JPH0234551B2 - - Google Patents
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- Publication number
- JPH0234551B2 JPH0234551B2 JP59233825A JP23382584A JPH0234551B2 JP H0234551 B2 JPH0234551 B2 JP H0234551B2 JP 59233825 A JP59233825 A JP 59233825A JP 23382584 A JP23382584 A JP 23382584A JP H0234551 B2 JPH0234551 B2 JP H0234551B2
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Links
- 238000006243 chemical reaction Methods 0.000 claims abstract description 34
- 230000005540 biological transmission Effects 0.000 claims abstract description 32
- 238000000034 method Methods 0.000 claims description 26
- 238000001514 detection method Methods 0.000 claims description 5
- 230000003247 decreasing effect Effects 0.000 abstract 1
- 238000010586 diagram Methods 0.000 description 5
- 238000004891 communication Methods 0.000 description 3
- 230000000694 effects Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000001360 synchronised effect Effects 0.000 description 1
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
- H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
- H04L27/3405—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power
- H04L27/3411—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power reducing the peak to average power ratio or the mean power of the constellation; Arrangements for increasing the shape gain of a signal set
-
- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
- H03M1/00—Analogue/digital conversion; Digital/analogue conversion
- H03M1/66—Digital/analogue converters
- H03M1/664—Non-linear conversion not otherwise provided for in subgroups of H03M1/66
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- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Physics & Mathematics (AREA)
- Nonlinear Science (AREA)
- Theoretical Computer Science (AREA)
- Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
Abstract
Description
【発明の詳細な説明】
〔産業上の利用分野〕
本発明は変復調装置に関し、特に多値直交振幅
変調方式を用いる変復調装置に関する。DETAILED DESCRIPTION OF THE INVENTION [Field of Industrial Application] The present invention relates to a modulation/demodulation device, and particularly to a modulation/demodulation device using a multilevel orthogonal amplitude modulation method.
多値直交振幅変調方式は、搬送波帯の専有周波
数幅の単位周波数当りの伝送情報量が大きく、無
線伝送において電波を有効に使用できるので大容
量のデイジタル無線通信に用いられる。
The multilevel orthogonal amplitude modulation method is used for large-capacity digital wireless communication because the amount of information transmitted per unit frequency of the exclusive frequency width of the carrier band is large and radio waves can be used effectively in wireless transmission.
従来の多値直交振幅変調方式について図面を用
いて説明する。 A conventional multilevel orthogonal amplitude modulation method will be explained with reference to the drawings.
第3図は多値直交振幅変調方式の信号点の配置
を示す説明図であり、256値の場合について信号
平面上の第一象限の部分の信号点を示している。 FIG. 3 is an explanatory diagram showing the arrangement of signal points in the multilevel orthogonal amplitude modulation method, and shows signal points in the first quadrant on the signal plane in the case of 256 values.
従来の256値直交振幅変調方式は、それぞれが
4桁の2進符号である入力p信号および入力q信
号を、たがいに間隔が2k(kは正の定数)である
−15k〜15kの24個(=16個)のp座標およびq
座標のそれぞれの一つに対応させる。第3図の黒
丸印および白丸印の合計64個の信号点はこのよう
にして作つた22×4個(=256個)の信号点のうち
の1/4を示している。信号点群の最外側点が正方
形であるから、従来の多値直交振幅変調方式を正
方状多値直交振幅変調方式ということにする。 In the conventional 256-value orthogonal amplitude modulation method, the input p signal and the input q signal, each of which is a 4 -digit binary code, are divided into 24 signals from -15k to 15k with an interval of 2k (k is a positive constant). (=16) p coordinates and q
correspond to each one of the coordinates. A total of 64 signal points marked with black circles and white circles in FIG. 3 indicate 1/4 of the 22 ×4 (=256) signal points created in this way. Since the outermost point of the signal point group is a square, the conventional multi-level orthogonal amplitude modulation method will be referred to as a square multi-value orthogonal amplitude modulation method.
変調された搬送波帯信号の振幅は信号平面の原
点から信号点までの距離に比例するから、正方状
256値直交振幅変調方式ではこの振幅の最大値と
最小値との比Rは√2×152/√2×12=15であ
る。一般に正方状22n値直交振幅変調方式のRは
(2n−1)となり大きな値である。 Since the amplitude of the modulated carrier band signal is proportional to the distance from the origin of the signal plane to the signal point, it is
In the 256-value orthogonal amplitude modulation method, the ratio R between the maximum value and the minimum value of the amplitude is √2×15 2 /√2×1 2 =15. Generally, R in the square 2 2n value orthogonal amplitude modulation system is (2 n -1), which is a large value.
変調器から復調器にいたる伝送路には振幅に依
存する伝送歪があり、Rの値が大きいほどこの歪
が大きい。 The transmission path from the modulator to the demodulator has transmission distortion that depends on the amplitude, and the larger the value of R, the greater this distortion.
以上説明したように従来の正方状多値直交振幅
変調方式は伝送路において受ける歪が大きいとい
う欠点がある。 As explained above, the conventional square multi-value orthogonal amplitude modulation method has the drawback that distortion is large in the transmission path.
本発明が解決しようとする問題点、いいかえれ
ば本発明の目的は上記の欠点を解決して、Rが小
さく伝送路において受ける歪が小さい多値直交振
幅変調方式を用いる変復調装置を提供することに
ある。
The problem to be solved by the present invention, or in other words, the purpose of the present invention is to solve the above-mentioned drawbacks and to provide a modulation/demodulation device using a multilevel orthogonal amplitude modulation method in which R is small and distortion caused in a transmission path is small. be.
