Consider the first-order discrete-time system given by the difference equation:y[n] = -ay[n-1]+xn]The impulse response is the output of this system when the input is set to the unitpulse, so that a[n] = [n]. Similarly, the step response is the output of this systemwhen the input is set to the unit step sequence, such that a[n] = u[n].Calculate the impulse response and step response for the system givenAssume the system is causal so that for n < 0 both x[n] = 0 andy[n] = 0.HINTS. There are a variety of approaches to solving for the step response and impulseresponse. Perhaps the easiest approach is to calculate the step response first, and thennote the relationship between the step response and the impulse response. These are:72u[n] = Σ 6[m], _and_§[n] = u[n] — u[n — 1]m=-00-The particular solution then for the step response is easier to determine than theparticular solution for the impulse response.

Given:difference equation of a first order DT system, where x[n] and y[n] are causal signals. we…

Consider the first-order discrete-time system given by the difference equation: ynayn-1]+x[n] The impulse response is the output of this system when the input is set to the unit pulse, so that a[n] - [n]. Similarly, the step response is the output of this system when the input is set to the unit step sequence, such that a[n] = u[n]. Calculate the impulse response and step response for the system given Assume the system is causal so that for n <0 both a[n] =0 and y[n] = 0. -

Consider the first-order discrete-time system given by the difference equation: ynayn-1]+x[n] The impulse response is the output of this system when the input is set to the unit pulse, so that a[n] - [n]. Similarly, the step response is the output of this system when the input is set to the unit step sequence, such that a[n] = u[n]. Calculate the impulse response and step response for the system given Assume the system is causal so that for n <0 both a[n] =0 and y[n] = 0. -

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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Length of the linear convolution output y[n] is 400 and length of the impulse response h[n] is 40. Then the length of the input sequence x[n] assuming that the length of linear convolution output is reduced by 50% is.
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2. When an input as a unit step function is applied to a system whose impulse response is h[n]=[0.4]nu[n], the highest value to be obtained at the output is ..... This is a control systems question.
Consider an input x[n] and a unit impulse response h[n] given by x[n] = (½)n-2 u[n- 2], h[n] = u[n-2]Determine and plot the output y[n] = x[n] * h[n]( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).