Digital Signal Processing week 14 IIR Filter u

Digital Signal Processing ( week 14 )

IIR Filter u Infinite Impulse Response(IIR) filter l 현재의 출력 계산을 위해 과거(이전)의 입력 및 출력 필요 ⇒ 출력이 입력으로 Feedback 됨 ⇒ Recursive Filter 구조 Digital Image Processing

FIR filter Input Signal IIR filter x[n] h[n] Output Signal y[n] X(z) H(z) Y(z) l 초기 정지 조건(i. r. c) 만족 ⇒ LTI 시스템 Z 변환 Digital Image Processing

IIR Filter u Butterworth vs. Chebyshev Digital Image Processing

IIR Filter Design u LPF 를 위한 Matlab 함수들 l [b, a] = butter(N, wn); l [b, a] = cheby 1(N, Rp, wn); l [b, a] = cheby 2(N, As, wn); l [b, a] = ellip(N, Rp, As, wn); l buttord, cheblord, cheb 2 ord, ellipord, bilinear, impinvar Digital Image Processing

IIR Filter Design (예제 1) u Butterworth IIR Filter : Lowpass filter l frequency break point : [0 0. 2 0. 3 1] 단위: π l amplitude break point : [1 1 0 0] l Ap = 3 d. B, As = 10 d. B Digital Image Processing

IIR Filter Design (예제 1) u Butterworth IIR Filter : Lowpass filter Digital Image Processing

IIR Filter Design (예제 1) u 참고 : buttord 함수 Digital Image Processing

IIR Filter Design (예제 1) u 참고 : butter 함수 Digital Image Processing

IIR Filter Design (예제 1) u Butterworth IIR Filter (단위 : π) (1) impulse response Digital Image Processing (2) magnitude response

IIR Filter Design (예제 2) u Butterworth IIR Filter : Lowpass filter l frequency break point : [0 1000 1500 ~] 단위: Hz l amplitude break point : [1 1 0] l Ap = 3 d. B, As = 10 d. B : sampling freq. Digital Image Processing

IIR Filter Design (예제 2) u Butterworth IIR Filter Digital Image Processing

IIR Filter Design (예제 3) u Butterworth IIR Filter : Bandpass filter l frequency break point : [0 0. 3 0. 7 1] 단위: π l amplitude break point : [0 1 1 0] l Ap = 3 d. B, As = 10 d. B Digital Image Processing

IIR Filter Design (예제 3) u Butterworth IIR Filter : Bandpass filter Digital Image Processing

IIR Filter Design (예제 3) u Butterworth IIR Filter : Bandpass filter (단위 : π) (1) impulse response Digital Image Processing (2) magnitude response

IIR Filter Design (예제 4) u Chebyshev Type I IIR Filter : Lowpass filter l frequency break point : [0 0. 2 0. 3 1] 단위: π l amplitude break point : [1 1 0 0] l Ap = 3 d. B, As = 10 d. B Digital Image Processing

IIR Filter Design (예제 4) u 참고 : cheby 1 ord 함수 Digital Image Processing

IIR Filter Design (예제 4) u 참고 : cheby 1 함수 Digital Image Processing

IIR Filter Design (예제 4) u Chebyshev Type I IIR Filter Digital Image Processing

IIR Filter Design (예제 4) u Chebyshev Type I IIR Filter (단위 : π) (1) impulse response Digital Image Processing (2) magnitude response

IIR Filter Design (예제 5) u Chebyshev Type 1 IIR Filter : Bandpass Filter l 예제 3, 예제 4 참고 u Chebyshev Type 2 IIR Filter : Lowpass Filter l 예제 4 참고 u Chebyshev Type 2 IIR Filter : Bandpass Filter l 예제 5 참고 Digital Image Processing

IIR Filter Design (예제 6) u Elliptic IIR Filter : Bandpass filter l frequency break point : [0 0. 3 0. 7 1] 단위: π l amplitude break point : [0 1 1 0] l Ap = 3 d. B, As = 10 d. B Digital Image Processing

IIR Filter Design (예제 6) u 참고 : ellipord 함수 Digital Image Processing

IIR Filter Design (예제 6) u 참고 : ellip 함수 Digital Image Processing

IIR Filter Design (예제 6) u Elliptic IIR Filter : Bandpass filter Digital Image Processing

IIR Filter Design (예제 6) u Elliptic IIR Filter : Bandpass filter (단위 : π) (1) impulse response Digital Image Processing (2) impulse response

양자화 에러 u 양자화 소수점 1 0 1 1 bit-length 만큼 좌로 shift 1 0 1 1 1 0 소수점 이하 버림 1 0 1 1 bit-length 만큼 우로 shift 1 Digital Image Processing 0 1 1 1 0

과 제 u 작성한 M 파일과 HWP(DOC) 파일 압축 u 파일명 : 02_학번_성명. zip u 수업시간 끝나기 전까지 u E-mail : young 220 @ paran. com Digital Image Processing

수고 하셨습니다 Digital Image Processing