Q1: If a digital filter has deference equation y[n] = x[n] – 0.25 x[n-1] + 0.5 k y[n].a- What is the filter transfer function?b- Draw at the z-plane the poles and zeros.c- The range of k values that make the filter stable.d- The frequency response of the filter at the frequency equal to one third of thesampling frequency at k=1.e- Construct the block diagram of the filter.f- What is the filter type and order?

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Q1: If a digital filter has deference equation y[n] = x[n] – 0.25 x[n-1] + 0.5 k y[n]. a- What is the filter transfer function? b- Draw at the z-plane the poles and zeros. c- The range of k values that make the filter stable.

Q1: If a digital filter has deference equation y[n] = x[n] – 0.25 x[n-1] + 0.5 k y[n]. a- What is the filter transfer function? b- Draw at the z-plane the poles and zeros. c- The range of k values that make the filter stable.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.

Question

Q1: If a digital filter has deference equation y[n] = x[n] – 0.25 x[n-1] + 0.5 k y[n].
a- What is the filter transfer function?
b- Draw at the z-plane the poles and zeros.
c- The range of k values that make the filter stable.
d- The frequency response of the filter at the frequency equal to one third of the
sampling frequency at k=1.
e- Construct the block diagram of the filter.
f- What is the filter type and order?

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