) including the singular point is obtained by the following equation.

Here, T is the sample length of the digital signal, t = nT, τ = mT, and discrete time series u (t)-> u (n), x (t-τ)-> x (n- If m) and s (τ)-> s (m), Equation 6 is expressed by Equation 7.

FIG. 5 shows an example of a configuration for realizing Equation 7 with a digital circuit. here,

また、数２にある特異点関数ｇ（ｔ）、被特異点関数ｓ（ｔ）を、ｇ（ｔ）−＞Ｇ（ｓ）、ｓ（ｔ）−＞Ｓ（ｓ）で表し、逆演算をＲ（ｓ）とすると、数２は数９で表される。

ここで、Ｒ（ｓ）がｎ階の積分を表しているときには数１０で、ｎ階の微分を表しているときには数１１で各々表される。

デジタル信号Ｘ（ｓ）を、特異点を含む信号に変換する為の伝達関数をＱ（ｓ）で表すと、数１２で表される。

よって、数１３が導かれて、Ｑ（ｓ）が決まる。

Next, means for obtaining the singular point inverse function s (t) by the arithmetic processing on the frequency axis will be shown.
When the signal is Laplace transformed by the relational expression of Formula 1 and f (t)-> F (s), h (t)-> H (s), x (t)-> X (s) The signal X (s) is expressed by Equation 8.

Further, the singularity function g (t) and the singularity function s (t) in Equation 2 are expressed by g (t)-> G (s), s (t)-> S (s), and the inverse operation is performed. Is R (s), Equation 2 is expressed by Equation 9.

Here, when R (s) represents n-th order integration, it is represented by Expression 10, and when R (s) represents n-th order differentiation, it is represented by Expression 11.

When the transfer function for converting the digital signal X (s) into a signal including a singular point is expressed by Q (s), it is expressed by the following equation (12).

Therefore, Equation 13 is derived and Q (s) is determined.

  In the signal conversion means, the signal conversion means can be realized by returning the transfer function Q (s) expressed by Equation 13 to the angular frequency and configuring it with an analog filter or a digital filter.

FIG. 6 is a block diagram of the original signal conversion unit 21 of the signal processing system according to the second aspect of the present invention. The original signal conversion unit 21 includes a signal conversion unit 23, a synchronization signal extraction unit 13, an input unit 12, , And an output unit 18.
From the signal including the original signal input 10 to the original signal conversion unit, the synchronization signal of the original signal is extracted by the synchronization signal extraction unit 13, and is input to the input unit 12, the signal conversion unit 23, and the output unit 18. Connected. On the other hand, the original signal 10 is converted into an internal signal 17 by the input unit 12 with reference to the extracted synchronization signal 16 and passed to the signal conversion means 23. Further, the signal conversion means 23 uses the quasi-singularity function obtained by performing a reverse operation on the quasi-singularity function obtained by dividing the singularity function having a specific singularity with reference to the extracted synchronization signal. The internal signal 17 from the input unit 12 is converted into a signal including a quasi-singular point and passed to the output unit 18. The output unit 18 outputs a signal 25 including a quasi-singular point from the quasi-signal converting means 23.

  Since the operation until conversion to a digital signal when including a singularity is the same as that of the first aspect of the present invention, the operation is omitted. Here, a quasi-singularity function obtained by dividing a singularity function is used. The operation from the inverse operation to the conversion to a quasi-singular point signal will be described using equations.

次に、数１で示されるデジタル信号ｘ（ｔ）と特異点逆関数ｓ_１（ｔ）とは以下の演算を行うと、特異点を含む信号ｕ_１（ｔ）は以下の式で求められる。

ここで、Ｔはデジタル信号のサンプル長として、ｔ＝ｎＴ、τ＝ｍＴとし、離散時間系列で、ｕ_１（ｔ）−＞ｕ_１（ｎ）、ｘ（ｔ−τ）−＞ｘ（ｎ−ｍ）、ｓ_１（τ）−＞ｓ_１（ｍ） とすると数１５は数１６で表される。

数１６は本発明の第１の観点に係るデジタル回路（図５）で実現できる。A singularity function having a specific singularity is set as g (t), a Laplace transformed function of this function is expressed as G (s) = G ₁ (s) G ₂ (s), and a function G ₁ (s) and The functions g ₁ (t) and g ₂ (t), which are separated into functions G ₂ (s) and subjected to inverse Laplace transform, are called quasi-singularity functions. (The same applies hereinafter)
When the inverse operation R (g) is processed, the inverse quasi-singularity function s ₁ (t) is obtained by Equation 14.

