ANSWER ASAP PLS! D, E only. Q4) Consider the following causal linear time-invariant (LTI) discrete-time filterwith input x[n] and output y[n] described byy[n] = ax[n] + bx[n − 1]- bx[n - 2]-ax[n - 3]for n ≥ 0, where a and b are real-valued positive coefficients.A) Is this a finite impulse response (FIR) or infinite impulse response (IIR) filter?Why?B) What are the initial conditions and their values? Why?C) Draw the block diagram of the filter relating input x[n] and output y[n].D) Derive a formula for the transfer function in the z-domain and the region ofconvergence.E) Give a formula for the discrete-time frequency response of the filter.

Given Data: An LTI system with the input-output description as, yn=axn+bxn-1-bxn-2-axn-3 To Find: D.…

Answered: O) Derive a formula for the transfer…

O) Derive a formula for the transfer function in the z-domain and the region of convergence. E) Give a formula for the discrete-time frequency response of the filter.

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

ANSWER ASAP PLS! D, E only.

Q4) Consider the following causal linear time-invariant (LTI) discrete-time filter
with input x[n] and output y[n] described by
y[n] = ax[n] + bx[n − 1]- bx[n - 2]-ax[n - 3]
for n ≥ 0, where a and b are real-valued positive coefficients.
A) Is this a finite impulse response (FIR) or infinite impulse response (IIR) filter?
Why?
B) What are the initial conditions and their values? Why?
C) Draw the block diagram of the filter relating input x[n] and output y[n].
D) Derive a formula for the transfer function in the z-domain and the region of
convergence.
E) Give a formula for the discrete-time frequency response of the filter.

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