本発明の変復調装置は、それぞれがn(nは3
以上の自然数)桁の2進符号である第一の入力p
信号および入力q信号を信号平面上で互いに直交
するp軸およびq軸の方向の等間隔の2n個の座標
の一つにそれぞれ対応させる正方状多値直交振幅
変調方式の信号点の一部の位置を変更して、互い
に隣接する2信号点間の距離を常に一定にし信号
点群の最外側点を円形に近く配置した円状多値直
交振幅変調方式を用いる変調器と復調器とを具備
する変復調装置において、前記変調器は、前記第
一の入力p信号およびq信号に対応する前記正方
状多値直交振幅変調方式の信号点の位置が前記円
状多値直交振幅変調方式において前記変更を要す
るか要しないかを判別して第一の判別結果を出力
し前記変更を要するときは前記変更のいずれかに
ともない符号が変更される桁の前記第一の入力p
信号および入力q信号の符号からなる第二の入力
p信号および入力q信号を論理変換して前記第二
の入力p信号および入力q信号とそれぞれが同じ
桁数の2進符号である第三の入力p信号および入
力q信号とそれぞれがすくなくとも1桁の2進符
号である第四の入力p信号および入力q信号とを
出力し前記変更を要しないときはそれぞれのすべ
ての桁の符号が値“0”をとる前記第四の入力p
信号および入力q信号を出力する送信論理変換部
と、前記送信論理変換部の前記第一の判別結果に
もとづき前記第二の入力p信号および入力q信号
または前記第三の入力p信号および入力q信号の
いずれかを選択して出力する送信径路選択部と、
前記変更のいずれによつても符号が変更しない桁
の前記第一の入力p信号または入力q信号の符号
からなる第五の入力p信号または入力q信号と前
記送信径路選択部の出力である前記第二もしくは
前記第三の入力p信号または入力q信号と前記第
四の入力p信号または入力q信号とを入力し前記
第四の入力p信号または入力q信号のすべての桁
の符号が値“0”のときはたがいに等間隔の2n個
の値の一つをとり前記第四の入力p信号または入
力q信号のいずれかの桁の符号が値“1”をとる
ときは互いに等間隔の2n個をこえる個数の値の一
つをとる多値信号Pまたは多値信号Qを出力する
2個のD−A変換部と前記多値信号Pおよび多値
信号Qを入力し直交振幅変調波を出力する直交変
調回路とを備え、前記復調部は、前記直交振幅変
調波を入力し前記多値信号Pおよび多値信号Qを
出力する直交検波回路と前記多値信号Pまたは多
値信号Qを入力し前記第五の入力p信号または入
力q信号に対応する第一の出力p信号または出力
q信号と前記第二もしくは前記第三の入力p信号
または入力q信号に対応する第二の出力p信号ま
たは出力q信号と前記第四の入力p信号または入
力q信号に対応する第三の出力p信号または出力
q信号とを出力する2個のA−D変換部と、前記
第二の出力p信号および出力q信号と前記第三の
出力p信号および出力q信号とを入力し前記第三
の出力p信号および出力q信号のそれぞれのすべ
ての桁の符号が値“0”であるかそうでないかを
判別して第二の判別結果を出力しそうでないとき
は前記第二の出力p信号および出力q信号ならび
に前記第三の出力p信号および出力q信号を論理
変換して前記第二の出力p信号および出力q信号
とそれぞれが同じ桁数の2進符号である第四の出
力p信号および出力q信号を出力する受信論理変
換部と、前記受信論理変換部の前記第二の判別結
果にもとづき前記第二の出力p信号および出力q
信号または前記第四の出力p信号および出力q信
号のいずれかを選択して出力する受信径路選択部
とを備えて構成される。
The modem and modem of the present invention each have n (n is 3
The first input p is a binary code of (natural number) digits
Some of the signal points of a square multilevel orthogonal amplitude modulation system in which the signal and the input q signal each correspond to one of 2n coordinates equally spaced in the p-axis and q-axis directions that are orthogonal to each other on the signal plane A modulator and a demodulator that use a circular multilevel orthogonal amplitude modulation method in which the distance between two adjacent signal points is always constant by changing the position of the signal point group, and the outermost point of the signal point group is arranged close to a circle. In the modulation/demodulation device comprising: the modulator, the position of the signal point of the square multi-value quadrature amplitude modulation method corresponding to the first input p signal and q signal is set to the position of the signal point of the square multi-value quadrature amplitude modulation method, Determine whether or not a change is required and output the first determination result, and if the change is required, the first input p of the digit whose sign is changed in accordance with any of the changes.
A second input p signal and an input q signal consisting of the signs of the signal and the input q signal are logically converted to obtain a third input signal, each of which is a binary code having the same number of digits as the second input p signal and input q signal. When outputting an input p signal and an input q signal and a fourth input p signal and input q signal, each of which is a binary code of at least one digit, and when the above change is not required, the sign of all digits of each is a value " Said fourth input p which takes 0''
a transmission logic converter that outputs a signal and an input q signal; and a transmission logic converter that outputs the second input p signal and input q signal or the third input p signal and input q based on the first determination result of the transmission logic converter. a transmission route selection unit that selects and outputs one of the signals;
a fifth input p signal or input q signal consisting of the sign of the first input p signal or input q signal whose sign is not changed by any of the changes; The second or third input p signal or input q signal and the fourth input p signal or input q signal are input, and the sign of all digits of the fourth input p signal or input q signal is a value "0", one of 2n values are equally spaced from each other, and when the sign of any digit of the fourth input p signal or input q signal takes the value "1", the values are equally spaced from each other. Two D-A converters output a multi-value signal P or a multi-value signal Q that takes one of the values exceeding 2 n , and the multi-value signal P and the multi-value signal Q are inputted and the orthogonal amplitude is calculated. an orthogonal modulation circuit that outputs a modulated wave; A first output p signal or output q signal corresponding to the fifth input p signal or input q signal, and a second output signal Q corresponding to the second or third input p signal or input q signal. two A-D converters that output an output p signal or an output q signal and a third output p signal or output q signal corresponding to the fourth input p signal or input q signal; and the third output p signal and output q signal are input, and the sign of all digits of each of the third output p signal and output q signal is the value "0". If not, logically converts the second output p signal and output q signal and the third output p signal and output q signal to output the second determination result. a reception logic conversion section that outputs a fourth output p signal and an output q signal, each of which is a binary code having the same number of digits as the output p signal and output q signal; and the second determination of the reception logic conversion section. Based on the result, the second output p signal and the output q
and a receiving path selection section that selects and outputs either the signal or the fourth output p signal and the fourth output q signal.
以下実施例を示す図面を参照して本発明につい
て詳細に説明する。
The present invention will be described in detail below with reference to drawings showing embodiments.
