数字信号处理_基于计算机的方法_第四版_Sanjit-K.Mitra_习题答案 第9章
38页1、Not for sale 1 SOLUTIONS MANUAL to accompany Digital Signal Processing: A Computer-Based Approach Fourth Edition Sanjit K. Mitra Prepared by Chowdary Adsumilli, John Berger, Marco Carli, Hsin-Han Ho, Rajeev Gandhi, Martin Gawecki, Chin Kaye Koh, Luca Lucchese, Mylene Queiroz de Farias, and Travis Smith Copyright 2011 by Sanjit K. Mitra. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written
2、consent of Sanjit K. Mitra, including, but not limited to, in any network or other electronic Storage or transmission, or broadcast for distance learning. Not for sale 2 Chapter 9 9.1 We obtain the solutions by using Eq. (9.3) and Eq. (9.4). (a) p=110 p/20 =1100.24 /20= 0.0273,s=10s /20 =1049/20= 0.0035. (b) p=110 p/20 =1100.14 /20= 0.016,s=10s /20 =1068/20= 0.000398. 9.2 We obtain the solutions by using Eqs. (9.3) and (9.4). (a) p= 20log101p ()= 20log10(10.04) = 0.3546dB, s= 20log10s( )= 20log1
3、00.08()= 21.9382 dB. (b) p= 20log101p ()= 20log10(10.015) = 0.1313dB, s= 20log10s( )= 20log100.04()= 27.9588 dB. 9.3 G(z) = H2(z), or equivalently, G(e j) = H2(ej) = H(ej)2. Let pand s denote the passband and stopband ripples of H(e j), respectively. Also, let p,2= 2p, and s,2 denote the passband and stopband ripples of G(e j), respectively. Then p,2=1(1p)2, and s,2= (s)2. For a cascade of sections, p,M=1(1p)M,and s,M= (s)M. 9.4 HLP(ej) p s ps s 1+p 1 p 0 HHP(ej) s 1+ p 1 p p s( s)( p) 0 Therefo
4、re, the passband edge and the stopband edge of the highpass filter are given by p,HP= p, and s,HP= s, respectively. 9.5 Note that G(z) is a complex bandpass filter with a passband in the range 0 . Its passband edges are at p,BP=op,and stopband edges at s,BP=os. A real coefficient bandpass transfer function can be generated according to GBP(z) = HLP(e joz)+ HLP(e joz) which will have a passband in the range 0 Not for sale 3 and another passband in the range 0. However because of the overlap of th
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