Next, when the digital signal x (t) expressed by Equation ₁ and the singular point inverse function s ₁ (t) are subjected to the following calculation, the signal u ₁ (t) including the singular point is obtained by the following equation. .

Here, T is the sample length of the digital signal, t = nT, τ = mT, and discrete time series u ₁ (t)-> u ₁ (n), x (t-τ)-> x (n −m), s ₁ (τ) −> s ₁ (m), Expression 15 is expressed by Expression 16.

Equation 16 can be realized by the digital circuit (FIG. 5) according to the first aspect of the present invention.

誤差検出手段３２はこの誤差関数Ｒ（ｓ）を逆ラプラス変換して誤差信号ｒ（ｔ）を得る。この誤差信号を逆信号処理し、修正誤差信号ｒ’（ｔ）を生成して修正手段３３に出力する。 ここで、Ｔはデジタル信号のサンプル長として、ｔ＝ｎＴ とし、離散時間系列で、ｒ’（ｔ）−＞ｒ’（ｍ）とすると、修正後の信号ｕ（ｎ）は数１８で表される。

数１８は本発明の第１の観点に係るデジタル回路（図５）を用いて実現できる。
また、本発明の第３の観点に係る信号処理システムでは、特異点を含む信号を特定の信号処理をして得られた特異点を持つ信号と、特定の特異点を持つ特異点関数ｇ（ｔ）との違いから修正する誤差関数を得ていたが、特異点を含む信号ｕ‘（ｔ）と特定の特異点を有する被特異点関数ｇ’（ｔ）との違いから修正する誤差関数を得ることも可能である。
この場合には、誤差検出手段３２は、信号変換手段１５で変換された特異点を含む特異点信号ｕ（ｔ）と特定の特異点を含む被特異点関数ｇ’（ｔ）との違いを修正する誤差関数をｒ’（ｔ）とすると、ラプラス変換して、ｕ‘（ｔ）−＞Ｆ’（ｓ）、ｇ’（ｔ）−＞Ｇ’（ｓ）、ｒ’（ｔ）−＞Ｒ’（ｓ）にして、誤差関数Ｒ’（ｓ）は数１９で表される。

誤差検出手段３１はこの修正関数Ｒ’（ｓ）から、Ｒ’（ｓ）を逆ラプラス変換して修正信号ｒ’（ｔ）を得て、修正手段３２に出力する。 ここで、Ｔはデジタル信号のサンプル長として、ｔ＝ｎＴとし、離散時間系列で、ｒ‘（ｔ）−＞ｒ’（ｍ）とすると、修正後の信号ｕ‘（ｎ）は数１８で表される。FIG. 7 is a configuration diagram of the original signal conversion unit 31 of the signal processing system according to the third aspect of the present invention. The original signal conversion unit 31 includes the signal conversion unit 15, the synchronization signal extraction unit 13, and the error detection unit 32. And the correction means 33, the input unit 12, and the output unit 18.
The operation until conversion to a signal including a singular point is the same as that of the first aspect of the present invention, and is therefore omitted. Here, the operations of the error detection unit 32 and the correction unit 33 are described with reference to FIG. explain.
In the original signal conversion section 31 of the signal processing system according to the third aspect of the present invention, the error detection means 32 is a singularity obtained by performing specific signal processing on the signal including the singular point converted by the signal conversion means 15. If the error function for correcting the difference between the point signal u (t) and the singular point function g (t) having a specific singular point is r (t), Laplace transform is performed and u (t)-> U ( s), g (t)-> G (s), r (t)-> R (s), and the error function R (s) is expressed by Equation 17.

