2. The following difference equation defines the system y[n] = 4x[n] + 3x[n-1] - 3x[n- 2] + 2x[n-3] (a) Find the impulse response of the system. (b) Determine the output signal y[n] given the input signal x[n] = [1 2 3 1]

2. The following difference equation defines the system y[n] = 4x[n] + 3x[n-1] - 3x[n- 2] + 2x[n-3] (a) Find the impulse response of the system. (b) Determine the output signal y[n] given the input signal x[n] = [1 2 3 1]

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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2. The following difference equation defines the system
y[n] = 4x[n] + 3x[n 1] - 3x[n - 2] + 2x[n-3]
(a) Find the impulse response of the system.
(b) Determine the output signal y[n] given the input signal x[n] = [1 2 3 1]

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Hello pls help me sir its easy kinda for y
Q1) Impulse response and the input of a discrete time LTI system are respectively h[n] = 28[n] – 8[n – 1] + d[n – 2] and x[n] = 28[n] + 8[n – 1] – 8[n – 2]. (a) Plot the impulse response h[n] versus n (b) Plot the input x[n] versus n (c) Determine and plot the output of the LTI system, y[n] = x[n] * h[n] (d) Find and plot y[n] = x[n] * h[3n] Hint: Do the convolution and plot the results for steps for n = -2,–1,0,1, 2, 3,4.
Please answer this. Rely on the example. Find the impulse response h[n] of the causal LTI discrete-system satisfying the following difference equation:
Asked te b.
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 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 x[n] = 0 and y[n] = 0. HINTS. There are a variety of approaches to solving for the step response and impulse response. Perhaps the easiest approach is to calculate the step response first, and then note the relationship between the step response and the impulse response. These are: 72 u[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 the particular solution for the impulse response.
The system with the h[n] impulse response has the output y[n] corresponding to the input x[n]. Find the value of y[1] accordingly. æ[n] = 8[n + 1] – 6.48[n – 1] + 4.38[n – 2] h[n] = u[n+ 2] – u[n – 1]
4
Q1: For the causal system shown in the figure below (a) Find and sketch, the first five samples of the impulse response A[n] and step response s[n] (b) Determine the final value of s[n] as n—oo (c) Find the response to a rectangular pulse input with pulse duration equal 5. x[n] 0 yln] — —> T (05)—
1. Show that x[n] + u[n] = xlk]. k=-00 2. The impulse response h[n] of a discrete-time LTI system is shown in Figure 1(a). Determine and sketch the output y[n] of this system to the input x[n] shown in Figure 1(b) without using the convolution technique. for h[n] |x[n] 0 23 -1 (a) (b) Figure 1.
Q3) A)overall impulse response of the system is given by X(n) a) h[n] = (h1[n]-h2[n])*h3[n]+h5[n]*h4[n] b) h{n] = (((h1[n]-h2[n])*h3[n])+h5[n])*h4[n] c) h[n] = (((h1[n]-h2[n])*h3[n])-h5[n])*h4[n] d) hn] = (((h1[n}-h2[n])*-h3[n])-h5[n])*h4[n]
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