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) using subplot.

(b) For an input of x(t) =5 cos(100πt) sampled at fs=250Hz,  plot the input and the output of the filter on a single plot. Use a sample input vector of 100 points. Annotate the plot showing the gain and phase shift caused by the filter. State how these values relate to the plot of part (a).

(c) Submit your source code and subplots.

(a) Using Matlab, find and plot the magnitude of the DTFT of 10 samples of x(n) for n=[0:1:9] of x(n) = cos(2*pi*f1*n) + cos(2*pi*f2*n)  for f1=0.22 and f2=0.24 and pad zeros to get 100 samples. Let the frequency axis run from 0 to 2 in pi units. Use 500 frequency points to plot the DTFT.

(b) Using Matlab, overlay on the plot the magnitude of the DFT coefficients X_k vs frequency in pi units for a 100 point transform of this set of samples.

(c) Find the DFT frequency resolution. On the plot, indicate where f1 and f2 are on the frequency axis.

(d)  Now use 100 sample points of the waveform with no zero padding in the DFT magnitude plot. Annotate this  plot and indicate the frequencies f1 and f2 present in the wave form.

(e) Title the plots and label the axes appropriately. Submit the plots along with the source code.

Posted Date: 3/9/2013 1:34:04 AM | Location : United States

Ask an Expert

Related Discussions:- Find and plot the magnitude of the dtft, Assignment Help, Ask Question on Find and plot the magnitude of the dtft, Get Answer, Expert's Help, Find and plot the magnitude of the dtft Discussions

Write discussion on Find and plot the magnitude of the dtft
Your posts are moderated

Write your message here..

Related Questions

Solving 1st order differential equations, Hi, I need help with solving five... Hi, I need help with solving five-1st order ODE which are coupled. I need to plot these as well. Could I please get a quote. Thanks

EMG, How to make EMG analysis by Matlab? How to make EMG analysis by Matlab?

Rc phase shift oscillater, design a rc phase shift oscillator for a particu... design a rc phase shift oscillator for a particular frequency of oscillation and generate a sinusoidal signal

Calculate the distance between the two cars, Two cars started to move from ... Two cars started to move from zero position with (φ = 35) as shown. For the next four minutes, do the following: 1. Calculate each car's distance from the zero position (Distanc

write a matlab program to generate and plot the signal, 1.      Write a MA... 1.      Write a MATLAB program to generate and plot the signal                                     x1(n) = [3 2 -2 0 7],  n = 0,1,2,3,4. 2.      Write a MATLAB program to gen

Missing commands, hey ! why the command sawtooth and square does not exist ... hey ! why the command sawtooth and square does not exist in Matlab R2012a?

Recognizing people in video based on their body", I am doing project "Recog... I am doing project "Recognizing people in video based on their body" the system will use MATLAB to detect people based on thier body and then recognize them from their clothes "us

Alex Takahashi, I need assistance in learning on how to do simulation of sy... I need assistance in learning on how to do simulation of system described with an algebraic equations.

Variable number of output arguments - function, Variable number of output a... Variable number of output arguments: The variable number of output arguments can also be identified. For illustration, the one input argument is passed to the below function t

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