The error detection means 32 performs inverse Laplace transform on the error function R (s) to obtain an error signal r (t). This error signal is subjected to inverse signal processing to generate a corrected error signal r ′ (t) and output it to the correcting means 33. Here, T is a sample length of a digital signal, t = nT, and a discrete time sequence, where r ′ (t) −> r ′ (m), the corrected signal u (n) is expressed by Equation 18. Is done.

Equation 18 can be realized using the digital circuit (FIG. 5) according to the first aspect of the present invention.
In the signal processing system according to the third aspect of the present invention, a signal having a singular point obtained by performing specific signal processing on a signal including a singular point and a singular point function g ( The error function to be corrected is obtained from the difference from t), but the error function to be corrected from the difference between the signal u ′ (t) including a singular point and the singular point function g ′ (t) having a specific singular point. It is also possible to obtain
In this case, the error detection unit 32 determines the difference between the singular point signal u (t) including the singular point converted by the signal conversion unit 15 and the singular point function g ′ (t) including the specific singular point. Assuming that the error function to be corrected is r ′ (t), Laplace transform is performed and u ′ (t) → F ′ (s), g ′ (t) → G ′ (s), r ′ (t) −. > R ′ (s), the error function R ′ (s) is expressed by Equation 19.

The error detection means 31 obtains a correction signal r ′ (t) from this correction function R ′ (s) by inverse Laplace transform, and outputs it to the correction means 32. Here, T is the sample length of the digital signal, t = nT, a discrete time series, and r ′ (t) −> r ′ (m), the corrected signal u ′ (n) is expressed by Equation 18. expressed.

FIG. 8 shows the configuration of the orthogonal function 41 and the signal conversion means 45 of the original signal conversion unit of the signal processing system according to the fourth aspect of the present invention. The signal generating means 43 and the second synchronizing signal generating means 44 are configured.
The input of the orthogonal function 41 is the internal signal 17 from the input unit and the synchronization signal 16 extracted by the synchronization signal extraction means, and the sequence synchronization signal generation means 43 corresponds to the length of the code sequence based on the synchronization signal 16 Generated column synchronization signals. The second synchronization signal generating means 44 generates a second synchronization signal 46 that is speeded up at a predetermined rate based on the synchronization signal 16. The code string creating means 42 inserts a code that generates an orthogonal singularity for each code string on the basis of the column synchronization signal and the second synchronization signal 46. FIG. 9 shows a signal generated by the code string creating means 42 and having opposite polarities between codes. The second synchronization signal 46 is supplied to the singular point conversion means 45 that generates a signal including a singular point.

FIG. 10 shows a block diagram of the intra-code processing function 51 of the original signal converter of the signal processing system according to the fifth and sixth aspects of the present invention. The short code converter 52, the short signal converter 53, Short synchronization signal generating means 54.
The short synchronization signal generating means 54 generates a short short synchronization signal at a predetermined ratio corresponding to the intracode length based on the synchronization signal 16 input to the intracode processing function 51. The signal is supplied to the short code conversion means 52 and the short signal conversion means 53. The short code conversion means 52 generates a specific code based on the short synchronization signal, performs arithmetic processing on the input internal signal 17 to generate a short internal signal having a shorter length than the original signal, and performs signal conversion Pass to means 53. The signal conversion means 53 converts the short internal signal into a signal having a singular point based on the short synchronization signal. FIGS. 11 to 13 illustrate the above signal processing, and FIG. 12 shows the waveform of the short synchronization signal generated by the short synchronization signal generating means 54. FIG. 11 shows a short conversion code composed of a predetermined code string synchronized with a predetermined short synchronization signal. FIG. 13 shows a signal including a singular point converted by the signal converting means 53, and shows an example of a singular point region including a singular point and an orthogonal singular point region included in a short conversion code.

  FIG. 14 shows a signal processing system having an original signal conversion unit according to the eighth aspect of the present invention. A signal having a singular point output from the original signal conversion unit holds a fixed identification level 61. The code identification method and the fixed level identification method for the singularity signal including the singularity can be shared.

