JPH0549122B2 - - Google Patents
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- Publication number
- JPH0549122B2 JPH0549122B2 JP61258125A JP25812586A JPH0549122B2 JP H0549122 B2 JPH0549122 B2 JP H0549122B2 JP 61258125 A JP61258125 A JP 61258125A JP 25812586 A JP25812586 A JP 25812586A JP H0549122 B2 JPH0549122 B2 JP H0549122B2
- Authority
- JP
- Japan
- Prior art keywords
- phase
- signal
- phase difference
- signals
- trigonometric function
- Prior art date
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- Expired - Lifetime
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- Measuring Phase Differences (AREA)
- Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
Description
【発明の詳細な説明】
〔産業上の利用分野〕
本発明は一般計測機器、レーダーなどにおける
同一周波数の複数個の入力される正弦波または余
弦波の信号(この発明においては三角関数信号と
いう)の位相差を検出する信号位相差検出装置に
関する。[Detailed Description of the Invention] [Industrial Application Field] The present invention is applicable to general measuring instruments, radars, etc., in which multiple input sine wave or cosine wave signals (referred to as trigonometric function signals in the present invention) have the same frequency. The present invention relates to a signal phase difference detection device that detects a phase difference between.
一般計測機器における信号位相測定、あるいは
位相差を検出する方向探知機またはレーダーなど
でアンテナ素子に受信した信号の位相変化または
信号間の位相差検出など、位相値または位相差を
測定する場合、種々の方法が周知である。アナロ
グ的方法としては、2信号の乗積から求めたり、
あるいはデイジタル的方法として、一定のしきい
値で方形波に変換し、位相比較器で方形波の位相
差を検出するなどしている。
There are various ways to measure phase values or phase differences, such as signal phase measurement in general measuring equipment, or detection of phase changes in signals received by antenna elements or phase differences between signals in direction finders or radars that detect phase differences. This method is well known. Analog methods include finding it from the product of two signals,
Alternatively, as a digital method, the signal is converted into a square wave using a certain threshold value, and the phase difference between the square waves is detected using a phase comparator.
上記の位相差測定方法は、瞬時的に位相差を検
出するものでなく、信号の数波について平均して
位相差を検出するものである。このため、このよ
うな位相差測定方法を違法電波の方向探知などに
応用する場合、極く短い期間だけ間歇的に発射さ
れるような違法電波については位相差の測定がで
きなくなるという問題がある。また2信号の位相
差を直接に測定する位相比較器はその位相差が±
180°をこえると、進み遅れの判別が必要で、その
判別回路を付加する必要がある。
The above phase difference measuring method does not detect the phase difference instantaneously, but averages the phase difference over several waves of signals. Therefore, when applying this phase difference measurement method to detect the direction of illegal radio waves, there is a problem that it becomes impossible to measure the phase difference for illegal radio waves that are emitted intermittently for a very short period of time. . In addition, a phase comparator that directly measures the phase difference between two signals has a phase difference of ±
When the angle exceeds 180°, it is necessary to distinguish between lead and lag, and it is necessary to add a circuit for this discrimination.
本発明の目的は、上記問題点を除去して、瞬時
的な位相差を検出することのできる信号位相差検
出装置を提供することにある。本発明の対象とす
る三角関数信号は、数学的に規定された特性を有
するので、その特性を利用して簡単な位相差検出
方法を得ようとするものである。 SUMMARY OF THE INVENTION An object of the present invention is to eliminate the above-mentioned problems and provide a signal phase difference detection device that can detect instantaneous phase differences. Since trigonometric function signals, which are the subject of the present invention, have mathematically defined characteristics, it is an object of the present invention to utilize these characteristics to obtain a simple phase difference detection method.
