JPS6120196B2 - - Google Patents
Info
- Publication number
- JPS6120196B2 JPS6120196B2 JP52025729A JP2572977A JPS6120196B2 JP S6120196 B2 JPS6120196 B2 JP S6120196B2 JP 52025729 A JP52025729 A JP 52025729A JP 2572977 A JP2572977 A JP 2572977A JP S6120196 B2 JPS6120196 B2 JP S6120196B2
- Authority
- JP
- Japan
- Prior art keywords
- cosω
- frequency
- multiplier
- signal
- frequency signal
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
- 238000000926 separation method Methods 0.000 description 4
- 238000010586 diagram Methods 0.000 description 3
- 238000005070 sampling Methods 0.000 description 3
- 239000011159 matrix material Substances 0.000 description 2
- 238000000034 method Methods 0.000 description 1
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04Q—SELECTING
- H04Q1/00—Details of selecting apparatus or arrangements
- H04Q1/18—Electrical details
- H04Q1/30—Signalling arrangements; Manipulation of signalling currents
- H04Q1/44—Signalling arrangements; Manipulation of signalling currents using alternate current
- H04Q1/444—Signalling arrangements; Manipulation of signalling currents using alternate current with voice-band signalling frequencies
- H04Q1/45—Signalling arrangements; Manipulation of signalling currents using alternate current with voice-band signalling frequencies using multi-frequency signalling
- H04Q1/453—Signalling arrangements; Manipulation of signalling currents using alternate current with voice-band signalling frequencies using multi-frequency signalling in which m-out-of-n signalling frequencies are transmitted
Landscapes
- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
Description
【発明の詳細な説明】
本発明は2周波で1個の状態を表わす2周波信
号を受信しこの受信信号の表わす状態を判定する
多周波信号受信方式に関する。DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a multi-frequency signal receiving system that receives a two-frequency signal representing one state with two frequencies and determines the state represented by the received signal.
従来の押しボタン電話器と電話局との間で行な
われている多周波信号受信方式は、第1図に示す
ように、入力された2周波信号を分離フイルタ1
で高群および低群に分離した後、これらの信号を
予め定められた帯域幅を有する帯域通過波器2
およびレベル検出器3に通して所定の周波数を検
出するとともにレベル検出し、その出力により行
列回路4にて状態を判定している。しかしながら
この方式は各周波数に対応した帯域通過波器2
を必要とするため多周波信号受信器の構成が大型
化する欠点がある。 In the conventional multi-frequency signal reception system used between push-button telephones and telephone offices, the input two-frequency signal is passed through a separation filter 1, as shown in FIG.
After separating these signals into a high group and a low group at
A predetermined frequency and a level are detected through a level detector 3, and the state is determined by a matrix circuit 4 based on the output. However, this method uses two bandpass wavers corresponding to each frequency.
This has the disadvantage of increasing the size of the multifrequency signal receiver.
一方、電話局間に用いられる第2図に示すよう
な多周波信号受信方式は、第1図の分離フイルタ
を用いない点を除くと、第1図の構成と同じ構成
を有するため、やはり受信器が大型化してしま
う。 On the other hand, the multi-frequency signal reception system used between telephone offices as shown in Figure 2 has the same configuration as that shown in Figure 1, except that the separation filter shown in Figure 1 is not used, so it is still possible to receive The container becomes large.
本発明の目的はフイルタを用いないで周波数を
検出することにより、回路を簡単にできる多周波
信号受信装置を提供することにある。 An object of the present invention is to provide a multi-frequency signal receiving device whose circuit can be simplified by detecting frequencies without using a filter.
まず、本発明の基本原理について述べる。角周
波数ω1とω2から成る多周波信号は一般に次の
ように表される。 First, the basic principle of the present invention will be described. A multifrequency signal consisting of angular frequencies ω 1 and ω 2 is generally expressed as follows.