第1図・第2図は本発明の変復調装置の一実施
例を構成する変調器・復調器を示すブロツク図で
あり、(S11S21S31S41)・(S12S22S32S42)はそれぞ
れ4桁の2進符号、は排他的論理和回路(以
下、EX−OR回路とよぶ)を表す。 FIGS . 1 and 2 are block diagrams showing a modulator / demodulator constituting an embodiment of the modulation/demodulation device of the present invention . S 42 ) represents a four-digit binary code, and represents an exclusive OR circuit (hereinafter referred to as an EX-OR circuit).
第1図に示す変調器は、p信号S11・q信号S12
を入力し4相送信差動変換してp信号D1・q信
号D1(二つの信号D1のうち上の方をp信号D1とす
る)を出力する送信差動論理回路11と、p信号
(S21S31S41)・q信号(S22S32S42)入力し信号
TCONT・p信号(S21′S31′S41′)・q信号
(S22′S32′S42′)・p信号H1・q信号H2を出力する
送信論理変換部12と、p信号(S21S31S41)・q
信号(S22S32S42)・p信号(S21′S31′S41′)・q信
号(S22′S32′S42′)・信号TCONTを入力しp信号
(S21S31S41)・q信号(S22S32S42)を出力するか
またはp信号(S21′S31′S41)・q信号
(S22′S32′S42′)を出力する送信径路選択部13と
、
13個のEO回路と4個のAND回路とから構成され
p信号D1・q信号D1と送信径路選択部13の出
力とp信号H1・q信号H2とを入力しp信号D1・
q信号D1とそれぞれが3桁の2進符号であるp
信号・q信号とp信号E4・q信号E4とを出力す
る符号変換部14と、それぞれが3個のEX−
OR回路から構成されp信号D1またはq信号D1と
符号変換部14の出力であり3桁の2進符号であ
るp信号またはq信号とp信号E4またはq信号
E4とを入力しp信号(D1D2D3D3′E4)またはq信
号(D1D2D3D3′E4)を出力する2個の符号変換部
15と、NOT回路161とEX−OR回路162
とD−A変換回路163とから構成されp信号
(D1D2D3D3′E4)またはq信号(D1D2D3D3′E4)
を入力し多値信号である信号Pまたは信号Qを出
力する2個のD−A変換部16と、直交変調回路
(図示されていない)とを備えて構成されている。 The modulator shown in FIG. 1 has a p signal S 11 and a q signal S 12
a transmission differential logic circuit 11 that inputs a signal, performs four-phase transmission differential conversion, and outputs a p signal D 1 and a q signal D 1 (the upper of the two signals D 1 is defined as the p signal D 1 ); P signal (S 21 S 31 S 41 )/Q signal (S 22 S 32 S 42 ) input signal
A transmission logic converter 12 that outputs TCONT, p signal (S 21 ′S 31 ′S 41 ′), q signal (S 22 ′S 32 ′S 42 ′), p signal H 1 , and q signal H 2 ; Signal (S 21 S 31 S 41 )・q
Input the signal (S 22 S 32 S 42 ), p signal (S 21 ′S 31 ′S 41 ′), q signal (S 22 ′S 32 ′S 42 ′), and signal TCONT, and input the p signal (S 21 S 31 S 41 )/q signal (S 22 S 32 S 42 ) or p signal (S 21 ′S 31 ′S 41 )/q signal (S 22 ′S 32 ′S 42 ′) A selection section 13;
It is composed of 13 EO circuits and 4 AND circuits, and inputs the p signal D1 , q signal D1 , the output of the transmission path selection section 13, and the p signal H1 , q signal H2, and generates the p signal D1.・
q signal D 1 and p each being a 3-digit binary code
A code converter 14 outputting the signal/q signal and the p signal E4 /q signal E4 , and each of the three EX-
The p signal D 1 or q signal D 1 is composed of an OR circuit, the p signal or q signal which is the output of the code converter 14 and is a 3-digit binary code, and the p signal E 4 or the q signal
Two code converters 15 input the signal E4 and output the p signal (D 1 D 2 D 3 D 3 ′E 4 ) or the q signal (D 1 D 2 D 3 D 3 ′E 4 ), and the NOT Circuit 161 and EX-OR circuit 162
and a D-A conversion circuit 163, and outputs a p signal (D 1 D 2 D 3 D 3 'E 4 ) or a q signal (D 1 D 2 D 3 D 3 'E 4 ).
It is configured to include two DA converters 16 that input a signal P or a signal Q that is a multilevel signal, and an orthogonal modulation circuit (not shown).
第2図に示す復調器は、信号P・信号Qを出力
する直交検波回路(図示されていない)と、信号
Pまたは信号Qを入力しp信号(D1D2D3D3′E4)
またはq信号(D1D2D3D3′E4)を出力する2個の
A−D変換回路26と、それぞれが3個のEX−
OR回路から構成されp信号(D1D2D3D3′E4)ま
たはq信号(D1D2D3D3′E4)を入力し5桁の2進
符号であるp信号又はq信号を出力する2個の符
号変換部25と、2個の符号変換部25の出力で
あるp信号・q信号を入力しp信号D1・q信号
D1とp信号(S21″S31″S41″)・q信号
(S22″S32″S42″)とp信号H1・q信号H2とを出力
する符号変換部24と、p信号(S21″S32″S42″)・
q信号(S22″S32″S42″)とp信号H1・q信号H2と
を入力し信号RCONTとそれぞれが3桁の2進符
号であるp信号・q信号とを出力する受信論理変
換部22と、p信号(S21″S31″S41″)・q信号
(S22″S32″S42″)と受信論理変換部22の出力であ
るp信号・q信号と信号RCONTとを入力しp信
号(S21″S31″S41)・q信号(S22″S32″SD42″)を
出
力するかまたは受信論理変換部22の出力である
p信号・q信号を出力する送信径路選択部23
と、p信号D1・q信号D1を入力し4相受信差動
変換して出力する受信差動論理回路21とを備え
て構成されている。 The demodulator shown in FIG. 2 includes a quadrature detection circuit (not shown) that outputs a signal P and a signal Q, and a p signal (D 1 D 2 D 3 D 3 'E 4 )
Alternatively, two A-D converter circuits 26 outputting the q signal (D 1 D 2 D 3 D 3 'E 4 ) and three EX-
It is composed of an OR circuit, and inputs the p signal (D 1 D 2 D 3 D 3 ′E 4 ) or the q signal (D 1 D 2 D 3 D 3 ′E 4 ), and generates the p signal or the 5-digit binary code. The two code conversion units 25 that output the q signal and the p signal and q signal output from the two code conversion units 25 are input, and the p signal D 1 and the q signal are input.