本発明の信号位相差検出装置は、複数個の同一
周波数の入力三角関数信号をそれぞれπ/2だけ
遅延する手段と、前記入力三角関数信号およびそ
の遅延信号を、少なくとも1つの特定時点で同時
にサンプリングする手段と、前記サンプリング値
をA/D変換する手段と、各入力三角関数信号に
つき前記特定時点のサンプリング値と、その遅延
信号のサンプリング値との比から、位相角を演算
する手段と、算出された位相角から各入力三角関
数信号の位相差を検出する手段とを有するもので
ある。
The signal phase difference detection device of the present invention includes means for delaying a plurality of input trigonometric function signals having the same frequency by π/2, and sampling the input trigonometric function signals and their delayed signals simultaneously at at least one specific point in time. means for A/D converting the sampled value; means for calculating a phase angle from the ratio of the sampled value at the specific time point and the sampled value of the delayed signal for each input trigonometric function signal; and means for detecting the phase difference of each input trigonometric function signal from the determined phase angle.
三角関数信号は、±π/2の位相差により正弦
波信号と余弦波信号とが相互に変換する。そこ
で、第2図に示すように、入力が正弦波信号S(t)
=Esin(wt+α)として、この信号とこの信号を
π/2遅延回路3で遅延した信号とをサンプル・
ホールド回路1,2で特定のtN時点でサンプリン
グパルス100によりサンプリングすると、前者
からS(tN)=Esin(wtN+α)、後者からC(tN)=
Esin(wtN+α+π/2)=Ecos(wtN+α)の値が
得られる。したがつて、tN時点における入力三角
関数信号の位相角θ(tN)(=wtN+α)は次式で
与えられる。
The trigonometric function signal is mutually converted into a sine wave signal and a cosine wave signal due to a phase difference of ±π/2. Therefore, as shown in Figure 2, the input is a sine wave signal S(t)
=Esin(wt+α), sample this signal and the signal delayed by the π/2 delay circuit 3.
When sampled by the sampling pulse 100 at a specific time point t N in hold circuits 1 and 2, S(t N )=Esin(wt N +α) from the former, and C(t N )= from the latter.
The value Esin (wt N + α + π/2) = Ecos (wt N + α) is obtained. Therefore, the phase angle θ(t N ) (=wt N +α) of the input trigonometric function signal at time t N is given by the following equation.
θ(tN)=tan-1〔S(tN)/C(tN)〕
S(tN)/C(tN)の極性が正であれば、θ(tN)
は極座標系内の第1象限内と第3象限内のそれぞ
れに一つずつ定まり、S(tN)/C(tN)の極性が
負であればθ(tN)は第2象限内と第4象限内の
それぞれに一つずつ定まる。θ(tN)がいずれの
象限内に存在するかは、S(tN)とC(tN)の個々
の極性の組合せから決定できる。 θ(t N )=tan -1 [S(t N )/C(t N )] If the polarity of S(t N )/C(t N ) is positive, θ(t N )
is determined in each of the first and third quadrants in the polar coordinate system, and if the polarity of S(t N )/C(t N ) is negative, θ(t N ) is in the second quadrant. and one in each of the fourth quadrants. In which quadrant θ(t N ) exists can be determined from the individual polarity combinations of S(t N ) and C(t N ).
すなわち、S(tN)とC(tN)の極性がいずれも
正であれば、θ(tN)は第1象限内に存在するこ
とになり、S(tN)とC(tN)の極性がいずれも負
であれば、θ(tN)は第3象限内に存在すること
になる。また、S(tN)の極性が正でC(tN)の極
性が負であれば、θ(tN)は第2象限内に存在す
ることになり、S(tN)の極性が負でC(tN)の極
性が正であれば、θ(tN)は第4象限内に存在す
ることになる。 That is, if the polarities of S(t N ) and C(t N ) are both positive, θ(t N ) exists within the first quadrant, and S(t N ) and C(t N ) are all negative in polarity, θ(t N ) exists within the third quadrant. Also, if the polarity of S(t N ) is positive and the polarity of C(t N ) is negative, θ(t N ) exists in the second quadrant, and the polarity of S(t N ) is If it is negative and the polarity of C(t N ) is positive, θ(t N ) will be in the fourth quadrant.
