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: in] -in – 1]+n- 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]) ww w

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: in] -in – 1]+n- 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]) ww w

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

1.Find the impulse response of the equivalent system (i.e,, find h[n]) such that ?[?]=?[?]∗ℎ[?]holds where h1[n]=?[n]+0.5?[n−1], h2[n]=0.5?[n]−0.25?[n−1], h3 [?]=(0.5)n u[n]with u[n]denoting unit-step function. this is a signal systems question
Given a plant P(s)=−3s+1s+a and a model for measureable output disturbance d with transfer function Q(s)=1s+b. Compute the DC feedforward solution uP=u+Fd, where u is the feedback control, F is the feedforward gain, abd uP is the plant input, when a = 4.3 and b = 3 (use 2 decimals).
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.
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?
In a linear time-invariant discrete-time system, x[n] is the input and y[n] is the output. Unit at the entrance of the systemWhen initial conditions are zero when step (u[n]) is applied y[n] = 3(1/2)^n It is known that u[n] is output.Accordingly, create the transfer function of the system and find the unit sample answer for this system. (h[n]=?) Reminder: This question also covers z-transformation and inverse z-transformation.
Determine the output of the systemdescribed by the following difference equations with inputand inital conditions as specified belowby using only time-domain operations. a)y[n]−0.5y[n−1]=2x[n],y[−1]=3, x[n]=(−0.5)n u[n]. this is a signal systems question
Determine the z-domain transfer function for each of the following LTI systems. The impulse response for these expressions is denoted by h[n], the input signal by x[n], and the output signal by y[n]. Provide your response as the ratio of two finite-order z polynomials or as a z polynomial of finite order. Assume that the input signal starts at n = 0 or later in every scenario. For n < 0, further suppose that y[n] = 0. Indicate if the system is IIR or FIR.
A car was ignited & a signal from the engine i.e a(z) was passed through a cascade of 2 passive RC lowpass filters to generate an output signal, b(z).a.Show a differential equation derivation to describe the systemb.Make a sketch utilizing circuit diagramc.Mention if the RC system in question above isi.Time in-variant / Time variant ii.Non linear / lineariii.Non-invertible / Invertibleiv. Non-causal / Causal v. Have no memory / Have memory sytems.d. d2b(z)/dz2 + 3(db(z)/dz) +2b(z) = 3(da(z)/dz) +2a(z)Let's assume that the d.e(differential equation) above is that which is characterised by the RC system in the main question above.Where a(z) & b(z) is the input & output of the RC system respectively.Considering an impulse of a(z)=δ(z) is applied to the system, determine the output b(z) of the system
A stable x(n) input signal is applied to an LTI system with a unit impulse response h(n), and y(n)=2 (1/4)'' u(n) output is obtained. a) Find the frequency response,H(ejω), of the system. b) Find the x(n) sign and spectrum applied to the input by DTFT. c) Give the input/output differential equation of the system.
The impulse response of an LTI system is h(n) = 3δ(n) + (1/4)n u(n). Find the frequency response, H(e jω), and the difference equation of this system. An input signal x(n) = (1/3)n u(n), is applied to this system and an output signal y(n) is observed. Find the output signal, y(n), using DTFT methods. Give the system function H(z) using the frequency response H(ejω). Find the zeros, poles and ROC of this system and show them on the complex plane. Discuss the stability, causality, FIR/IIR and memory properties of this system.
digital signal processing question. An LTI (Linear Time Invariant) system is given below with an input x[n] and output y[n] 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.
You are given an unknown digital system with just the information that it is stable and causal. You are supposed to determine the frequency response and impulse response of it, so you apply a known input x(n) = u(n) to the system and observe y(n) = (30/13) [ 0.8n – (-0.5)n ] u(n) output. Give the system function H(z), its ROC, and the frequency response H(ejω). Calculate the impulse response h(n). Give the difference equation of the system. Is this system FIR/IIR ?