LABEX4 - Name Section Laboratory Exercise 4 LINEAR...

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June 20, 1998 Name : Section : Laboratory Exercise 4 LINEAR, TIME-INVARIANT DISCRETE-TIME SYSTEMS: FREQUENCY-DOMAIN REPRESENTATIONS 4.1   TRANSFER FUNCTION AND FREQUENCY RESPONSE Project 4.1  Transfer Function Analysis Answers: Q4.1    The modified Program P3_1 to compute and plot the magnitude and phase spectra of a moving  average filter of Eq. (2.13) for ϖ 2 π  is shown below : < Insert program code here.  Copy from m-file(s) and paste. > This   program   was   run   for   the   following   three   different   values   of   M and   the   plots   of   the  corresponding frequency responses are shown below : < Insert MATLAB figure(s) here.  Copy from figure window(s) and paste. > The types of symmetries exhibited by the magnitude and phase spectra are due to - The type of filter represented by the moving average filter is - The results of Question Q2.1 can now be explained as follows  - Q4.2 The plot of the frequency response of the causal LTI discrete-time system of Question Q4.2  obtained using the modified program is given below : < Insert MATLAB figure(s) here.  Copy from figure window(s) and paste. > The type of filter represented by this transfer function is - Q4.3 The plot of the frequency response of the causal LTI discrete-time system of Question Q4.3  obtained using the modified program is given below : < Insert MATLAB figure(s) here.  Copy from figure window(s) and paste. > The type of filter represented by this transfer function is - 1
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The difference between the two filters of Questions 4.2 and 4.3 is  - I shall choose the filter of Question Q4. ___ for the following reason - Q4.4 The   group   delay   of   the   filter   specified   in   Question   Q4.4   and   obtained   using   the   function  grpdelay is shown below : < Insert MATLAB figure(s) here.  Copy from figure window(s) and paste. > From this plot we make the following observations : Q4.5 The plots of the first 100 samples of the impulse responses of the two filters  of Questions 4.2  and 4.3 obtained using the program developed in Question Q3.50 are shown below : < Insert MATLAB figure(s) here.  Copy from figure window(s) and paste. > From these plots we make the following observations : Q4.6 The pole-zero plots of the two filters of Questions 4.2 and 4.3 developed using zplane are  shown below : < Insert MATLAB figure(s) here.  Copy from figure window(s) and paste. > From these plots we make the following observations : 4.2   TYPES OF TRANSFER FUNCTIONS Project 4.2 Filters A copy of Program P4_1 is given below : < Insert program code here.  Copy from m-file(s) and paste. > Answers: Q4.7 The plot of the impulse response of the approximation to the ideal lowpass filter obtained using 
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This note was uploaded on 12/11/2009 for the course DCC 34 taught by Professor Antonio during the Spring '09 term at Pontifical Catholic University of Peru.

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LABEX4 - Name Section Laboratory Exercise 4 LINEAR...

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