By Sanjit K. Mitra
This new textual content is designed for electric engineering majors with a focus in communications who've already taken a indications and platforms direction. electronic sign Processing: A Computer-Based process is additionally used for added examine on the graduate point and calls for just a minimum wisdom of MATLAB, that's used at size to coach the intricacies of challenge fixing.
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Extra resources for Digital Signal Processing: A Computer-Based Approach (Mcgraw-Hill Series in Electrical and Computer Engineering)
21 Write a MATLAB program to generate the impulse response of a causal LTI system of Eq. 17) using the filter command; compute and plot the first 40 samples. 20. 22 Write a MATLAB program to generate and plot the step response of a causal LTI system of Eq. 11). Using this program compute and plot the first 40 samples of the step response of the LTI system of Eq. 15). 6 Cascade of LTI Systems In practice a causal LTI discrete-time system of higher order is implemented as a cascade of lower order causal LTI discrete-time systems.
4 Discrete-Time Fourier Transform The discrete-time Fourier transform (DTFT) X(ejω ) of a sequence x[n] is a continuous function of ω. Since the data in MATLAB is in vector form, X(ejω ) can only be evaluated at a prescribed set of discrete frequencies. Moreover, only a class of the DTFT that is expressed as a rational function in e−jω in the form X(ejω ) = p0 + p1 e−jω + . . + pM e−jωM , d0 + d1 e−jω + . . 31) can be evaluated. In the following two projects you will learn how to evaluate and plot the DTFT and study certain properties of the DTFT using MATLAB.
There are two versions of this function. fft(x) computes the DFT X[k] of the sequence x[n] where the length of X[k] is the same as that of x[n]. fft(x,L) computes the L-point DFT of a sequence x[n] of length N where L ≥ N . If L > N , x[n] is zero-padded with L − N trailing zero-valued samples before the DFT is computed. The inverse discrete Fourier transform (IDFT) x[n] of a DFT sequence X[k] can likewise be computed using the function ifft, which also has two versions. 23 Write a MATLAB program to compute and plot the L-point DFT X[k] of a sequence x[n] of length N with L ≥ N and then to compute and plot the L-point IDFT of X[k].