Plot the poles and zeros of the filter using zplane, MATLAB Programming

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).

Q.

(a) Find the spectrum of this waveform:  x = [ exp( -[0:1:49]/10), exp(-[50:-1:1]/10)]. Subplot only the magnitude by using the spectrum program from the class notes.

(b) Using this information from the 100-point DFT, re-create the waveform by summing the sinusoidal contributions from all the DFT coefficients as done in lecture. Show both the waveform x and its recreation xhat on another subplot. (The waveforms might merge into one figure so the mean square error is effectively zero in this case.)

(d) Using MATLAB, find the index n0 at which the spectral magnitude falls below 0.05 of its maximum (which is a point beyond which there is little energy left in the higher frequencies.)

(e) Using only the first n0 DFT coefficients, generate the waveform and plot in Matlab by using the symmetry properties of the transform. Plot xhat over the actual signal and annotate the plot to indicate the value of the calculated mse. Title and label the axes. Submit plot and code.

Posted Date: 3/9/2013 1:36:54 AM | Location : United States







Related Discussions:- Plot the poles and zeros of the filter using zplane, Assignment Help, Ask Question on Plot the poles and zeros of the filter using zplane, Get Answer, Expert's Help, Plot the poles and zeros of the filter using zplane Discussions

Write discussion on Plot the poles and zeros of the filter using zplane
Your posts are moderated
Related Questions
Read the document and quote me ... https://www.dropbox.com/s/pvq4f45fpwajibi/Course_wk%20_2013_.pdf

Problem: Consider a trapezoidal piece of polymer film as shown below. The parallel sides of the trapezoid are insulated and the temperature of the bottom and diagonal sides are f

Various commands for get the help: There are various commands which can serve as an introduction to MATLAB and allow you to get the help: info will show contact informatio

to find given number is odd or even in an array with explanation and flow chart

A file houseafford.dat stores on its three lines years, median incomes and median home prices for a city. The dollar amounts are in thousands. For example, it might look like this:

I want codding in matlab for vogel approximation method . i mean .M file for vogels approximation method.

draw midpoint circle by matlab

You are asked to create an american option multiplicative binomial model calculator in MatLab. Both put and call options should be valued. Given u, d, S 0 , K, r, and T (the usual

Illustrations of if statement: illustrations of running this script: >> sqrtifexamp Please enter a number: -4.2 The sqrt of 4.2 is 2.0 >> sqrtifexamp Please ent