このように1つの正弦波信号の瞬時の位相角が
求まるので、2つの正弦波信号S1(t)=E1sin(wt
+α1)、S2(t)=E2sin(wt+α2)の位相差(α1−
α2)は、この2つの正弦波信号につき、同時点に
おける瞬時の位相角θ1(tN)およびθ2(tN)を求め、
その差をとることで求めることができる。この方
法ではtN時点の信号測定値から(α1−α2)を求め
ているが、(α1−α2)自体は時点に関係なく、波
形の位相差である。 In this way, the instantaneous phase angle of one sine wave signal is found, so the two sine wave signals S 1 (t) = E 1 sin (wt
+α 1 ), S 2 (t)=E 2 sin (wt+α 2 ) phase difference (α 1 −
α 2 ) calculates the instantaneous phase angles θ 1 (t N ) and θ 2 (t N ) at the same time for these two sine wave signals,
It can be determined by taking the difference. In this method, (α 1 −α 2 ) is obtained from the signal measurement value at time t N , but (α 1 − α 2 ) itself is the phase difference of the waveform regardless of the time.
以下、本発明の一実施例につき、図面を参照し
て説明する。第1図は実施例として、2信号間の
位相差検出装置の回路ブロツク図である。2信号
のうち、E1sin(wt+α1)で表わされる信号S1(t)
102が直接にサンプル・ホールド回路10に入
力するとともに、π/2遅延回路14を経た信号
102′がサンプル・ホールド回路11に入力す
る。同様に、2信号のうちE2sin(wt+α2)ので
表わされる信号S2(t)103が、直接にサンプル・
ホールド回路12に、およびπ/2遅延回路15
を経た信号103′がサンプル・ホールド回路1
3に入力する。上記信号102′,103′はそれ
ぞれ−E1cos(wt+α1)、−E2cos(wt+α2)であ
る。
Hereinafter, one embodiment of the present invention will be described with reference to the drawings. FIG. 1 is a circuit block diagram of an apparatus for detecting a phase difference between two signals as an embodiment. Of the two signals, the signal S 1 (t) expressed by E 1 sin (wt + α 1 )
The signal 102 is directly input to the sample and hold circuit 10, and the signal 102' which has passed through the π/2 delay circuit 14 is input to the sample and hold circuit 11. Similarly, among the two signals, the signal S 2 (t) 103 expressed as E 2 sin (wt + α 2 ) is directly sampled.
to the hold circuit 12 and the π/2 delay circuit 15
The signal 103' that has passed through is sent to the sample and hold circuit 1.
Enter 3. The signals 102' and 103' are −E 1 cos (wt+α 1 ) and −E 2 cos (wt+α 2 ), respectively.
上記サンプル・ホールド回路10〜13は、サ
ンプリングパルス101により同時的にtN時点で
サンプリングする。A/D変換器16〜19は、
各サンプル・ホールド回路10〜13の出力10
a,11a,12a,13aをそれぞれA/D変
換器16〜19によりデイジタル値に変換する。
A/D変換器は、極性つきのA/D変換器または
オフセツトバイナリA/D変換器を用い、正負の
符号を保持しておく。後記の演算処理器20は、
上記の極性つきのA/D変換器のときは極性によ
り、オフセツトバイナリA/D変換器のときは符
号ビツトの符号判断により象限決定をする。 The sample and hold circuits 10 to 13 sample simultaneously at time tN using the sampling pulse 101. The A/D converters 16 to 19 are
Output 10 of each sample and hold circuit 10 to 13
a, 11a, 12a, and 13a are converted into digital values by A/D converters 16 to 19, respectively.
