Unformatted text preview: N , of x [ n ], and what are its FS coeﬃcients? (b) Using Matlab, create several periods of x [ n ] and apply it as an input to f4.m . Plot the input and output signals. (c) Determine the impulse response of f4.m and, from that, determine the frequency response of the system, H (e jkω ), for k = 0 , 1 , 2 , 3. (d) Use the result of part (c) to determine the system output from x [ n ]. Plot several periods of the output, and compare the results to part (b). 10. [15] Consider a continuoustime system with impulse response h ( t ) = eαt u ( t ), where α > 0, and a periodic input function: x ( t ) = ± 1 , < t < 1 , 1 ≤ t ≤ T, where T = 4. Determine the output of the system by ﬁrst determining the FS representation of the input signal and then determining the frequency response of the system, H ( jω ). Using Matlab, plot at least two periods of the input and output functions for  k  ≤ 21. 1...
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 Winter '06
 Steel
 matlab, Digital Signal Processing, Fourier Series, FS coefficients, Matlab function fft

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