a code conversion unit 24 that outputs D 1 , p signal (S 21 ″S 31 ″S 41 ″), q signal (S 22 ″S 32 ″S 42 ″), and p signal H 1 and q signal H 2 ; p signal (S 21 ″S 32 ″S 42 ″)・
Reception that inputs the q signal (S 22 ″S 32 ″S 42 ″) and the p signal H 1 and q signal H 2 and outputs the signal RCONT and the p signal and q signal, each of which is a 3-digit binary code. The logic converter 22, the p signal (S 21 ″S 31 ″S 41 ″), the q signal (S 22 ″S 32 ″S 42 ″), the p signal, the q signal that is the output of the reception logic converter 22, and the signal RCONT and outputs the p signal (S 21 ″S 31 ″S 41 ) and q signal (S 22 ″S 32 ″SD 42 ″), or the p signal and q signal that are the output of the reception logic converter 22. A transmission route selection unit 23 that outputs
and a reception differential logic circuit 21 which inputs the p signal D1 and the q signal D1 , performs four-phase reception differential conversion, and outputs the resultant signal.
第1図・第2図に示す実施例は円状256値直交
振幅変調方式を用いている。 The embodiment shown in FIGS. 1 and 2 uses a circular 256-value orthogonal amplitude modulation method.
第3図を参照してこの方式の信号点の配置を説
明すると、信号平面の第一象限においては、正方
状256値直交振幅変調方式の信号点の一部である
信号点a・b・c・d・e・fを信号点a′・b′・
c′・d′・e′・f′に変換し第二・三・四象限におい
ても同様に変更して信号点群の最外側点を円状に
する。すなわち黒丸印および三角印の64個の信号
点がこの方式の信号点の配置の第一象限の部分を
表す。この信号点配置においては、搬送波帯信号
の振幅の最大値と最小値との比Rは√157であり
正方状256値直交振幅変調方式におけるRの約
0.84倍になつている。 To explain the arrangement of signal points in this method with reference to FIG. 3, in the first quadrant of the signal plane, there are signal points a, b, and c, which are part of the signal points of the square 256-value orthogonal amplitude modulation method.・d・e・f as signal points a′・b′・
Convert to c′, d′, e′, f′ and make the same changes in the second, third, and fourth quadrants to make the outermost point of the signal point group circular. That is, the 64 signal points marked with black circles and triangles represent the first quadrant of the signal point arrangement of this method. In this signal point arrangement, the ratio R between the maximum value and the minimum value of the carrier band signal amplitude is √157, which is approximately R in the square 256-value orthogonal amplitude modulation method.
It has become 0.84 times.
次に第1図・第2図に示す実施例の動作につい
て説明する。 Next, the operation of the embodiment shown in FIGS. 1 and 2 will be explained.
第1図に示す変調器の動作説明の最初にD−A
変換部16の動作を説明する。 At the beginning of the explanation of the operation of the modulator shown in FIG.
The operation of the converter 16 will be explained.
D−A変換回路163は入力信号
(D1D2D3D3′E4)に対して値k〔(−1)D1・23+
(−1)D2・22+(−1)D3・21+(−1)D3′・21+
(−
1)D4・20〕を有する多値信号である信号Pまた
は信号Qを出力するように構成されているので、
D−A変換部16は入力信号(D1D2D3D3′E4)に
対して値k〔(−1)D1・23+(−1)D2・22+(−1
)
D3・21+(−1)D3′・21+(−1)(D3′
E4)・20〕を有
する信号Pまたは信号Qを出力する(3′はD3′の
極性反転値を、は排他的論理和演算を表す)。
したがつてE4=0のときは、入力信号
(D1D2D3D3′)に対し、2進数(D1D2D3D3′)の
大小関係と逆の大小関係にあり間隔が“2k”で
ある16個の値の一つを出力する。入力信号
(D1D2D3D3′E4)が(00000)のとき出力は
“15k”であり、(11110)のとき出力は“−15k”
である。(00001)のとき出力は“17k”となり、
(11111)のときは“−17”となる。 The D - A conversion circuit 163 converts the value k [ ( -1 ) D1 ・2 3 +
(-1) D2・2 2 +(-1) D3・2 1 +(-1) D3 '・2 1 +
(−
1) Since it is configured to output signal P or signal Q, which is a multilevel signal having D4・20 ],
The D-A converter 16 converts the input signal (D 1 D 2 D 3 D 3 'E 4 ) into a value k [(-1) D1 2 3 + (-1) D2 2 2 + (-1
)
D3・2 1 + (−1) D3 ′・2 1 + (−1) (D3 ′ E4)・2 0 ] ( 3 ′ is the polarity inversion value of D 3 ′) , represents an exclusive OR operation).
Therefore, when E 4 = 0, the input signal (D 1 D 2 D 3 D 3 ′) has a magnitude relationship that is opposite to that of the binary number (D 1 D 2 D 3 D 3 ′). Outputs one of 16 values with an interval of “2k”. When the input signal (D 1 D 2 D 3 D 3 ′E 4 ) is (00000), the output is “15k”, and when it is (11110), the output is “−15k”.
It is. (00001), the output is “17k”,
(11111), it becomes “-17”.