As the A/D converter, a polarized A/D converter or an offset binary A/D converter is used, and the positive and negative signs are maintained. The arithmetic processor 20 described below is
In the case of the above-mentioned polarized A/D converter, the quadrant is determined by the polarity, and in the case of the offset binary A/D converter, the quadrant is determined by determining the sign of the sign bit.
A/D変換器16〜19の出力は、それぞれS1
(tN)、C1(tN)、S2(tN)、C2(tN)となる。演算処
理
器20は、上記信号を入力し、S1(tN)、C1(tN)
から入力信号S1(t)のtN時点における位相角θ1(tN)
およびS2(tN)、C2(tN)から入力信号S2(t)のtN時
点における位相角θ2(tN)を演算し、さらに〔θ1
(tN)−θ2(tN)〕を演算し信号S2(t)、S1(t)の位相
差
(α1−α2)を検出することができる。 The outputs of the A/D converters 16 to 19 are each S 1
(t N ), C 1 (t N ), S 2 (t N ), and C 2 (t N ). The arithmetic processor 20 inputs the above signals and calculates S 1 (t N ), C 1 (t N )
The phase angle θ 1 (t N ) of the input signal S 1 (t) at time t N from
Then, calculate the phase angle θ 2 (t N ) of the input signal S 2 (t) at time t N from S 2 (t N ) and C 2 (t N ), and further calculate [θ 1
(t N )−θ 2 (t N )], and the phase difference (α 1 −α 2 ) between the signals S 2 (t) and S 1 (t) can be detected.
以上の説明は、2信号の位相差を求める場合で
あるが、2信号以上の場合も、1信号を規準とし
て各信号の位相差を求めれば、全信号の位相関係
を求めることができる。 The above explanation is about finding the phase difference between two signals, but even in the case of two or more signals, if the phase difference between each signal is found using one signal as a reference, the phase relationship of all the signals can be found.
変形実施例
(1) 第1図に示す実施例では、2信号間の位相差
測定のために4個のA/D変換器を備えるよう
にしている。サンプリングは一周期中の1回だ
けサンプリングして、周期ごとに位相差を測定
する場合が実用上多い。この場合、周波数が非
常に高い場合を除き、最近はA/D変換器の変
換レートが高くなつているので、A/D変換器
を1個のみにして時分割動作とすることもでき
る。Modified Embodiment (1) In the embodiment shown in FIG. 1, four A/D converters are provided for measuring the phase difference between two signals. In practice, sampling is often performed only once in one cycle and the phase difference is measured for each cycle. In this case, unless the frequency is very high, the conversion rate of A/D converters has recently become higher, so time-division operation can be performed using only one A/D converter.
(2) 次に、実施例においては、信号間の位相差測
定について説明したが、特別の場合は1信号に
ついてもS1(tN)、C1(tN)から時点tNの位相角
を求めることができる。この場合サンプリング
時点tNが規準になつて、位相を決定できる。(2) Next, in the embodiment, measurement of the phase difference between signals was explained, but in special cases, the phase angle from S 1 (t N ), C 1 (t N ) to time t N can also be measured for one signal. can be found. In this case, the sampling time t N serves as a reference to determine the phase.
なお、π/2遅延回路は、周知のとおり、低周
波の場合は演算増幅器により、高周波の場合は、
格子型移相回路または遅延ケーブル等で実現でき
る。 As is well known, the π/2 delay circuit uses an operational amplifier for low frequencies, and uses an operational amplifier for high frequencies.
This can be realized using a lattice phase shift circuit or a delay cable.
