Answered: We consider a filter given in the…

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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We consider a filter given in the frequency domain– the so-called transfer function of
the filter. Our filter shall be a symmetric low-pass filter of the boxcar type. Let ωc denote the
cutoff frequency. Based on this information, derive a formula for the filter in the time-domain,
the so-called impulse-response function of the filter.

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According to the question, we need to derive the impulse response of the low-pass filter.

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The formula above should include a so-called sinc function (sinus cardinalis function).
Use any available resource to find a formula that performs interpolation by means of the sinc function, and Explain why it can be useful to do sinc interpolation.

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