DTFT and Pulse
COMPLETE ALL PARTS HANDWRITTEN ONLY. ANSWER
EVERYTHING that they ask for (I.E. finding
x(t) or X(f) and so on)
Dtft And Pulse Complete All Parts Handwritten Only Answer Everything That They Ask For I E Finding X T Or X F And S 1 (291.51 KiB) Viewed 47 times
Dtft And Pulse Complete All Parts Handwritten Only Answer Everything That They Ask For I E Finding X T Or X F And S 2 (343.13 KiB) Viewed 47 times
(a). Given a tri-pulse signal x(t) and its Amplitude Spectrum |x(f)|shown in the first pair of pictures below, find the analytical repressions for x(t) and |*(), and use MATLAB to verify the FT pair-plots for a specific case with parameters: pulse-width T, = 10, max {x(t)}=1; and find and mark the value for X(0)= X(f) Is=o= ? and its zero-crossing points. 1-(t) IXDI a nhad (b). Now, let's make a periodic extension of the basic tri-pulse (with pulse- widthT, =10, max {x(t)} =1), so that the following periodic signal and its Amplitude FS relation holds. From the picture-pair below, find the relationship of the following values: 1. Period T= ? The spacing btw adjacent spectrum line ſi =? X(0)= X(nf) Ino = ? f*(t) || X (kf01 milioane 2. What happens to the spectrum line spacing when you make period T= 27; = 20 ? The period T= ? The spacing btw adjacent spectrum line fi =? X(0) = X(k fi) x-o = ?
(c). Now, let's sample the basic tri-pulse shown in (a) to get a discrete-time signal and its Amplitude DTFT pair shown below (with the same pulse- widthT, =10, max {x(t)}=1). Find the sampling period and the repetition frequency? T. = ? f. = ? Verify the pair of plots using MATLAB. 1x(n.) || X (f)1 - her (d). Now, Let's make periodic extension of the sampled signal in (C), so that the following DFT picture-pair holds. What are the connections among the following parameterst., Ty, fs, fi? What is the value N used in obtaining the DFT pair? 1x(nt.) ||X(kf.) 1 Lic. Inthan, TE7 T
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