Here are some impu responses n[n] ne and continuous -time LTI systems, where u[n] and u(t) are the discrete -time and continuous-time unit step functions, respectively. Determine whether each system is 1) stable or not, 2) causal or not. Show your justification. (a) h[n] = au[n], for |a| < 1. (b) h[n] Bu[3 –n], for || > 1. = (c) h(t) = e-4|t|

Here are some impu responses n[n] ne and continuous -time LTI systems, where u[n] and u(t) are the discrete -time and continuous-time unit step functions, respectively. Determine whether each system is 1) stable or not, 2) causal or not. Show your justification. (a) h[n] = au[n], for |a| < 1. (b) h[n] Bu[3 –n], for || > 1. = (c) h(t) = e-4|t|

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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= bartleby Search for textbooks, step-by-step explanations to home... Ask an Expert Engineering / Electrical Engineering / Q&A Library / Are the following systems linear? Is it memoryless? Is it causal? Explain your answer. Can impuls... Are the following systems linear? Is it memoryless? Is it causal? Explain your answer. Can impulse response a... Additivity : yı (t) = e"u1 (t) y2(t) = e=u2(t) y-(t) = y1 (1) + y2(t) = e"tu (t) + e-u>(t) = e (u1(t) + u2(t)) ya(t) = e(u1(t) + u2(1)) ye (?) = ya(t) Homogenity: Ya(t) = e-1)\Vku(t) y.(t) = e"ku(t) ya(t) = ye(t) So, the system is linear. Since the output depends upon the input at the present time, so it is a memoryless system. Since the output depends upon the input at the present time and does not depend upon the future input, so it is a causal system. Answer thus, the system is linear,memoryless ,causal. Step 5
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EENG226 SIGNALS AND SYSTEMS PLEASE if you don't mind can you solve it very quickly ??
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This is digital signal processing question in attached.