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
Some recent column source designs incorporate ‘beam steering', where the phase of each element in the column is varied in order to change the angle at which the major lobe appears.

How to make EMG analysis by Matlab?

1. Enter the 3×4 matrix Let a ij denote the entry of A in the ith row and jth column. Use Matlab to compute the following : (a) a 13 + a 32 (b) Three times the

Solve for unknowns 'x' and 'y' from Equations (1) and (2) using MATLAB. (However, if MATLAB is not the appropriate software to solve these two simultaneous equations, please sugges

Command Window: To the left of the Command Window, there are 2 tabs for the Current Directory Window and Workspace Window. If the Current Directory tab is selected, the files

how to control a suspension by linear quadratic regulator method?

please send the matlab program to find mean,variance,standard deviation and kurtosis for a set of values?

Your functions will allow you to create the following graph, which contains a piecewise function where a line exists in the first interval, a parabola in the second interval, and t

1. Design a suitable phase-lead controller. You should explain in detail how your design has been developed. Your solution should include Bode plots constructed both manually and

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