A discrete-time LTI system is modeled by the following differenceequationy(n) + 2y(n − 1) = x(n)where the input is x(n) and the output y(n) .when x(n) = 3ru(n), and y[−1] = 1, n ≥ 0. Compute thecomplete solution y(n),Enter the value for the y(2), the value of y(n) for n=2, with threedecimal places accuracy.

The given difference equation is⇒y[n]+2y[n−1]=x[n].where x[n]=3nu[n].y[−1]=1.We need to compute the…

A discrete-time LTI system is modeled by the following difference equation y(n) + 2y(n − 1) = x(n) where the input is x(n) and the output y(n). when x(n) = 3¹u(n), and y[−1] = 1, n ≥0. Compute the complete solution y(n), Enter the value for the y(2), the value of y(n) for n=2, with three decimal places accuracy.

A discrete-time LTI system is modeled by the following difference equation y(n) + 2y(n − 1) = x(n) where the input is x(n) and the output y(n). when x(n) = 3¹u(n), and y[−1] = 1, n ≥0. Compute the complete solution y(n), Enter the value for the y(2), the value of y(n) for n=2, with three decimal places accuracy.

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

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)
Q5) An LTI system is characterized by the differential equation below: d² d = y(t)+ = y(t)+16.25y(t) == x(1) dt² dt dt a) Write the characteristic equation. b) Find the characteristic roots. c) Write the form of the zero-input response. d) Write the final zero-input response if yzı(0)=0 and dyzi(0)/dt=2. e) Plot the final zero-input response in Matlab/Octave and select the correct graph on the side: f) What are the characteristic modes for this system? 0 0.5 0 -0.5 0 0 5 (1) 5 (3) 10 10 0.5 -0.5 0.1 0 -0.1 -0.2 Am 0 0 5 (2) 5 (4) 10 10
Q4) An LTI system is characterized by the differential equation below: d² = y(t) + 5 = y(t)+6y(t) = x(t) dt2 dt a) Write the characteristic equation. b) Find the characteristic roots. c) Write the form of the zero-input response. d) Write the final zero-input response if yzı(0)=2 and dyzi(0)/dt=-1. e) Plot the final zero-input response in Matlab/Octave and select the correct graph on the side: f) What are the characteristic modes for this system? 1.5 1 0.5 0 -0.5 1 2 3 4 (1) 0.5 0 -0.5 -1 -1.5 (2) 4 01234 (3) 1.5 0.5 234 (4)
3. a) Determine the total solution for n 20 of a discrete-time system characterized by the following difference equation: y[n]+y[n 1]-6y[n-2] =x[n]. for an input x[n] = (-3)"u[n] and with the initial conditions y(-1) = 1 and y(-2) = -1. b) Classify the time invariancy property of the following system with graphical representation: (i) y(n) = nx(n-1), (ii) y(n) = x(2n-1). For graphical representation, let x(n) = {0, 1, 2, 1, 0).
see the question in the image.
Compute the energy and power of the following signal: x[n] = 2 (u[n]u[n - 6]) where u[n] denotes a discrete-time unit step function. ( n
3. given the system coefficients below. The initial conditions are given as y(-1) = 1 and y(-2) = 1, and x(n) = 3u(n). Solve for the zero-input, zero-state responses, and the total response of the system b, =[1 -2 1] a = [1 -0.77178 0.7225]
7..
4. Solve for the zero-input, zero-state responses, and the total response of the system shown below. The initial conditions are given as y(-1) = 1 and y(-2) = 1, and x(n) = 3u(n). x(n) (n)
925 3- The approximate equivalent circut of is to be determined. The open-circuit at 0 20KVA, 8000/240 V 60 Hz transformar short-circut tests that were performed transformer. primary side gave the following results. Open - Circut Test V₁x = 8000 Iloc=0-214 A Ploc = 400 W Short-Circuit Test |Visc = 489V 5₁s = 2.5A Pisc = 240k/ al Find the components of the magnetising branch i referred to the primary side b) Find the Components of the equivalent series impedence referred to the primary side. 119 210 2 15 16
The simplified block diagram for position servo mechanism used in the base of arobotic arm is illustrated in Figure. Investigate whether each of this statement iscorrect or false by using root locus approach.(i) The break-away point of the system is at –0.835
A - Explain the symbols, operating principles and usage areas of the diodes given below. (Zener diode: photo diode: led diode: opto coupler) B- Draw the voltage trigger circuit and explain its operation. Explain how there is a difference between the voltage quadrant and the tripler