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).


(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
A fence enclosure consists of a rectangle of length L and width 2 R , and a semicircle of radius R , as shown in Figure 1. The enclosure is to be built to have an area of 1600 m

Rules for variable names: In addition, the variable names must always be mnemonic that means they should make some sense. For illustration, if the variable is storing the radi

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

Order of precedence: As with the numerical operators, it is significant to know that the operator precedence rules. Table below shows the rules for the operators which  have b

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

Make a vector of 500 random numbers from a normal distribution with mean 2 and standard deviation 5(randn). a After you generate the vector, verify that the sample mean and stan

Design and implement Binary digital modulation for a specific input signal frequency, sampling frequency and signal level for binary frequency shift keying (BFSK) by applying MATLA

Common form of a function definition: The common form of a function definition for a function which computes and returns one value looks like this: For illustration, t

hi i have this programm function [IRN,number ] = randnumbers( IRN ) IRN=int32(IRN) ITOTAL=(IRN*330)+100 ITOTAL=int32(ITOTAL); IQUOTIENT=ITOTAL/2303 IQUOTIENT=int32(IQUOTIENT);

how to write a program to determine the day of the week. using GUI.