(d) Bilinear Transformations and Equivalence One approach to realising a digital filter is to transform an analog filter (a complex function in the s-domain) to a digital one (a complex function in the z-domain). This may be accomplished via a bilinear transformation of the form: (1– z-1 s = K 1+z-1 where K is a design parameter. A common choice for this is K = 2; that is, Tustin's Rule. Using this approach, design a digital lowpass filter with a cutoff frequency of wa = 500 rad/s and sampling frequency wg = 20007 rad/s, equivalent to a 5th-order But- terworth LPF?. Determine the digital transfer function H(z), and plot the magnitude response of both the analog and digital LPFS using normalised frequency (normalis- ing to T = 1 s). Comment on the difference between the digital and analog filters and their cut-off frequency

(d) Bilinear Transformations and Equivalence One approach to realising a digital filter is to transform an analog filter (a complex function in the s-domain) to a digital one (a complex function in the z-domain). This may be accomplished via a bilinear transformation of the form: (1– z-1 s = K 1+z-1 where K is a design parameter. A common choice for this is K = 2; that is, Tustin's Rule. Using this approach, design a digital lowpass filter with a cutoff frequency of wa = 500 rad/s and sampling frequency wg = 20007 rad/s, equivalent to a 5th-order But- terworth LPF?. Determine the digital transfer function H(z), and plot the magnitude response of both the analog and digital LPFS using normalised frequency (normalis- ing to T = 1 s). Comment on the difference between the digital and analog filters and their cut-off frequency

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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