FIG. 15 shows a signal processing system having an original signal conversion unit 71 according to the ninth aspect of the present invention. In the output from the original signal conversion unit 71, an arithmetic function to be processed into a specific singularity function is obtained. The signal is decomposed into components, output as an encoded signal, and output together with a signal including a singular point.
In FIG. 15, a signal including a singular point and an encoded signal are output in parallel, but can be included in a signal including a singular point and transmitted.

  FIG. 16 shows a noise signal generation means for generating a noise signal newly provided in the original signal conversion section of the signal processing system according to the tenth aspect of the present invention, a synthesis section for adding noise to the output signal, The block diagram of is shown. The noise signal generating means is a means for generating a pseudo random signal by a signal processing means, a means for generating using a thermal noise source generated from a resistor, a means for storing and referring to pre-measured data, etc. realizable.

FIG. 17 is a signal processing system having an original signal conversion function according to the eleventh aspect of the present invention, and realizes program execution by the following steps.
Step 102: receiving a signal from the input unit 102
Step 2 Synchronizing signal generation step 103 for extracting a synchronizing signal from the input signal
Step 3 Generation of a singularity function that generates a specific singularity function based on the synchronization signal Step 104
Step 4: A signal conversion step 105 for converting a signal from the input unit into a signal including a specific singularity using a specific singularity function.
Step 5 Output Step 108 for Passing a Signal Containing Singularity to the Output Unit

FIG. 18 is a signal processing system having an original signal conversion function according to the twelfth aspect of the present invention, and realizes program execution by the following steps.
Step 102: receiving a signal from the input unit 102
Step 2 Synchronizing signal generation step 103 for extracting a synchronizing signal from the signal from the input unit
Step 3 Generation of a singularity function that generates a specific singularity function based on the synchronization signal Step 104
Step 4: Signal conversion step of converting the signal from the input unit into a signal including a specific singularity 105
Step 5 A signal including a singular point is subjected to specific arithmetic processing, converted into a signal having a singular point, and an error detection step 111 for detecting an error between the signal having the singular point and a function having the specific singular point.
Step 6 A correction step 112 for correcting the signal including the singular point converted in the signal conversion step with a signal obtained by inversely calculating the error signal from the error detection step.
Step 7: Passing a signal including a singular point to the output unit 108
In the signal processing system having the original signal conversion function according to the twelfth aspect of the present invention, in the case of correcting from an error signal between a signal including a singular point and a singular point function, step 5 of the above steps is performed. Step 6 implements program execution by the following steps.
Step 5: Error detection step 111 for detecting an error between a signal including a singular point and a specific singularity function including a specific singular point.
Step 6 A correction step 112 for correcting the signal including the singular point converted in the signal conversion step with the error signal from the error detection step.

FIG. 19 is a signal processing system having an original signal conversion function according to the thirteenth aspect of the present invention, and realizes program execution by the following steps.
Step 102: receiving a signal from the input unit 102
Step 2 Synchronizing signal generation step 103 for extracting a synchronizing signal from the signal from the input unit
Step 3 A second synchronization signal generation step 121 for generating a second synchronization signal based on the synchronization signal.
Step 4: A singular point function generation step 104 for generating a specific singular point function with reference to the second synchronization signal
Step 5: A sequence synchronization signal generation step 122 for generating a sequence synchronization signal synchronized with the code sequence
Step 5 Code sequence generation step 123 for generating orthogonal singularities and generating a code sequence to which a predetermined code is added
Step 6 Signal conversion step 124 for generating a signal including a specific singular point with reference to the second synchronization signal.
Step 7: Passing a signal including an singular point and having an orthogonal singular point to the output unit 125

