The Figure shows a discrete-time system which consists of an interconnection o four LTI systems with impulse responses h1, h2, h3, and h4. Determine the impulse response of the system, at point B O h[n] = d[n=1], h,[n] = 8[n=2] A h2[n] y[n] x[n] {hl[n] | h4[n] B h3[n] h,[n] = d[n 3] n x[n]=2°u[n], h,[n]= d[n-4 | a)2" S[n– 4] c)2" * 8[n– 8] | b)2" ²8[n– 2] d)2"³8[n-3] a

The Figure shows a discrete-time system which consists of an interconnection o four LTI systems with impulse responses h1, h2, h3, and h4. Determine the impulse response of the system, at point B O h[n] = d[n=1], h,[n] = 8[n=2] A h2[n] y[n] x[n] {hl[n] | h4[n] B h3[n] h,[n] = d[n 3] n x[n]=2°u[n], h,[n]= d[n-4 | a)2" S[n– 4] c)2" * 8[n– 8] | b)2" ²8[n– 2] d)2"³8[n-3] a

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...

See similar textbooks

Similar questions

Could you answer the d and e parts and show the calculations clearly. Thanks a lot. Btw, this question is about the digital signal processing (electrical electronic engineering) Compute for this system, a) h[n], the impulse response b)Calculate y[n] for given x[n] analytically c) Calculate y[n] using graphical convolution d)Is this system causal? Why? e) What is this system used for?
2.a: An LTI system has an impulse response described in figure. Is the system causal and stable? (The answer should be, that the system is not causal, because the impulse response is left-sided. The system is unsatbke. But my problem is: - When is the system right sided or left sided? - When is the system stable or not stable? - Please explain why, because I really do not understand!)
Two LTI systems with individual impulse responses h1[n] and h2[n] given below h1[n] = [2,2, -10, 7, 15], -3≤n≤1 h2[n] = [-2, 0, 0, 8, 2, 6], 0≤n≤5 Find the following: (a) The overall impulse response when the two systems are connected in cascade. (b) The overall impulse response when the two systems are connected in parallel. (c) Test the causality and stability of the two new systems produced in (a) and (b) steps.
A system is described as: w (n + 1) = 0.5 w(n) — x(n) y(n) = w (n) - x(n) Where x(n) and y(n) are input and output signals, respectively. 1. Draw a block diagram or signal flow graph representation for this system by using Direct form II 2. Find the system function H(z) and the impulse response h(n) of this system. 3. Is this system causal or not? Why? 4. Is this system stable or not? why? 5. If the input impulse Dirac 8 find the difference equation.
Calculate the value of expression ∑2n=-2= h[n] for the impulse-response h(n) of a system defined by the constant coefficient difference equation in discrete-time y[n]-0,8.y[n-1]+0,15.y[n-2]=x[n]-0,3.x[n-1] and specify it as the response. thank you:)
the first order difference equation y[n]-ay[n-1]=x[n],0<a<1,describes a particular discrete-time system intially at rest. (a)verify that the impulse response h[n] for this system is h[n]=anu[n]. (b)is the system 1.memoryless? 2.casual? 3.stable? claearly state your reasoning (c)is the system stable if |a|>1?
Could you answer this question and show the calculations clearly. Thanks a lot. Btw, this question is about the digital signal processing (electrical electronic engineering) Compute for this system, a) h[n], the impulse response b)Calculate y[n] for given x[n] analytically c) Calculate y[n] using graphical convolution d)Is this system causal? Why? e) What is this system used for?
Convolving an input signal x(t) with the impulse response h(t) of a continuous-time system is a legitimate approach to yield the system's output y(t) under the condition that the system is: a) a Non-linear syestemb) a Memoryless syestemc) a Causal syestemd) a Linear and time-invariant syestem e) none of the answers above
Consider the following second-order difference equation: y[n] + 1.4y[n − 1] + 0.45y[n − 2] = x[n] − x[n − 1] with an input of x[n] = 0.1nu[n] and initial conditions y[−1] = 0 and y[−2] = 1. Determine the: 1. characteristic equation and its roots 2. particular solution 3. impulse response 4. zero-input response 5. zero-state response 6. total response
a) h[n] = {-1,1,2,-3,4}Above defines the impulse response h[n] of a certain LTI aystemDetermine the output signal,y[n] of the system considering that a signal x[n] = {-1,-2,5,3,4} is applied to the system. b) h[n] = u[n], where u[n] = unit stepAbove defines the impulse response h[n] of a certain LTI systemDetermine the output signal,y[n] of the system considering that the input signal x[n] = anu[n], where -1 < a < 1 is applied to the system.
Given difference equationy(n) = 0.6y(n − 1) − 0.25y(n − 2) + 2x(n) − 0.5x(n − 1)using homogenous and particular solution,(a) Find the impulse and step responses at the zero initial condition. (b) For y(−2) = 1, y(−1) = 2 and x(n) = 0.4n u(n), n ≥ 0 find y(n) ? (c) Realize the system using Direct Form I and Direct Form II. Compare your results.
Sketch the root locus of the system whose open loop transfer function is G(s)=k/s(s+4)(s+6). Find the value of k so that damping ratio of closed loop system is 0.6.