Digital signal processing A resonance filter is a specific second-order digital system designed to attenuate all frequenciesexcept at and around a given center frequency (fe), in Hz. The transfer function of a resonancefilter is:(1 – r) (1 – rz-2)1- 2r cos(w.T)z-1+r2z-2'H(z) =%3Dwhere w.= 27fe, nd r is a parameter that controls the resonance bandwidth.Show that, for any given resonance frequency wcand any value of the parameter r, the amplituderesponse of the filter equals unity at o = oc, i.e. show that |H(oc)| = 1.

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A resonance filter is a specific second-order digital system designed to attenuate all frequencies except at and around a given center frequency (f.), in Hz. The transfer function of a resonance filter is: (1 – r) (1 – rz-2) 1- 2r cos(w.T)z-1 + r²z-2' H(2) = where we= 2n fe, nd r is a parameter that controls the resonance bandwidth. Show that, for any given resomance frequency wcand any value of the parameter r, the amplitude response of the filter equals unity at o = oc, i.e. show that |H(oc)| = 1.

A resonance filter is a specific second-order digital system designed to attenuate all frequencies except at and around a given center frequency (f.), in Hz. The transfer function of a resonance filter is: (1 – r) (1 – rz-2) 1- 2r cos(w.T)z-1 + r²z-2' H(2) = where we= 2n fe, nd r is a parameter that controls the resonance bandwidth. Show that, for any given resomance frequency wcand any value of the parameter r, the amplitude response of the filter equals unity at o = oc, i.e. show that |H(oc)| = 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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