KR970077985A - High-pass IIR filter design method and high pass IIR filter - Google Patents

High-pass IIR filter design method and high pass IIR filter Download PDF

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Publication number
KR970077985A
KR970077985A KR1019960017472A KR19960017472A KR970077985A KR 970077985 A KR970077985 A KR 970077985A KR 1019960017472 A KR1019960017472 A KR 1019960017472A KR 19960017472 A KR19960017472 A KR 19960017472A KR 970077985 A KR970077985 A KR 970077985A
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output
adder
shifter
delay
delay unit
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KR0176205B1 (en
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이제석
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김광호
삼성전자 주식회사
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    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00Networks using digital techniques
    • H03H17/02Frequency selective networks
    • H03H17/0223Computation saving measures; Accelerating measures
    • H03H17/0227Measures concerning the coefficients
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00Networks using digital techniques
    • H03H17/02Frequency selective networks
    • H03H17/0223Computation saving measures; Accelerating measures
    • H03H17/0225Measures concerning the multipliers
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00Networks using digital techniques
    • H03H17/02Frequency selective networks
    • H03H17/0223Computation saving measures; Accelerating measures
    • H03H17/0238Measures concerning the arithmetic used
    • H03H17/0241Distributed arithmetic
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00Networks using digital techniques
    • H03H2017/0072Theoretical filter design
    • H03H2017/009Theoretical filter design of IIR filters

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  • Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Theoretical Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Computer Hardware Design (AREA)
  • Mathematical Physics (AREA)
  • Filters That Use Time-Delay Elements (AREA)
  • Picture Signal Circuits (AREA)

Abstract

본 발명은 고역통과 IIR 필터의 설계 방법 및 이에 적합한 고역통과 IIR 필터를 개시한다. 본 발명의 장치는 디지탈 신호 x(n)를 입력받아 소정시간 지연시키는 지연기(21)와, 지연기(21)의 출력을 MSB 측으로 1비트 시프트하는 시프터(22)와, 지연기(21)의 출력을 소정시간 지연시키는 지연기(23)와, 디지탈 신호 y(n)을 입력받아 소정시간 지연시키는 지연기(24)와, 지연기(24)의 출력을 MSB 측으로 2비트 시프트하는 시프터(25)와, 지연기(24)의 출력을 소정시간 지연시키는 지연기(26)와, 지연기(23)의 출력과 시프터(25)의 출력을 가산하는 가산기(100)와, 가산기(100)의 출력에서 시프터(22)의 출력을 감산하는 감산기(200)와, 디지탈 신호 x(n)와 감산기(200)의 출력을 가산하는 가산기(300)와, 가산기(300)의 출력과 계수 c를 승산하는 승산기(A)와, 지연기(24)의 출력과 지연기(26)의 출력을 가산하는 가산기(400)와, 가산기(400)의 출력과 계수 2t를 승산하는 승산기(B)와, 승산기(A)의 출력에서 승산기(B)의 출력을 감산하는 감산기(500)와, 감산기(500)의 출력과 지연기(26)의 출력을 가산하는 가산기(600)로 구성된다. 여기서,WD는 임계 주파수, T는 샘플링 시간이다. 따라서, 본 발명은 승산기의 갯수가 감소함으로 인하여 하드웨어의 크기가 작아지는 이점이 있다.The present invention discloses a method of designing a high-pass IIR filter and a high-pass IIR filter suitable therefor. The apparatus includes a delay unit 21 for receiving a digital signal x (n) and delaying the digital signal x (n) for a predetermined time, a shifter 22 for shifting the output of the delay unit 21 by one bit toward the MSB, A delay unit 24 for delaying the output of the delay unit 24 by 2 bits to the MSB side, a delay unit 23 for delaying the output of the delay unit 24 by a predetermined time, An adder 100 for adding the output of the delay unit 23 and the output of the shifter 25 to the output of the adder 100, A subtractor 200 for subtracting the output of the shifter 22 from the output of the adder 300 and an adder 300 for adding the output of the subtracter 200 to the digital signal x A multiplier B for multiplying an output of the adder 400 by a coefficient 2t, a multiplier B for multiplying the output of the adder 400 by a coefficient 2t, Win It consists of an adder 600 for adding the output of the group (A) output and the retarder (26) of the subtracter 500, a subtractor 500 for subtracting the output of the multiplier (B) at the output of the. here, W D is the threshold frequency, and T is the sampling time. Therefore, the present invention has an advantage that the size of the hardware is reduced because the number of multipliers is reduced.