FIG. 20 is a signal processing system having an original signal conversion function according to the fourteenth aspect of the present invention, and realizes program execution by the following steps.
Step 102: receiving a signal from the input unit 102
Step 2 Synchronizing signal generation step 103 for extracting a synchronizing signal from the signal from the input unit
Step 3 A short synchronization signal generation step 131 for generating a short synchronization signal based on the synchronization signal from the synchronization signal extraction step.
Step 4 Short code conversion step 132 for converting to a short code based on the short synchronization signal from the short synchronization signal generation step.
Step 5 Singular point function generation step 133 for generating a specific singularity function
Step 6 Using a specific singularity function, the short code signal is converted into a signal including a singularity. Signal conversion step 134
Step 135: Passing a signal including a singular point to the output unit Step 135

  In the signal processing system having the original signal conversion function according to the fifteenth aspect of the present invention, the signal having the singular point output from the original signal conversion unit function holds a normal identification level, and The program execution is realized so that both the code identification method and the fixed level identification method of the singularity signal can be shared.

FIG. 21 is a signal processing system including an original signal conversion unit according to the sixteenth aspect of the present invention, and realizes program execution by the following steps.
FIG. 21 does not show the common steps 101, 102, and 103 related to the eleventh aspect of the invention.
Step 102: receiving a signal from the input unit 102
Step 2 Synchronizing signal extraction step 103 for extracting a synchronizing signal from the signal from the input unit
Step 3 A specific singularity function generation step 104 for generating a singularity function
Step 4: Signal conversion step 105 for converting into a signal including a singular point with reference to the synchronization signal
Step 5: A singularity function encoding step 141 for encoding the singularity function.
Step 6 Synthesis step 142 of passing a signal containing a specific singularity function and a singularity to the output unit

FIG. 22 is a signal processing system having an original signal conversion function according to the seventeenth aspect of the present invention, and realizes program execution by the following steps.
Note that FIG. 22 does not show common steps 101, 102, and 103 related to the eleventh aspect of the invention.
Step 102: receiving a signal from the input unit 102
Step 2 Synchronizing signal generation step 103 for extracting a synchronizing signal from the input signal
Step 3 Singular point function generation for generating a specific singularity function with reference to the synchronization signal Step 104
Step 4: Signal conversion step of converting the signal from the input unit into a signal including a specific singularity 105
Step 5 Step 151 for generating a noise signal
Step 6 Synthesis step 152 adds noise to the signal output from the signal conversion step and passes the signal including the characteristic points with the added noise.

The 18th term of the present invention is a signal processing system characterized in that the signal from the original signal conversion unit processes a signal having a quasi-singularity instead of a singularity, and the description thereof is omitted.
In addition to the signal processing system according to items 1 to 18 of the present invention, the execution of a program recorded on the information recording medium of the present invention is used to perform a signal processing device, a signal measuring device, and an information processing device (general purpose). A computer), a signal processing component, a signal measuring component, and an information processing component.

The signal processing system of the present invention can be realized by using a signal processing device, an information processing device, and an information storage medium, and can be applied to any original signal regardless of an electric signal, an optical signal, or an acoustic signal.
Further, the signal processing system of the present invention includes a program for realizing an original signal conversion method, a signal generated by the singular point inverse function generating means of the present invention, and a digital signal including a singular point, a compact disk, a floppy disk, a hard disk, It can be recorded on an information recording medium such as a semiconductor memory.

  It is a block diagram which shows one Example of the signal processing system of this invention.   An example of a specific singularity function is shown.   An example of a specific singularity function is shown.   An example of the singularity generation area | region of the signal containing a singularity is shown.   An example of the signal conversion means which converts into the signal containing a singular point is shown.   It is a block diagram which shows the 2nd Example of the signal processing system of this invention.   It is a block diagram which shows the 3rd Example of the signal processing system of this invention.   It is a block diagram which shows the 4th Example of the signal processing system of this invention.   An example of a signal having polarity inversion between code strings in the fourth embodiment will be shown.   It is a block diagram which shows the 5th Example of the signal processing system of this invention.   An example of a short conversion signal is shown.   An example of the sync signal of the short conversion signal   An example of the short code signal containing a singular point is shown.   It is a relationship diagram between a signal including a singular point and an identification level according to the eighth embodiment of the present invention.   It is a block diagram which shows the 9th Example of this invention.   It is a block diagram which shows the 10th Example of this invention.   It is a signal processing step which shows the 11th Example of the signal processing system of this invention.   It is a signal processing step which shows the 12th Example of the signal processing system of this invention.   It is a signal processing step which shows the 13th Example of the signal processing system of this invention.   It is a signal processing step which shows the 14th Example of the signal processing system of this invention.   It is a signal processing step which shows the 16th Example of the signal processing system of this invention.   It is a signal processing step of adding noise showing the seventeenth embodiment of the signal processing system of the present invention.