さて、第1図に示す変調器の入力信号であるp
信号(S11S21S31S41)・q信号(S12S22S33S44)に
対応する信号点が第3図の黒丸印の一つ(第二・
三・四象限にも原点に対して点対象に黒丸印が存
在するものとする)であるときは、送信論理変換
部12はこのことを検出して、論理値“0”をと
る信号TCONTと、それぞれ値が“0”であるp
信号H1・q信号H2とを出力する。送信径路選択
部13は信号TCONTの値が論理値“0”のとき
p信号(S21S31S41)・q信号(S22S32S42)を選択
して出力する。符号変換部14と2個の符号変換
部15とは一体となつてp信号
(S21S31S41S41H1)・q信号(S22S32S42H2)を回
転対称変換し一方の符号変換部15はp信号
(D1D2D3D3′E4)を出力し他方の符号変換部15
はq信号(D1D2D3D3′E4)を出力する(このとき
はE4=0となる)。2個の符号変換部15の出力
は2個のD−A変換部16ですでに説明したよう
にD−A変換され信号Pおよび信号Qとなる。直
交変調回路は、同一周波数でたがいに直交する二
つの搬送波を一方は信号Pで他方は信号Qで振幅
変調し合成して搬送波帯信号とする(この部分は
図示されていない)。p信号(S21S31S41H1)・q
信号(S22S32S42H2)は符号変換部14と2個の
符号変換部15とで回転対称変換されているの
で、上記のようにして得られた任意の信号点に対
応するp信号(S21S31S41H1)・q信号
(S22S32S42H2)と、この信号点を信号平面の原点
を中心としてπ/2・πまたは3π/2回転した
位置の信号点に対応するp信号(S21S31S41H1・
q信号(S22S32S42H2)とは一致する。したがつ
てp信号(S11S21S31S41)・q信号
(S12S22S32S42)のそれぞれの2桁目以降の符号
が受信復調のさい4相位相不確定性の影響を受け
ない信号点配置になつている。S11・S12は送信差
動論理回路11の作用により4相位相不確定性の
影響を受けない。 Now, the input signal p of the modulator shown in FIG.
The signal point corresponding to the signal (S 11 S 21 S 31 S 41 ) and the q signal (S 12 S 22 S 33 S 44 ) is one of the black circles in Figure 3 (the second
), the transmission logic converter 12 detects this and converts the signal TCONT to a logic value of "0". , p whose value is “0”
Outputs signal H1 and q signal H2 . The transmission path selection unit 13 selects and outputs the p signal (S 21 S 31 S 41 ) and the q signal (S 22 S 32 S 42 ) when the value of the signal TCONT is a logical value “0”. The code converter 14 and the two code converters 15 work together to rotationally symmetrically transform the p signal (S 21 S 31 S 41 S 41 H 1 ) and the q signal (S 22 S 32 S 42 H 2 ). One code converter 15 outputs the p signal (D 1 D 2 D 3 D 3 ′E 4 ), and the other code converter 15
outputs a q signal (D 1 D 2 D 3 D 3 ′E 4 ) (E 4 =0 in this case). The outputs of the two code converters 15 are subjected to D/A conversion by the two D/A converters 16 to become the signal P and the signal Q, as described above. The orthogonal modulation circuit amplitude-modulates two carrier waves having the same frequency and being orthogonal to each other, one with a signal P and the other with a signal Q, and synthesizes them into a carrier band signal (this part is not shown). p signal (S 21 S 31 S 41 H 1 )・q
Since the signal (S 22 S 32 S 42 H 2 ) has been rotationally symmetrically transformed by the code converter 14 and the two code converters 15, the p Signal (S 21 S 31 S 41 H 1 ), q signal (S 22 S 32 S 42 H 2 ) and the position of this signal point rotated by π/2, π or 3π/2 around the origin of the signal plane. p signal corresponding to the signal point (S 21 S 31 S 41 H 1・
It matches the q signal (S 22 S 32 S 42 H 2 ). Therefore, the codes of the second and subsequent digits of each of the p signal (S 11 S 21 S 31 S 41 ) and q signal (S 12 S 22 S 32 S 42 ) are affected by the four-phase phase uncertainty during reception demodulation. The signal points are arranged so that they are not affected by the signal. S 11 and S 12 are not affected by the four-phase phase uncertainty due to the action of the transmission differential logic circuit 11.
p信号(S11S21S31S41)・q信号
(S12S22S32S42)に対応する信号点が第3図の三
角印の一つであるときは、送信論理変換部12は
このことを検出して、論理値“1”をとる信号
TCONTを出力し、またp信号(S21S31S41)・q
信号(S22S32S42)を論理変換してp信号
(S21′S31′S41′)・q信号(S22′S32′S42′)とp
信号
H1・q信号H2とを出力する。第4図は、この論
理変換の真理値表を、第3図に示す信号点a・
b・c・d・e・fを信号点a′・b′・c′・d′・
e′・f′に変更する場合を例にとつて示したもので
ある。p信号H1・q信号H2のいずれか一方が
“0”に、他方が“1”になる。送信径路選択部
13は信号TCONTの値が論理値“1”のときp
信号(S21′S31′S41′)・q信号(S22′S32′S42′)
を選
択して出力する。符号変換部14と2個の符号変
換部15と2個のD−A変換部16とは、すでに
説明したのと同じ動作をする。このときもp信号
(S11S21S31S41)・q信号(S12S22S32S42)のそれ
ぞれの2桁目以降の符号が受信復調のさいの4相
位相不確定の影響を受けない信号点配置となつて
いる。 When the signal point corresponding to the p signal (S 11 S 21 S 31 S 41 )/q signal (S 12 S 22 S 32 S 42 ) is one of the triangle marks in FIG. detects this and outputs a signal that takes a logical value of “1”.
Outputs TCONT and also p signal (S 21 S 31 S 41 )・q
The signal (S 22 S 32 S 42 ) is logically converted and the p signal (S 21 ′S 31 ′S 41 ′), q signal (S 22 ′S 32 ′S 42 ′) and p
signal
Outputs H 1 and q signal H 2 . FIG. 4 shows the truth table of this logic conversion at signal point a and shown in FIG.
b, c, d, e, f as signal points a', b', c', d',
This example shows the case of changing to e′ and f′. One of the p signal H1 and the q signal H2 becomes "0" and the other becomes "1". The transmission path selection unit 13 selects p when the value of the signal TCONT is a logical value “1”.
Signal (S 21 ′S 31 ′S 41 ′)・q signal (S 22 ′S 32 ′S 42 ′)
Select and output. The code converter 14, the two code converters 15, and the two DA converters 16 operate in the same manner as already described. In this case, the codes of the second and subsequent digits of each of the p signal (S 11 S 21 S 31 S 41 ) and q signal (S 12 S 22 S 32 S 42 ) are affected by the four-phase phase uncertainty during reception demodulation. The signal point arrangement is such that it is not affected by
次に第2図に示す復調器の動作を説明する。 Next, the operation of the demodulator shown in FIG. 2 will be explained.