V(t)=A1cos(ω1t+1)
+A2cos(ω2t+2)+C……(1)
ただし、A1およびA2はそれぞれの周波数成分
の振幅値、ω1およびω2は角周波数、1およ
び2は位相、Cは直流分である。 V(t)=A 1 cos (ω 1 t+ 1 ) +A 2 cos (ω 2 t+ 2 )+C……(1) However, A 1 and A 2 are the amplitude values of the respective frequency components, ω 1 and ω 2 is the angular frequency, 1 and 2 are the phases, and C is the DC component.
本発明はV(t)を時間軸上で等間隔に標本化
して得られる標本値の間の従属関係を利用し、標
本値を用いた四則演算のみで受信された周波数を
検出するものである。 The present invention utilizes the dependency relationship between the sample values obtained by sampling V(t) at equal intervals on the time axis, and detects the received frequency using only four arithmetic operations using the sample values. .
γを任意の時間とし、Tを標本化定理を満たす
標本間隔とする。Kを任意の正数として、V
(t)から標本値V(γ)〜V(γ+8KT)を求
める。次に、この標本値を用いて次式によりβ1
〜β4を計算する。 Let γ be an arbitrary time and T be a sampling interval that satisfies the sampling theorem. Let K be any positive number, V
Obtain sample values V(γ) to V(γ+8KT) from (t). Next, using this sample value, β 1
~ Calculate β4 .
β1=V(γ+5KT)−V(γ+3KT) ……(2)
β2={V(γ+6KT)
−V(γ+2KT)}/2 ……(3)
β3={V(γ+7KT)−V(γ+KT)
+β1}/4 ……(4)
β4={V(γ+8KT)
−V(γ)}/8+β2/2 ……(5)
上式に式(1)のV(t)を代入し、三角関数の公
式を適応することにより、次の連立方程式が得ら
れる。 β 1 = V (γ + 5KT) - V (γ + 3KT) ... (2) β 2 = {V (γ + 6KT) - V (γ + 2KT)} / 2 ... (3) β 3 = {V (γ + 7KT) - V (γ + KT ) +β 1 } / 4 ... (4) β 4 = {V (γ + 8KT) −V (γ)} / 8 + β 2 / 2 ... (5) Substitute V (t) of equation (1) into the above equation , by applying the trigonometric formula, the following simultaneous equations are obtained.
β2α1−β1α2=β3 ……(6)
β2α1−β2α2=β4 ……(7)
ここで
α1=COSω1KT+COSω2KT ……(8)
α2=COSω1KT×COSω2KT ……(9)
である
この方程式により、α1とα2はβ1〜β4の
四則演算により、次のように計算できる。 β 2 α 1 −β 1 α 2 =β 3 ...(6) β 2 α 1 -β 2 α 2 =β 4 ...(7) Here, α 1 = COSω 1 KT+COSω 2 KT ...(8) α 2 = COSω 1 KT×COSω 2 KT (9) Based on this equation, α 1 and α 2 can be calculated as follows using the four arithmetic operations β 1 to β 4 .
α1=N1/D ……(10)
α2=N2/D ……(11)
ただし
D=β2 2+β1β3 ……(12)
N1=−β2β3+β1β4 ……(13)
N2=β2β4−β2 3 ……(14)
一方、式(8)、(9)のα1とα2の組合せはω1と
ω2の組合わせに1対1対応している。従つて、
(α1、α2)を判別することにより、(ω1、ω
2)を求めることができる。 α 1 = N 1 /D …(10) α 2 = N 2 /D …(11) However, D = β 2 2 + β 1 β 3 …(12) N 1 = −β 2 β 3 + β 1 β 4 ... (13) N 2 = β 2 β 4 - β 2 3 ... (14) On the other hand, the combination of α 1 and α 2 in equations (8) and (9) becomes the combination of ω 1 and ω 2 . There is a one-to-one correspondence. Therefore,
By determining (α 1 , α 2 ), (ω 1 , ω
2 ) can be obtained.