Explanation of symbols

DESCRIPTION OF SYMBOLS 10 Input of signal having original signal 11 Original signal conversion unit 12 Input unit 13 Synchronization signal extraction unit 15 Signal conversion unit 16 Synchronization signal 17 Internal signal 18 Output unit 19 Output signal 21 including singular point Original signal conversion unit 23 Signal point conversion means 31 Original signal conversion section 32 Error detection means 33 Correction means 35 Output signal 41 of signal including singular point with high accuracy 41 Orthogonal function 42 Code string creation means 43 Column synchronization signal generation means 44 Second synchronization signal generation means 45 Signal conversion means 46 Second synchronization signal 48 Signal 51 including singular points Original signal conversion section 52 Short code conversion means 53 Short signal conversion means 54 Short synchronization signal generating means 55 Signal including singular points 61 Normal discrimination level 71 Original signal conversion Unit 72 encoding means 73 encoded signal 81 output of function generation signal 91 noise generation means 92 combining means 93 combined output signal 100 signal processing -Up 101 input unit 102 input step 103 Synchronization signal generation step 104 the singularity function generation step 105 the signal conversion step 108 Output step 109 Output unit 110 signal processing step 111 the error detection step 112 correction step 120 signal processing step 121 second synchronization signal Generation step 122 Sequence synchronization signal generation step 123 Code sequence creation step 124 Signal conversion step 125 Output step 130 Signal processing step 131 Short synchronization signal generation step 132 Short code conversion step 133 Singular point function generation step 134 Signal conversion step 135 Output step 140 Signal processing step 141 Singular store function encoding step 142 Output step 150 Signal processing step 151 Noise generation step 152 Synthesis step

Claims (18)