以上、詳しく説明したように、本発明において
は、複数個の三角関数の特定の同一時点の位相角
を演算し、各三角関数の位相角の差を求めること
によつて波形としての瞬時的な位相差を求めるも
のであるから、極く短い出現期間の電波について
も方向探知が可能になる。三角関数の位相角は、
2πの周期の間の任意の点で求めることができる
ので2信号間の位相差も確定的に得られ、従来方
法のように2信号の位相差を位相比較器で求める
場合の±πの不確定性がない。したがつてその
分、回路構成が簡単である。
As explained in detail above, in the present invention, the phase angles of a plurality of trigonometric functions at the same specific point in time are calculated, and the difference between the phase angles of each trigonometric function is calculated to obtain an instantaneous waveform. Since it determines the phase difference, direction detection is possible even for radio waves with an extremely short appearance period. The phase angle of trigonometric functions is
Since the phase difference can be determined at any point during the period of 2π, the phase difference between the two signals can be obtained definitively, and the error of ±π is eliminated when the phase difference between the two signals is determined using a phase comparator as in the conventional method. There is no certainty. Therefore, the circuit configuration is correspondingly simpler.
第1図は本発明の一実施例の回路ブロツク図、
第2図は位相角測定の原理を説明する図である。
10〜13……サンプル・ホールド回路、1
4,15……π/2遅延回路、16〜19……
A/D変換器、20……演算処理器、101……
サンプリングパルス、102,103……入力信
号。
FIG. 1 is a circuit block diagram of an embodiment of the present invention.
FIG. 2 is a diagram explaining the principle of phase angle measurement. 10-13...Sample/hold circuit, 1
4, 15...π/2 delay circuit, 16-19...
A/D converter, 20... Arithmetic processor, 101...
Sampling pulse, 102, 103...input signal.
Claims (1)
ぞれについて位相をπ/2だけずらす位移手段
と、 前記入力三角関数信号のそれぞれについて前記
移相前後の波形を同時にセンプル・ホールドする
サンプル・ホールド手段と、 前記入力三角関数信号のそれぞれについて前記
サンプル・ホールドされた信号をデイジタル信号
に変換するA/D変換手段と、 前記入力三角関数信号のそれぞれについて前記
デイジタル信号の極性及び相互の振幅の比から位
相角を演算し、この位相角の差から前記入力三角
関数信号どうしの位相差を演算する演算手段とを
備えたことを特徴とする信号位相差検出装置。 2 前記A/D変換手段は、前記各入力三角関数
信号について時間をずらしながら共通使用される
ことを特徴とする特許請求の範囲第1項記載の信
号位相差検出装置。[Claims] 1. A phase shifter for shifting the phase of each of a plurality of input trigonometric function signals having the same frequency by π/2, and simultaneously sample-holding the waveforms before and after the phase shift for each of the input trigonometric function signals. sample and hold means; A/D conversion means for converting the sampled and held signal into a digital signal for each of the input trigonometric function signals; 1. A signal phase difference detection device comprising: calculation means for calculating a phase angle from a ratio of amplitudes and calculating a phase difference between the input trigonometric function signals from the difference in phase angles. 2. The signal phase difference detection device according to claim 1, wherein the A/D conversion means is used in common for each of the input trigonometric function signals while shifting the time.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP25812586A JPS63114306A (en) | 1986-10-31 | 1986-10-31 | Detecting method for signal phase difference |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP25812586A JPS63114306A (en) | 1986-10-31 | 1986-10-31 | Detecting method for signal phase difference |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS63114306A JPS63114306A (en) | 1988-05-19 |
| JPH0549122B2 true JPH0549122B2 (en) | 1993-07-23 |
Family
ID=17315854
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP25812586A Granted JPS63114306A (en) | 1986-10-31 | 1986-10-31 | Detecting method for signal phase difference |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS63114306A (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2897795B2 (en) * | 1991-10-31 | 1999-05-31 | 日本電気株式会社 | Sample and hold type phase comparator |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS58201081A (en) * | 1982-05-20 | 1983-11-22 | Mitsubishi Electric Corp | Automatic phase balancing system of radar receiver |
-
1986
- 1986-10-31 JP JP25812586A patent/JPS63114306A/en active Granted
Also Published As
| Publication number | Publication date |
|---|---|
| JPS63114306A (en) | 1988-05-19 |
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