Description

고역통과 IIR 필터의 설계 방법 및 이에 적합한 고역통과 IIR 필터High-pass IIR filter design method and high pass IIR filter

본 내용은 요부공개 건이므로 전문내용을 수록하지 않았음Since this is a trivial issue, I did not include the contents of the text.

제 2 도는 본 발명에 의한 고역통과 IIR 필터의 구성을 보인 도면.FIG. 2 is a diagram showing a configuration of a high-pass IIR filter according to the present invention; FIG.

Claims (2)

임계 주파수(WD)와 샘플링 주기(T)를 입력받아 아날로그 주파수(WA)를 계산하는 제 1 단계 ; 아날로그 영역에서의 시스템 전달 함수(H(S))를 바이리니어 변환법에 의하여 디지탈 영역에서의 시스템 전달 함수(H(Z))로 변환하는 제 2 단계 ; 상기 제 2 단계에서 구한 디지탈 영역에서의 시스템 전달 함부(H(Z))로부터 차분 방정식(y(n))을 구하는 제 3 단계 ; 및 상기 제 3 단계에서 구한 차분 방정식(y(n))의 계수(a, b, c)를 최적화하여 새로운 차분 방정식(y'(n))을 구하는 제 4 단계로 이루어지는 고역통과 IIR 필터의 설계 방법. A first step of receiving the threshold frequency W D and the sampling period T and calculating an analog frequency W A ; A second step of converting the system transfer function H (S) in the analog domain into the system transfer function H (Z) in the digital domain by the bilinear transformation method; A third step of obtaining a differential equation y (n) from the system transfer acceptance unit H (Z) in the digital region obtained in the second step; And a fourth step of obtaining a new differential equation y '(n) by optimizing coefficients a, b, c of the differential equation y (n) obtained in the third step Way. 여기서,here, 이다.to be. 디지탈 신호 x(n)를 입력받아 소정시간 지연시키는 지연기(21)와, 지연기(21)의 출력을 MSB 측으로 1비트 시프트하는 시프터(22)와, 지연기(21)의 출력을 소정시간 지연시키는 지연기(23)와, 디지탈 신호 y(n)을 입력받아 소정시간 지연시키는 지연기(24)와, 지연기(24)의 출력을 MSB 측으로 2비트 시프트하는 시프터(25)와, 지연기(24)의 출력을 소정시간 지연시키는 지연기(26)와, 지연기(23)의 출력과 시프터(25)의 출력을 가산하는 가산기(100)와, 가산기(100)의 출력에서 시프터(22)의 출력을 감산하는 감산기(200)와, 디지탈 신호 x(n)와 감산기(200)의 출력을 가산하는 가산기(300)와, 가산기(300)의 출력과 계수 c를 승산하는 승산기(A)와, 지연기(24)의 출력과 지연기(26)의 출력을 가산하는 가산기(400)와, 가산기(400)의 출력과 계수 2t를 승산하는 승산기(B)와, 승산기(A)의 출력에서 승산기(B)의 출력을 감산하는 감산기(500)와, 감산기(500)의 출력과 지연기(26)의 출력을 가산하는 가산기(600)로 구성되는 고역통과 IIR 필터.A shifter 21 for receiving the digital signal x (n) and delaying the digital signal x (n) for a predetermined time, a shifter 22 for shifting the output of the delay unit 21 by one bit toward the MSB, A delay 24 for delaying the digital signal y (n) by a predetermined time, a shifter 25 for shifting the output of the delay 24 by 2 bits toward the MSB, An adder 100 for adding the output of the shifter 23 and the output of the shifter 25 to the output of the adder 100; A multiplier 300 for multiplying the output of the adder 300 by a coefficient c, a subtractor 300 for subtracting the output of the adder 300 from the digital signal x (n) An adder 400 for adding the output of the delay 24 and an output of the delay 26, a multiplier B for multiplying the output of the adder 400 by a coefficient 2t, From output A subtractor 500 for subtracting the output of the multiplier B and an adder 600 for adding the output of the subtractor 500 and the output of the delay 26. The high- 여기서,WD는 임계 주파수, T는 샘플링 시간이다.here, W D is the threshold frequency, and T is the sampling time. ※ 참고사항 : 최초출원 내용에 의하여 공개하는 것임.※ Note: It is disclosed by the contents of the first application.
KR1019960017472A 1996-05-22 1996-05-22 Design Method of Highpass IIR Filter and Highpass IIR Filter Expired - Fee Related KR0176205B1 (en)

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