搬送波帯信号は直交検波回路で直交同期検波さ
れて信号P・信号Qとなる(この部分は図示され
ていない)。A−D変換回路26は信号Pまたは
信号Qを入力し、p信号(D1D2D3D3′E4)または
q信号(D1D2D3D3′E4)を出力する。このような
動作をするA−D変換回路26は17個のコンパレ
ータで容易に構成することができる。2個の符号
変換部25と符号変換部24とは一体となつて、
符号変換部14と2個の符号変換部15とが一体
となつて行う回転対称変換の逆変換を行う。p信
号H1・q信号H2がともに“0”のときは、p信
号(S21″S31″S41)・q信号(S22″S32″S42″)はp
信
号(S21S31S41)・q信号(S22S32S41)に等しい。
p信号H1・q信号H2のいずれか一方が“1”の
ときは、p信号(S21″S31″S41″)・q信号
(S22″S32″S42″)はp信号(S21′S31′S41′)・q
信号
(S22′S32′S42′)に等しい。p信号H1・q信号H2が
ともに“0”のとき、受信論理変換部22は論理
値“0”をとる信号RCONTを出力し、受信径路
選択部23は、信号RCONTの値が論理値“0”
のとき、p信号(S21″S31″S41″)・q信号
(S22″S32″S42″)すなわちp信号(S21S31S41)・q
信号(S22S32S42)を選択して出力する。p信号
H1・q信号H2のいずれか一方が“1”のとき、
受信論理変換部22は論理値“1”をとる信号
RCONTを出力し、またp信号(S21″S31″S41)・
q信号(S22″S32″S42)すなわちp信号
(S21′S31′S41)・q信号(S22′S32′S42′)とp信
号
H1・q信号H2とを論理変換する。この論理変換
は送信論理変換部12が行なう論理変換の逆変換
であり、受信論理変換部22の出力はp信号
(S21S31S41)・q信号(S22S32S42)である。受信
径路選択部23は信号RCONTの値が論理値
“1”のとき受信論理変換部22の出力であるp
信号(S21S31S41)・q信号(S22S32S42)を選択し
て出力する。受信差動論理回路21は入力である
p信号D1・q信号D1に対しp信号S11・q信号
S21を出力する。 The carrier band signal is subjected to orthogonal synchronous detection by an orthogonal detection circuit and becomes a signal P and a signal Q (this part is not shown). The A-D conversion circuit 26 inputs the signal P or the signal Q and outputs the p signal (D 1 D 2 D 3 D 3 ′E 4 ) or the q signal (D 1 D 2 D 3 D 3 ′E 4 ). . The A/D conversion circuit 26 that operates in this manner can be easily constructed with 17 comparators. The two code converters 25 and 24 are integrated,
The code converter 14 and the two code converters 15 work together to perform inverse rotational symmetric conversion. When both the p signal H 1 and the q signal H 2 are “0”, the p signal (S 21 ″S 31 ″S 41 ) and the q signal (S 22 ″S 32 ″S 42 ″) are p
Equal to signal (S 21 S 31 S 41 ) and q signal (S 22 S 32 S 41 ).
When either the p signal H 1 or the q signal H 2 is “1”, the p signal (S 21 ″S 31 ″S 41 ″) or the q signal (S 22 ″S 32 ″S 42 ″) is p. Signal (S 21 ′S 31 ′S 41 ′)・q
equal to the signal (S 22 ′S 32 ′S 42 ′). When both the p signal H 1 and the q signal H 2 are “0”, the reception logic converter 22 outputs the signal RCONT which takes the logical value “0”, and the reception path selection unit 23 outputs the signal RCONT which takes the logical value “0”. “0”
When , p signal (S 21 ″S 31 ″S 41 ″)・q signal (S 22 ″S 32 ″S 42 ″), that is, p signal (S 21 S 31 S 41 )・q
Select and output the signal (S 22 S 32 S 42 ). p signal
When either H 1 or q signal H 2 is “1”,
The reception logic converter 22 converts the signal to have a logic value of “1”.
Outputs RCONT and also outputs p signal (S 21 ″S 31 ″S 41 )・
q signal (S 22 ″S 32 ″S 42 ), i.e. p signal (S 21 ′S 31 ′S 41 ), q signal (S 22 ′S 32 ′S 42 ′) and p signal
Logically converts H 1 and q signal H 2 . This logic conversion is the inverse of the logic conversion performed by the transmission logic conversion unit 12, and the outputs of the reception logic conversion unit 22 are the p signal (S 21 S 31 S 41 ) and the q signal (S 22 S 32 S 42 ). . The reception path selection unit 23 selects p which is the output of the reception logic conversion unit 22 when the value of the signal RCONT is a logical value “1”.
Select and output the signal (S 21 S 31 S 41 ) and q signal (S 22 S 32 S 42 ). The receiving differential logic circuit 21 receives p signal S 11 and q signal in response to input p signal D 1 and q signal D 1.
Output S 21 .
以上で第1図・第2図に示す実施例の説明を終
える。 This completes the explanation of the embodiment shown in FIGS. 1 and 2.
第1図・第2図に示す実施例が用いる信号点配
置を用い、受信復調のさいに4相位相不確定性の
ない通信方式(たとえば搬送波帯信号に基準位相
信号を重畳する通信方式)を用いるときは、第1
図・第2図に示す実施例における送信差動論理回
路11・受信差動論理回路21・符号変換部1
4・符号変換部15・符号変換部24・符号変換
部25に相当するものは不要である。たゞしこの
ときは、p信号(S11S21S31S41)・q信号
(S12S22S32S42)に対応する正方状多値直交振幅
変調方式の信号点の位置が円状多値直交振幅変調
方式において変更を要するか要しないかの判定を
行うために送信論理変換部には信号
(S11S21S31S41)・信号(S12S22S32S42)を入力す
る必要がある。 Using the signal point arrangement used in the embodiment shown in Figures 1 and 2, a communication system without four-phase phase uncertainty during reception demodulation (for example, a communication system in which a reference phase signal is superimposed on a carrier band signal) is developed. When using, the first
Transmission differential logic circuit 11, reception differential logic circuit 21, and code conversion unit 1 in the embodiment shown in FIG.
