Answer Happy

DTFT and Pulse
COMPLETE ALL PARTS IN MATLAB ONLY. ANSWER
ALL QUESTIONS (I.E. finding x(t) or X(f) and so
on)
If you complete parts a-d in maltab, you will get thumbs
up!
Simple answers are great!
(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