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

Equations of motion of shaft-rotor system, Consider the shaft-rotor system ...

Consider the shaft-rotor system shown in Figure. Write down the equations of motion. Taking  I= 1 kgm 2 and k=10 kNm/rad, for two special cases (α =0.5 and α = 1000) find as many

Random numbers, Random numbers: Whenever a program is being written to...

Random numbers: Whenever a program is being written to work with a data, and the data is not yet available, it is frequently useful to test the program first by initializing t

Load from file and plot data, Example: Load from File and Plot Data: A...

Example: Load from File and Plot Data: As illustration, a file known as timetemp.dat stores two lines of data. The first line is the time of the day, and the next line is the

Mathematical operation, Mathematical operation: For numerical operands...

Mathematical operation: For numerical operands, the use of such operators is clear-cut. For illustration, 3 >> 3 ans = 1 >> 9 ans = 0 Though, in the Wo

Solve a programming problem, Write a function rid_multiple_blanks that will...

Write a function rid_multiple_blanks that will receive a string as an input argument. The string contains a sentence that may have multiple blank spaces in between some of the word

DC Motor, I need assignment to finish.

I need assignment to finish.

Write a script file which will determine the displacement, The mass of the ...

The mass of the spring-mass-damper system shown below was initially displaced by 1 meter to the right and then released. The subsequent acceleration of the mass was measured using

Error in variables statements, Error in variables statements: Error: T...

Error in variables statements: Error: The expression in the left of equals sign is not a valid target for an assignment. >>  By placing a semicolon at the end of the sta

Need help with assignment, Hi I''m wondering if someone can help me with Ma...

Hi I''m wondering if someone can help me with Matlab coursework

Illustration of for loop, illustration of for loop: illustration, to p...

illustration of for loop: illustration, to print a column of numbers from 1 to 5: for i = 1:5 fprintf('%d\n',i) end   This loop can be entered in the Command Wi

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