  A signal processing system including an original signal conversion unit, wherein (1) the original signal conversion unit includes a synchronization signal extraction unit that extracts a synchronization signal of an original signal from an input signal input to the original signal conversion unit; An input unit that outputs an internal signal derived from an impulse response response from an input signal, a signal conversion unit that converts the internal signal into a signal that includes a singular point, and a signal that includes a singular point from the signal conversion unit (2) An input signal having an original signal can be converted into an internal signal derived from an impulse response response, and a signal including a singular point can be generated with reference to the synchronization signal of the original signal. A signal processing system which converts the internal signal into a signal including a singular point using a specific function and outputs a signal including a singular point.   A signal processing system including an original signal conversion unit, wherein (1) the original signal conversion unit includes a synchronization signal extraction unit that extracts a synchronization signal of an original signal from an input signal input to the original signal conversion unit; An input unit that outputs an internal signal derived from an impulse response response of the input unit from the input signal, a signal conversion unit that converts the internal signal into a signal including a quasi-singular point, and a quasi-singular point from the signal conversion unit And (2) generating an internal signal suitable for internal signal conversion from the input signal having the original signal, and performing signal processing based on the synchronization signal of the original signal as a quasi-singular A signal processing system which converts the internal signal into a signal including a quasi-singular point using a specific function capable of generating a signal including a point and outputs a signal including a quasi-singular point.   A signal processing system comprising the original signal conversion unit according to claim 1, wherein (1) a signal including a singular point from the original signal conversion unit is transmitted to the original signal conversion unit by a specific signal processing. An error detecting means for detecting a signal error of the singular point, and a signal converted by the signal converting means from the error signal detected by the error detecting means with a high accuracy singular point. And (2) a signal including a singular point is converted into a signal having a singular point by specific signal processing, and an erroneous calculation of the signal possessed by the converted singular point is detected. And correcting the signal including the singular point from the detected error signal and outputting the signal including the singular point with high accuracy.   A signal processing system comprising the original signal conversion unit according to any one of claims 1 and 3, wherein: (1) a synchronization interval at a certain ratio from the synchronization signal output from the synchronization signal extraction means of the original signal conversion unit Second synchronization signal generating means for generating a second synchronization signal with a shortened length, column synchronization signal generating means for generating a column synchronization signal synchronized with a code string from the synchronization signal, and the column synchronization signal and second synchronization Code sequence creating means for generating an orthogonal singularity in the internal signal from the input unit of the original signal conversion unit with reference to the signal, and (2) a code obtained by adding a predetermined code to the internal signal Create columns to generate orthogonal singularities between or within column synchronization signals, include singularities for each second synchronization signal, and have at least one orthogonal singularity for each column synchronization signal A signal processing system characterized by outputting a signal .   5. A signal processing system comprising the original signal conversion unit according to claim 1, wherein (1) the original signal conversion unit is newly synchronized with a synchronization signal based on a synchronization signal. A short sync signal generating means for generating a short sync signal having a short length, a short code converting process for converting the short sync signal generated by the short sync signal generating means into a short code signal, and a signal of the signal processing system Short signal conversion means for converting the short code signal into a signal including a singular point instead of the conversion means, and (2) calculation with a predetermined code based on the short synchronization signal having a shorter synchronization length than the synchronization signal To a short code signal, a signal including a singular point is generated in the short code signal, and a signal including a singular point is output for each short synchronization signal.   6. A signal processing system comprising the original signal conversion unit according to claim 5, wherein a plurality of predetermined codes are sequentially selected for a synchronization signal section, and a short code signal is generated by calculating the selected code. A signal processing system which converts the short code signal into a signal including a singular point and outputs a signal including a singular point for each short synchronization to the signal including the short singular point.   A signal processing system comprising the original signal conversion unit according to any one of claims 5 to 6, wherein the specific code used for the short code conversion process is a code having an orthogonal singularity at a specific position, A signal processing system which outputs a signal including a singular point for each short synchronization and having an orthogonal singular point for each synchronization.   A signal processing system comprising the original signal conversion unit according to any one of claims 1 and 3 to 7, wherein the signal including a singular point generated by the signal conversion means of the original signal conversion unit of the signal processing system is The difference from the identification point by the code determination in the singularity region is reduced, and the identification point by the code determination corresponding to the output signal can be identified by other identification methods. A signal processing system for outputting a signal including a singular point.   A signal processing system comprising the original signal conversion unit according to any one of claims 1 and 3 to 8, further comprising an encoding unit, and processing an internal signal from an input unit of the original signal conversion unit Then, the signal processing system is characterized by decomposing a specific function to be converted into a signal including a singularity into components and outputting the function together with a signal including the singularity.   A signal processing system comprising the original signal conversion unit according to any one of claims 1 and 3 to 9, wherein (1) a noise generating means for generating a noise signal in the original signal conversion unit, and an output unit A signal processing system characterized by comprising a synthesis unit for adding noise to the signal output from the signal generator, and (2) combining with the noise added with the signal including the singular point and outputting the synthesized signal. A computer-readable information recording medium recording a program to be executed by a computer,