4. Code conversion unit 15, code conversion unit 24, and code conversion unit 25 are not required. In this case, the position of the signal point of the square multi-level orthogonal amplitude modulation method corresponding to the p signal (S 11 S 21 S 31 S 41 ) and q signal (S 12 S 22 S 32 S 42 ) is circular. In order to determine whether a change is required in the multilevel quadrature amplitude modulation method, the transmission logic converter uses signals (S 11 S 21 S 31 S 41 ) and signals (S 12 S 22 S 32 S 42 ). must be entered.
以上256(=22×4)値の場合について実施例を示
したが、本発明は22n値(nは3以上の自然数)
のすべてについて用いることができる。 Although the embodiment has been described above for the case of 256 (=2 2 × 4 ) values, the present invention is applicable to 2 2n values (n is a natural number of 3 or more).
It can be used for all of the following.
信号P・信号Qをとる値の個数が(2n+2)個
のときは、第1図・第2図に示す実施例各構成要
素のうち送信差動論理回路11と受信差動論理回
路21を除く部分の段数をnの増減にあわせて増
減すればよい。 When the number of values for signal P and signal Q is (2 n +2), the transmitting differential logic circuit 11 and the receiving differential logic circuit 21 of the respective components of the embodiment shown in FIGS. It is only necessary to increase or decrease the number of stages in the portion other than , according to the increase or decrease in n.
信号P・信号Qのとる値の個数が(2n+2m)
個(mは3以上の自然数)になるときは、p信号
H1・q信号H2は2桁以上の桁と2進符号とする
必要がある。m=2または3の場合はp信号
H1・q信号H2を2桁の2進号とし、p信号H1ま
たはq信号H2に関係する。D−A変換部は、第
1図に示す4桁のD−A変換回路163に相当す
るn桁のA−D変換回路に下から3番目の桁の入
力端子を追加し、NOT回路161およびEX−
OR回路162から構成される回路と同じ構成の
回路を1組追加してD−A変換回路の追加した入
力端子および下から2番目の桁の入力端子に接続
する。p信号H1またはq信号H2の各桁の符号は
それぞれもとのEX−OR回路162と追加した
EO回路とに接続する。p信号H1・q信号H2の桁
数を3桁以上に増加しp信号H1またはq信号H2
に関係する部分の段数もそれぞれ上記の場合と同
様に増加すればmが4以上の場合にも対応できる
ことはあきらかである。 The number of values that signal P and signal Q take is (2 n + 2m)
(m is a natural number of 3 or more), p signal
The H 1 and q signals H 2 must have two or more digits and a binary code. p signal if m=2 or 3
The H 1 and q signals H 2 are two-digit binary codes and are related to the p signal H 1 or the q signal H 2 . The D-A conversion section adds an input terminal for the third digit from the bottom to an n-digit A-D conversion circuit corresponding to the four-digit D-A conversion circuit 163 shown in FIG. EX-
One set of circuits having the same configuration as that of the OR circuit 162 is added and connected to the added input terminal of the DA conversion circuit and the input terminal of the second digit from the bottom. The sign of each digit of p signal H1 or q signal H2 is added to the original EX-OR circuit 162.
Connect to EO circuit. Increase the number of digits of p signal H 1 and q signal H 2 to 3 or more digits and use p signal H 1 or q signal H 2
It is clear that the case where m is 4 or more can also be accommodated by increasing the number of stages of the portions related to each in the same manner as in the above case.
以上詳細に説明したように、本発明を用いるこ
ととにより、電波を有効に使用してしかも伝送路
において受ける歪が小さい円状多値直交振幅変調
方式を用いる変復調装置を提供できるという効果
がある。
As explained in detail above, by using the present invention, it is possible to provide a modulation/demodulation device using a circular multilevel orthogonal amplitude modulation method that uses radio waves effectively and suffers less distortion in a transmission path. .
第1図・第2図は本発明の変復調装置の一実施
例を構成する変調器・復調器を示すブロツク図、
第3図は多値直交振幅変調方式の信号点の配置を
示す説明図、第4図は送信論理変換部の論理変換
の真理値表を示す図面である。
12……送信論理変換部、16……D−A変換
部。
FIG. 1 and FIG. 2 are block diagrams showing a modulator/demodulator constituting an embodiment of the modulation/demodulation device of the present invention;
FIG. 3 is an explanatory diagram showing the arrangement of signal points of the multilevel orthogonal amplitude modulation method, and FIG. 4 is a diagram showing the truth table of logic conversion by the transmission logic conversion section. 12... Transmission logic converter, 16... DA converter.
