c)Find the impulse response h[n] for the following system and decideif it is causald)e)1. y[n] = a₁x[n] + a₂x[n − 1] − by[n 1] with the initialcondition y[n] = 0,n<02. y[n] = (x[n+ 1] + x[n])Determine the output y[n] of the system with impulse response0≤n≤4elsewhereh[n] = {to the input(an,-3≤n≤510, elsewhereConsider designing a DT inverse system to eliminate the distortionassociated with an undesired echo in a data transmission problem.The echo causes the input signal x[n] to be attenuated by aconstant factor a and delayed by one time unit. The attenuatedsignal is represented by the following equationy[n] = x[n] + ax[n 1]If H{x[n]} = y[n], find a causal system H-¹ such thatH-¹{y[n]} = x[n]. That is, if we receive a distorted signal y[n], weshall be able to recover the original transmitted signal x[n]. Hint:Let the impulse response of H be denoted h[n] and the impulseresponse of H-1 be denoted h¹ [n]. The following relationshipmust holdx[n] =h[n] h¹[n] = 8[n]Then the problem of finding H-¹ reduces to finding h¹ [n] suchthat the above mentioned equation holds. Try to find h[n] first.

since you have posted multiple questions, we will provide the solution to the first question only as…

c) Find the impulse response h[n] for the following system and decide if it is causal 1. y[n] = a₁x[n] + a₂x[n − 1] − by[n 1] with the initial condition y[n] = 0,n<0 2. y[n] = (x[n+ 1] + x[n])

c) Find the impulse response h[n] for the following system and decide if it is causal 1. y[n] = a₁x[n] + a₂x[n − 1] − by[n 1] with the initial condition y[n] = 0,n<0 2. y[n] = (x[n+ 1] + x[n])

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

EENG226 SIGNALS AND SYSTEMS PLEASE if you don't mind can you solve it very quickly ??
PROBLEM 4 [PIECEWISE FUNCTIONS]: In signal processing, three discrete-time elementary signals are being discussed. The first of these is the unit impulse function (n) and is defined as n is an integer 8(n) = {1 (1, n = 0 n = 0' The second elementary signal is called the unit step function u(n) and is defined as u(n) = {1, Evaluate the expression: n>0 n<0' The third elementary signal is the ramp function r(n) and is defined as r(n) = {1, (n, n is an integer n≥0 n<0' n is an integer 8(3)-5u(4)r (2) + 8(0)u(1)r(6)-78(-3)
Electrical Engineering - Digital Signal Processing
A discrete-time system has the following unit-pulse response, Find the response of this system y[n] when: x[n] = u[n]. h[n] = ((0.5)" (0.25)”)u[n]
An LTI system has an impulse response: h(t) = eu(+1).This system is: NEED A NEAT HAND WRITING ONLY OTHERWISE WILL LEAVE A DOWNVOTE ? NO CHAT GPT ATLEAST 3 STEPS WITH EXPLANATION
The impulse response of a continuous time LTI system is given as below: h[n] = G) (u[n] - u[n - 7]) Determine and justify whether the system is a) Causal b) Stable c) Memoryless
i need the answer quickly
Plz solve within 30min I vill give definitely upvote and vill give positive feedback thank u
Please rely on the example. Thank you. Please tell if it is FIR or IIR
All information about current transformer and voltage transformer in protection system
1.A discrete time and causal LZD system, x [n] and y [n] being the input and output signals of the system, shown as follows: 3 yln]-yln- 1]+Mn – 2] = x[n] a) Find the system function, H (z), the impulse response of the system, h [n]. b)Find the step response of the system, s [n]. (Reminder: if x [n] =u [n] then y [n] = s [n]) wwm ww c) x[n] = n - u[n- 2] ve x[n]=| u[n – 1] . u[n] Find the z-transforms of the signs in terms ofX (z) using the z-transform properties. w ww ww d nx[ n]<→-2 X(2) dz
1. Given an input signal x[n], and the impulse response h[n], compute the output signal a. x[n] = n(u[n] — u[n − 4]), h[n] = n²(u[n + 2]u[2 − n]) b. x[n] au[1-n], h[n] = u[2-n] for a >1