(1) The program is
A synchronization signal extraction step of extracting the synchronization signal of the original signal from the input signal,
An input step of outputting an internal signal derived from a response of an impulse response from the input signal;
A signal conversion step of converting the internal signal into a signal including a singular point;
An output step for outputting a signal including a singular point from the signal conversion step; and
Is a program for causing a computer to execute
(2) The signal converting step converts the internal signal into a signal including a singular point using a specific function capable of generating a signal including a singular point on the basis of the synchronization signal of the original signal. Yes,
(3) The program further causes a computer to execute a singular point function generation step for generating a specific singular point function.
The computer-readable information recording medium having a program recorded thereon, wherein the specific function capable of generating a signal including the singular point is the specific singular point function. A computer-readable information recording medium in which a program to be executed by a computer according to claim 11 is recorded,
(1) The program further includes:
A second synchronization signal generating step for generating a second synchronization signal having a synchronization interval shortened at a certain rate;
A column synchronization signal generating step for generating a column synchronization signal synchronized with a code string from the second synchronization signal;
A signal conversion step of converting the second synchronization signal into a signal including a singular point using a specific singularity function;
A code sequence creation step for creating a code sequence signal having an orthogonal singularity by adding a predetermined code to the signal including the singularity transformed in the signal transformation step;
Passing a signal including a code sequence signal having singularities and orthogonal singularities outside;
Is a program for causing a computer to execute
(2) The code sequence creating step creates a code sequence signal to which a predetermined code is added using a second synchronization signal with a shorter synchronization interval, and a signal having orthogonal singularities between code sequences or within the code sequence To obtain a signal including a singular point for each second synchronization signal and having an orthogonal singular point for each column synchronization.
The computer-readable information recording medium which recorded the program characterized by the above-mentioned. A computer-readable information recording medium recording a program to be executed by a computer according to any one of claims 11 to 12,
(1) The program further includes:
A short synchronization signal generating step for generating a short synchronization signal from the synchronization signal;
A short code generation step of generating a predetermined short code signal by the short synchronization signal;
A short signal conversion step for converting the short code signal into a signal including a singular point;
Is a program for causing a computer to execute
(2) The signal including the singular point includes a singular point for each short synchronization.
A computer-readable information recording medium recording a program to be executed by a computer. A computer-readable information recording medium recording a program to be executed by a computer according to any one of claims 11 to 12,
(1) The program further includes:
A short synchronization signal generating step for generating a short synchronization signal from the synchronization signal;
A short signal generating step for generating a predetermined short signal;
A short signal conversion step for converting the short signal generated by the short code generation step into a signal including a singular point;
Is a program for causing a computer to execute
(2) The signal including the singular point includes a singular point for each short synchronization and also has an orthogonal singular point for each synchronization.
A computer-readable information recording medium recording a program to be executed by a computer. A computer recording a program to be executed by a computer according to claim 11. A computer-readable information recording medium,
The signal conversion step includes
(1) A signal including a singular point reduces a difference in code identification in a singular point region,
(2) The code identification corresponding to the output signal can be distinguished from other identification methods.
Get signal containing singularity
A computer-readable information recording medium recording a program to be executed by a computer. A computer-readable information recording medium storing a program to be executed by a computer according to any one of claims 11 to 15,
The program is a program for causing a computer to execute a step of further decomposing an arithmetic function to be processed into a specific singularity function into components, symbolizing it, and outputting it together with a signal including a singularity.
A computer-readable information recording medium on which a program to be executed by a computer is recorded. A computer-readable information recording medium recording a program to be executed by a computer according to any one of claims 11 to 16,
The program further includes:
(1) a noise generation step for generating a noise signal;
A synthesis step for adding noise to the signal output from the singularity transformation step;
A computer-readable information recording medium recording a program to be executed by a computer, characterized in that the program is executed by a computer. A computer-readable information recording medium recording a program to be executed by a computer,
(1) The program extracts the synchronization signal of the original signal from the inputted input signal. A synchronization signal extraction step;
An input step of outputting an internal signal derived from a response of an impulse response from the input signal;
A signal conversion step of converting the internal signal into a signal including a quasi-singular point;
An output step of outputting a signal including the quasi-singular point converted in the signal conversion step;
Is a program for causing a computer to execute
(2) The input step of outputting the internal signal generates an internal signal derived from the response of the impulse response from the input signal having the original signal,
The signal conversion step of converting into a signal including the quasi-singularity is performed by using a specific function capable of generating a signal including a quasi-singularity by performing signal processing on the basis of the synchronization signal of the original signal, Converts to a signal containing quasi-singularities
The computer-readable information recording medium which recorded the program characterized by the above-mentioned.

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