신호처리 | 디지털 FIR 미분기 설계 |

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작성자 cemtool 작성일14-04-23 18:47 조회19,145회 댓글22건

본문

이상적인 디지털 미분기의 주파수 응답이 다음과 같다.

$H_d(e^{jw})=\left \{ \begin{matrix} jw, & 0 < w \leq \pi\\-jw, &-\pi<w<0 \right. \end{matrix}$

길이가 21인 해밍 창함수를 사용하여 디지털 FIR미분기를 설계해보자. 시간영역과 주파수 영역에서의 그래프를 그려보자.

/*   Chapter 7: Example 7.12   Differentiator design - Hamming window
*/
 
 M = 21; alpha = (M-1)/2;
 n = 0:M-1;
 hd = (cos(pi*(n-alpha)))./(n-alpha); hd(alpha+1)=0;
 w_ham = (hamming(M))';
 h = hd .* w_ham;
 [Hr,w,P,L] = Hres_t3(h);
 /* plots */
subplot(1,1,1);
subplot(2,2,1); 
stem(n,hd); title("Ideal Impulse Response") 
xtitle("n"); ytitle("hd(n)") 
subplot(2,2,2);
 stem(n,w_ham);title("Hamming Window") 
xtitle("n"); ytitle("w(n)") 
subplot(2,2,3); 
stem(n,h);title("Actual Impulse Response") 
xtitle("n"); ytitle("h(n)") 
subplot(2,2,4);
plot(w/pi,Hr/pi); title("Amplitude Response") 
xtitle("frequency in pi units"); ytitle("slope in pi units")

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dihua61님의 댓글

dihua61 작성일 19-04-25 12:50

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edwina님의 댓글

edwina 작성일 19-04-27 07:26

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