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

Solution by using pdepe function, Solution by using pdepe function fu...

Solution by using pdepe function functionpdex1 m = 0; x = linspace(0,1,100); t = linspace(0,0.2,10);   sol = pdepe(m,@pdex1pde,@pdex1ic,@pdex1bc,x,t); % Ext

Appending data to a data file, Appending data to a data File: A text f...

Appending data to a data File: A text file once exists; the data can be appended to it. The format is similar as formerly, with the addition of the qualifier -append. For illu

Matrices of random numbers, Matrices of random numbers: The Matrices o...

Matrices of random numbers: The Matrices of random numbers can be generated using the rand and randint functions. The first two arguments in the randint function identify the

Find and plot the magnitude of the dtft, An FIR filter has coefficients b =...

An FIR filter has coefficients b = [ 1.0000   -0.6387    1.0214    0.8210   -0.7470    1.0920 ] (a) Find H(z) for the filter and plot its frequency response (magnitude and phase

Example of variables and assignment statements, Example of Variables and as...

Example of Variables and assignment statements: The expression is computed and then that value is stored in the variable. For illustration, this is the way it would appear in

Sopping function and upwind scheme, I am trying to implement this equation ...

I am trying to implement this equation u_t=-\u_x\ using upwind scheme. and as a second step, I need to put some stopping function g(h) where u_t=-g(h)\u_x\ how can I write this on

Calculate the distance between the two cars, Two cars started to move from ...

Two cars started to move from zero position with (φ = 35) as shown. For the next four minutes, do the following: 1. Calculate each car's distance from the zero position (Distanc

Output statements, Output Statements: disp and fprintf: The Output sta...

Output Statements: disp and fprintf: The Output statements display strings and the answers of expressions and can permit for formatting or customizing how they are exhibited.

Compute the moments, Show (turn in) similar output images as in part 2 for ...

Show (turn in) similar output images as in part 2 for each of your new images (there is only 1 connected component in this case). Write three functions which compute the moments, c

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