0.018652+0.01745. Find y(n), if a step input is applied to the system given by GIz final...
3) Say a unit step input sequence is applied to a system yielding y/n)-4 (4)"- w{n} + 14 (-1)" (5 points) (a) Determine the system function H(z) of the system. Plot the poles and zeros of H(a), and determine the ROC (b) Determine the impulse response of the system, An (e) Write the difference equation, y/n), as a funetion of past outputs, the present input, and past inputs
1. Given the impulse response, h[n duration 50 samples. (-0.9)"u[n, find the step response for a step input of h-(0.9)-10:491 -ones (1,50) s- conv(u,h) 2. Plot h and u using stem function for 50 samples only stem(10:491, s(1:50) 1. Given a system described by the following difference equation: yIn] 1143yn 1 0.4128y[n -2 0.0675x[n0.1349xn 0.675x[n-2] Determine the output y in response to zero input and the initial conditionsy-11 and yl-2] 2 for 50 samples using the following commands: a -,-1.143,...
. When a 10-unit step function is applied to a system with Y (s) / X (s) = 1 / (9S2 + 3S + 1), for this system; A) Top shot B) The maximum value of Y C) Y's final value D) What is the period of oscillation, calculate?
1) Given the system with u[n]- the discrete unit step input xiln 1] xiIn] r2ln] 0 find: (note this is very easy since A is diagonal) a) DTS Resolvent Matrix and State transition matrix b) Transfer function Y(z)/U(z) = T(z) c) Total response if the input u[n] is a discrete unit step and IC [1;1]
Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...
5.16. Given the following difference equation with the input-output relationship of a certain initially relaxed system (all initial conditions are zero), y(n)-0.6y(n - 1+0.25y(n - 2) -x(n) +x(n- 1) a. find the impulse response sequence y(n) due to the impulse sequence o(n): b. find the output response of the system when the unit step function u(n is applied
4. The impulse response of a system is given by h[n]=(0.3)"u[n]. If the input to the system is x[r]=(-0.6)" u [n], giving an output of y[n]=[n]*x[n]: a. (5 pts) Find the spectrum of the output, Y(e/2/). b. (10 pts) Use partial fraction decomposition to rewrite Y (e/2*) as a sum of two terms then take the inverse DTFT to find the output, y[n]
2. Analysis (30pts) Given this difference equation for a system: y[n] = + x[n-2] a. Find h[n] b. Find Hz), and determine the roots c. Draw the pole-zero plot d. Based on the pole-zero plot, what kind of system is this? low pass, high pass, bandpass, or band reject e. If the signal x1 [n] = (21)" = e'" is the input, substitute this signal in the difference equation and find the output. (This should confirm your answer to d.)...
The input-output relationship for a system is ¨y(t) + ˙y(t) = x(t). (a) Find the impulse response of the system. (b) Find the zero-state response when the input is a unit step. (c) Find the zero-state response when the input is x(t) = 1.6u(t) − 0.6u(t − 1).
Problem 2: Find the impulse response h(n) of a causal LTI system if the input x(n) and the output y(n) are given as follows 72 42)un-1) y(n)-G)na(n) xnun)