本発明はα1とα2をパラメータとして選択す
ることにより、受信信号の標本値から四則演算の
みにより2個の周波数の組合せを判別するもので
ある。 In the present invention, by selecting α 1 and α 2 as parameters, a combination of two frequencies is determined from sample values of a received signal using only four arithmetic operations.
次に上述の原理に基づく本発明の一実施例を第
3図に示す。まず、T(秒)周期で開閉するスイ
ツチ61により受信2周波数信号V(t)が周期
KT(K=1)で標本化され、それぞれT(秒)
の遅延時間を有し直列接続された複数の遅延器6
2の出力としてそれぞれ
V(γ+iT)(i=0、1、……8)が得られ
る。 Next, an embodiment of the present invention based on the above-mentioned principle is shown in FIG. First, a switch 61 that opens and closes at a cycle of T (seconds) causes the received two-frequency signal V(t) to
sampled at KT (K=1), each in T (seconds)
A plurality of delay devices 6 connected in series have a delay time of
V(γ+iT) (i=0, 1, . . . 8) is obtained as the output of 2, respectively.
さらに、信号線101〜104にはそれぞれ式
(2)〜(5)に基づくβ1〜β4が得られる。ここで、
参照数字63は加算器、同数字61は1/2掛算
器、同数字66は1/4掛算器、同数字61は1/8掛
算器である。さらに、信号線105、106およ
び107にはそれぞれ式(12)、(13)および(14)
に基づくD、N1およびN2が得られる。ここで、
同数字64は乗算器である。さらに、信号線10
8および109にはそれぞれ式(10)および(11)に基づ
くα1およびα2が得られる。ここで、同数字6
8は割算器である。信号線108および109は
回路7に接続されている。回路7は例えばマイク
ロプロセツサ等のプログラム制御型デバイスによ
り構成できる。 Furthermore, the signal lines 101 to 104 each have a formula
β 1 to β 4 based on (2) to (5) are obtained. here,
Reference numeral 63 is an adder, reference numeral 61 is a 1/2 multiplier, reference numeral 66 is a 1/4 multiplier, and reference numeral 61 is a 1/8 multiplier. Furthermore, equations (12), (13) and (14) are applied to signal lines 105, 106 and 107, respectively.
Based on D, N 1 and N 2 are obtained. here,
The same number 64 is a multiplier. Furthermore, the signal line 10
8 and 109, α 1 and α 2 are obtained based on equations (10) and (11), respectively. Here, the same number 6
8 is a divider. Signal lines 108 and 109 are connected to circuit 7. The circuit 7 can be configured by a program-controlled device such as a microprocessor.
この回路7は、信号線108および109から
得られるα1とα2の組合わせから対応するω1
とω2の組合わせを決定する。このようにして2
周波信号の状態を判定できる。 This circuit 7 calculates the corresponding ω 1 from the combination of α 1 and α 2 obtained from the signal lines 108 and 109.
The combination of and ω 2 is determined. In this way 2
Can determine the state of a frequency signal.
以上のように、本発明の多周波信号受信装置を
用いると、帯域フイルタや分離フイルタが不必要
となるため受信器の小型化が達成できる。 As described above, when the multi-frequency signal receiving device of the present invention is used, a bandpass filter and a separation filter are no longer necessary, so that the receiver can be miniaturized.
第1図は従来の押しボタン電話器からの多周波
信号を受信するための受信器のブロツク図、第2
図は従来の電話局間の多周波信号を受信するため
の受信器のブロツク図および第3図は本発明の一
実施例を説明するための図である。
図において、1……分離フイルタ、2……帯域
通過波器、3……レベル検出器、4……行列回
路、7……回路、61……スイツチ、62……遅
延器、63……加算器、64……乗算器、65…
…1/2掛算器、66……1/4掛算器、67……1/8
掛算器、68……割算器、101〜109……信
号線。
FIG. 1 is a block diagram of a receiver for receiving multi-frequency signals from a conventional push-button telephone;
1 is a block diagram of a conventional receiver for receiving multi-frequency signals between telephone offices, and FIG. 3 is a diagram for explaining an embodiment of the present invention. In the figure, 1...separation filter, 2...band pass wave generator, 3...level detector, 4...matrix circuit, 7...circuit, 61...switch, 62...delay device, 63...addition Device, 64... Multiplier, 65...
