(D3) Digital Filter Design based on Bilinear Transform A digital filter has to be designed by applying the bilinear transform. Starting point is 1* order continuous time filter with Butterworth characteristic (normalized): 1 H(S) = S+1 Sampling frequency in discrete time is fs = 44.1 kHz. Cut-off frequency should be fe = 10 kHz. a) Apply frequency scaling first, i.e. replace S = (don't use pre-warping) and write down resulting transfer function for continuous time (CT). b) Convert the filter into digital form (DT) by applying the bilinear transform to the transfer function calculated in part (a). 2 z-1 Reminder: S == T z+1

(D3) Digital Filter Design based on Bilinear Transform A digital filter has to be designed by applying the bilinear transform. Starting point is 1* order continuous time filter with Butterworth characteristic (normalized): 1 H(S) = S+1 Sampling frequency in discrete time is fs = 44.1 kHz. Cut-off frequency should be fe = 10 kHz. a) Apply frequency scaling first, i.e. replace S = (don't use pre-warping) and write down resulting transfer function for continuous time (CT). b) Convert the filter into digital form (DT) by applying the bilinear transform to the transfer function calculated in part (a). 2 z-1 Reminder: S == T z+1

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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