Claims (1)
進符号である第一の入力p信号および入力q信号
を信号平面上で互いに直交するp軸およびq軸の
方向の2n個の座標の一つにそれぞれ対応させる正
方状多値直交振幅変調方式の信号点の一部の位置
を変更して、信号点群の最外側点を円形に近く配
置した円状多値交振幅変調方式を用いる変調器と
復調器とを具備する変復調装置において、 前記変調器は、前記第一の入力p信号およびq
信号に対応する前記正方状多値直交振幅変調方式
の信号点の位置が前記円状多値直交振幅変調方式
において前記変更を要するか要しないかを判別し
て第一の判別結果を出力し前記変更を要するとき
は符号が変更される桁の前記第一の入力p信号お
よび入力q信号の符号からなる第二の入力p信号
および入力q信号を論理変換して前記第二の入力
p信号および入力q信号とそれぞれが同じ桁数の
2進符号である第三の入力p信号および入力q信
号とそれぞれがすくなくとも1桁の2進符号であ
る第四の入力p信号および入力q信号とを出力す
る送信論理変換部と、前記送信論理変換部の前記
第一の判別結果にもとづき前記第二の入力p信号
および入力q信号または前記第三の入力p信号お
よび入力q信号のいずれかを選択して出力する送
信径路選択部と、前記変更のいずれによつても符
号が変更しない桁の前記第一の入力p信号または
入力q信号の符号からなる第五の入力p信号と前
記送信径路選択部の出力である前記第二もしくは
前記第三の入力p信号または入力q信号と前記第
四の入力p信号または入力q信号とを入力し2n個
をこえる個数の値の一つをとる多値信号Pまたは
多値信号Qを出力する2個のD−A変換部と前記
多値信号Pおよび多値信号Qを入力し直交振幅変
調波を出力する直交変調回路とを備え、前記復調
部は、前記直交振幅変調波を入力し前記多値信号
Pおよび多値信号Qを出力する直交検波回路と前
記多値信号Pまたは多値信号Qを入力し前記第五
の入力p信号または入力q信号に対応する第一の
出力p信号または出力q信号と前記第二もしくは
前記第三の入力p信号または入力q信号に対応す
る第二の出力p信号または出力q信号と前記第四
の入力p信号または入力q信号に対応する第三の
出力p信号または出力q信号とを出力する2個の
A−D変換部と、前記第二の出力p信号および出
力q信号と前記第三の出力p信号および出力q信
号とを少なくとも入力しそれら信号に応じて第二
の判別結果を出力し、かつ前記第二の出力p信号
および出力q信号ならびに前記第三の出力p信号
および出力q信号を論理変換して前記第二の出力
p信号および出力q信号とそれぞれが同じ桁数の
2進符号である第四の出力p信号および出力q信
号を出力する受信論理変換部と、前記受信論理変
換部の前記第二の判別結果にもとづき前記第二の
出力p信号および出力q信号または前記第四の出
力p信号および出力q信号のいずれかを選択して
出力する受信径路選択部とを備えることを特徴と
する変復調装置。[Claims] 1 2 each having n digits (n is a natural number of 3 or more)
A square multi-level orthogonal amplitude modulation method in which a first input p signal and an input q signal, which are binary codes, are respectively made to correspond to one of 2n coordinates in the p-axis and q-axis directions that are orthogonal to each other on the signal plane. In a modulation/demodulation device comprising a modulator and a demodulator using a circular multilevel cross-amplitude modulation method in which the positions of some of the signal points are changed and the outermost points of the signal point group are arranged close to a circle, The modulator is configured to receive the first input p signal and the q
determining whether the position of the signal point of the square multi-value quadrature amplitude modulation method corresponding to the signal requires the change in the circular multi-value quadrature amplitude modulation method and outputting a first determination result; When a change is required, the second input p signal and input q signal consisting of the signs of the first input p signal and input q signal of the digit whose sign is changed are logically converted to the second input p signal and the input q signal. outputting a third input p signal and an input q signal, each of which is a binary code of the same number of digits as the input q signal, and a fourth input p signal and an input q signal, each of which is a binary code of at least one digit; a transmission logic conversion unit that selects either the second input p signal and input q signal or the third input p signal and input q signal based on the first determination result of the transmission logic conversion unit; a fifth input p signal consisting of the sign of the first input p signal or input q signal whose sign is not changed by any of the changes; and the transmission path selection section. A multi-value signal inputting the second or third input p signal or input q signal which is the output of The demodulator includes two D-A converters that output a signal P or a multi-value signal Q, and an orthogonal modulation circuit that receives the multi-value signal P and the multi-value signal Q and outputs a quadrature amplitude modulated wave. , a quadrature detection circuit which inputs the orthogonal amplitude modulated wave and outputs the multi-value signal P and the multi-value signal Q; and a quadrature detection circuit which inputs the multi-value signal P or the multi-value signal Q and outputs the fifth input p signal or the input q signal. a first output p signal or output q signal corresponding to the first output p signal or output q signal; a second output p signal or output q signal corresponding to the second or third input p signal or input q signal; and the fourth input p signal. or two A-D converters that output a third output p signal or an output q signal corresponding to the input q signal, and the second output p signal and the output q signal, and the third output p signal. and an output q signal, outputs a second discrimination result according to these signals, and logically converts the second output p signal and output q signal and the third output p signal and output q signal. a reception logic converter for outputting a fourth output p signal and an output q signal, each of which is a binary code having the same number of digits as the second output p signal and output q signal; and a reception path selection section that selects and outputs either the second output p signal and output q signal or the fourth output p signal and output q signal based on the second determination result. modem and modem.
Priority Applications (10)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP59233825A JPS61112458A (en) | 1984-11-06 | 1984-11-06 | Modulator-demodulator |
| US06/794,662 US4750191A (en) | 1984-11-06 | 1985-11-04 | D/A converter capable of producing an analog signal having levels of a preselected number different from 2N and communication network comprising the D/A converter |
| CA000494589A CA1282494C (en) | 1984-11-06 | 1985-11-05 | D/a converter capable of producing an analog signal having levels of a preselected number different from 2 and communication network comprising the d/a converter |
| AU49365/85A AU588162B2 (en) | 1984-11-06 | 1985-11-05 | D/A converter capable of producing an analog signal having levels of a preselected number different from 2N and communication network comprising the D/A converter |
| EP93119447A EP0588387B1 (en) | 1984-11-06 | 1985-11-06 | D/A converter capable of producing an analog signal having levels of a preselected number different from 2**N and communication network comprising the D/A converter |
| BR8505564A BR8505564A (en) | 1984-11-06 | 1985-11-06 | DIGITAL-ANALOG CONVERTER, MODULATOR AND DEMODULATOR |
| DE3588002T DE3588002T2 (en) | 1984-11-06 | 1985-11-06 | QAM modulator and demodulator. |
| DE3588126T DE3588126T2 (en) | 1984-11-06 | 1985-11-06 | D / A converter capable of generating an analog signal with a preselected level number different from 2N, and a communication network provided with such a D / A converter |
| EP85114133A EP0186757B1 (en) | 1984-11-06 | 1985-11-06 | QAM modulator and demodulator |
| CN85108891A CN1007951B (en) | 1984-11-06 | 1985-11-06 | D/a converter capable of producing an analog signal having levels of a preselected number different from 2 to the power n and communication network comprising the d/a converter |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP59233825A JPS61112458A (en) | 1984-11-06 | 1984-11-06 | Modulator-demodulator |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS61112458A JPS61112458A (en) | 1986-05-30 |
| JPH0234551B2 true JPH0234551B2 (en) | 1990-08-03 |
Family
ID=16961149
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP59233825A Granted JPS61112458A (en) | 1984-11-06 | 1984-11-06 | Modulator-demodulator |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS61112458A (en) |
-
1984
- 1984-11-06 JP JP59233825A patent/JPS61112458A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS61112458A (en) | 1986-05-30 |
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|---|---|---|---|
| LAPS | Cancellation because of no payment of annual fees |