...1/2 multiplier, 66...1/4 multiplier, 67...1/8
Multiplier, 68...Divider, 101-109...Signal line.
Claims (1)
ω2を有する2個の正弦波および雑音n(t)の
和として次のように表わされる信号V(t) V(t)=A1cos(ω1t+1) +A2cos(ω2t+2)+n(t) の複数個のサンプル値V(γ)ないしV(γ+
8KT)を得る手段と、この複数のサンプル値か
ら次式で与えられるβ1ないしβ4を得る手段と β1=V(γ+5KT)−V(γ+3KT) β2={V(γ+6KT) −V(γ+2KT)}/2 β3={V(γ+7KT) −V(γ+KT)+β1}/4 β4={V(γ+8KT) −V(γ)}/8+β2/2 このβ1ないしβ4から次式で与えられるD,
N1およびN2を計算する手段と、 D=β2 2+β1β3 N1=−β2β3+β1β4 N2=β2β4−β3 2 このN1およびN2をそれぞれDにより除算する
ことにより次式で与えられるα1およびα2に対
応する値を計算する手段と α1=cosω1KT+cosω2KT α2=cosω1KT×cosω2KT このα1およびα2に対応する値からω1とω
2との組合せを判定する手段とから構成したこと
を特徴とする多周波信号受信装置。[Claims] A signal V ( t ) V( A plurality of sample values V( γ ) or V(γ +
8KT), a means for obtaining β 1 to β 4 given by the following formula from the plurality of sample values, and β 1 = V (γ + 5KT) - V (γ + 3KT) β 2 = {V (γ + 6KT) - V ( γ+2KT)}/2 β 3 = {V(γ+7KT) −V(γ+KT)+β 1 }/4 β 4 = {V(γ+8KT) −V(γ)}/8+β 2 /2 From this β 1 to β 4 D given by the formula,
A means for calculating N 1 and N 2 and _ _ _ _ _ _ _ _ Means for calculating values corresponding to α 1 and α 2 given by the following equations by dividing by D respectively, and α 1 = cosω 1 KT + cosω 2 KT α 2 = cosω 1 KT×cosω 2 KT From the values corresponding to ω 1 and ω
2. A multi-frequency signal receiving device characterized by comprising: means for determining a combination with 2 .
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP2572977A JPS53110309A (en) | 1977-03-08 | 1977-03-08 | Multi-frequency signal receiving system |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP2572977A JPS53110309A (en) | 1977-03-08 | 1977-03-08 | Multi-frequency signal receiving system |
Publications (2)
Publication Number | Publication Date |
---|---|
JPS53110309A JPS53110309A (en) | 1978-09-27 |
JPS6120196B2 true JPS6120196B2 (en) | 1986-05-21 |
Family
ID=12173883
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
JP2572977A Granted JPS53110309A (en) | 1977-03-08 | 1977-03-08 | Multi-frequency signal receiving system |
Country Status (1)
Country | Link |
---|---|
JP (1) | JPS53110309A (en) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2019151171A1 (en) | 2018-01-30 | 2019-08-08 | 大日本印刷株式会社 | Liquid crystal light control apparatus and method for manufacturing same |
-
1977
- 1977-03-08 JP JP2572977A patent/JPS53110309A/en active Granted
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2019151171A1 (en) | 2018-01-30 | 2019-08-08 | 大日本印刷株式会社 | Liquid crystal light control apparatus and method for manufacturing same |
KR20200111701A (en) | 2018-01-30 | 2020-09-29 | 다이니폰 인사츠 가부시키가이샤 | Liquid crystal dimming device and its manufacturing method |
Also Published As
Publication number | Publication date |
---|---|
JPS53110309A (en) | 1978-09-27 |
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