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
Built-In Functions and help: There are lots of built-in functions in a MATLAB. The help command is used to find out what functions MATLAB has, and how to use them. For illustr

how to write the national log (ln(x)) in matlap ?

Example of Printing vectors: For vectors & matrices, even though formatting cannot be specified, the disp function may be simpler to use in common than fprintf as it displays

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

Create a GUI that has A button to bring up a dialog to select a text file and read it in. Plot the x,y values on the GUI Have text entry values, one for each parameter, in which

The secant method is an iterative root nding method that is super-linear. The method has the advantage that it is faster than linear methods and does not require knowledge of the

using 0de 45 how can i get the anlytical and numerical solutions for an equation,,

Obtaining the Partial Fraction Expansion of the Z-Transform expression and to find its Inverse Z-Transforms using MATLAB

giv a malab code for offline signature veification and recognition

what are the steps we need to write in the script to get themedian for X values