Determine the equation for the steady state output, MATLAB Programming

Assignment Help:

A filter described by the equation:    y(n) = x(n) + x(n-1) + 0.9 y(n-1) - 0.81 y(n-2)

(a) Find the transfer function H(z) for the filter and find the poles and zeros of the filter.

(b) Plot the poles and zeros of the filter using zplane(b,a) and tell whether or not this filter is stable.

(c) Plot the magnitude and phase of the frequency response of the filter.  Annotate the plots to indicate the magnitude and phase response at points ω=0.33π and  ω=π.

(d)  Generate 200 samples of the signal x(n) = sin(0.33π n) + 5 cos(nπ) and process them through the filter. Plot both the filter's input x(n) and output y(n) on the same graph.

(e) How are the amplitudes of the two sinusoids affected by the filter?

(f)  Determine the equation for the steady-state output yss(n) of the filter whose input is x(n).


Related Discussions:- Determine the equation for the steady state output

Linear Programming, Ft. Loudoun and Watts Bar are two large hydroelectric d...

Ft. Loudoun and Watts Bar are two large hydroelectric dams, the former upstream of the latter. The level of Watts Bar Lake must be kept within limits for recreational purposes, and

Elastic stiffness of a shaft segment, The natural frequencies of a fixed-fi...

The natural frequencies of a fixed-fixed uniform shaft made of homogeneous material undergoing longitudinal vibration is given by rad/s, where L is the length of the bar, G is th

Compare performance between matlab and excel, This assignment is designed t...

This assignment is designed to compare performance between Matlab and Excel for performing nonlinear regression analysis of a set of data. There are two data sets in the accompa

Scripts with input and output, Scripts with Input and output: Placing ...

Scripts with Input and output: Placing all this together, we can implement the algorithm from the starting of this section. The following script computes and prints the area o

EMG, How to make EMG analysis by Matlab?

How to make EMG analysis by Matlab?

Matlabs quad function to perform the integral, We wish to numerically perfo...

We wish to numerically perform the following integration: (a) Use Matlab's quad function to perform the above integral. (b) Analytically evaluate the integral (e.g. do t

Convolution, Perform the convolution of following sequences (a) x[n] = [1 2...

Perform the convolution of following sequences (a) x[n] = [1 2 3], N1 = 1 and h[n] = [1 - 1], N2 = 1 (b) x[n] = [1 2 3], N1 = 2 and h[n] = [1 - 1], N2 = 1 (c) x[n] = [1 2 3], N1 =

Error-checking user input in the while loop, Error-Checking user input in t...

Error-Checking user input in the While Loop: In many applications, whenever the user is prompted to enter anything, there is a valid range of values. When the user enters a wr

linear differential equation in matlab, Problem 1:   What are the di...

Problem 1:   What are the different methods that can be used to solve a differential equation? Please provide a numbered list. Problem 2:   For a first order linear d

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd