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Repeat Problem 3-16 if the gating signal is a periodic pulse train that turns on the...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
Find and sketch the magnitude spectra for the periodic triangular pulse train signal x() shown below:
2. Find and sketch the magnitude spectra for the periodic square pulse train signal x(t) shown in the figure below for a) d = T/4 and b) d = 7/8
A Pulse Amplitude Modulated (PAM) signal is generated by naturally sampling a triangular wave of amplitude 3 volt peak and frequency 1 KHz as shown in Figure 4 by a pulse train of frequency 4 kHz with a pulse width of 0.025 ms. Draw the sampled waveform Message signal 3V 1 ms tms 3V-- (9 Marks) Figure 4
A Pulse Amplitude Modulated (PAM) signal is generated by naturally sampling a triangular wave of amplitude 3 volt peak and frequency 1...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
4) a. A signal g(t) = 20 cos 50nt.cos 220nt is sampled by a pulse train of frequency 250Hz. i. Calculate the Nyquist rate for the signal g(t). (4 Marks) ii. Sketch the spectrum of the resulting sampled signal. (5 Marks) iii. Specify the minimum cutoff frequency of the ideal reconstruction filter so as to recover g(t) from its sampled signal. (3 Mark) b. A signal in the frequency range 350 to 3500Hz is limited to peak to peak swing...
An information signal m(t) has highest frequency of W Hz and is sampled using a periodic pulse train p(t) made up of a rectangular pulse of width 1/8W seconds repeating at the Nyquist rate. a) Expand p(t) using a Fourier series expansion and use it to write the form for the sampled information signal mp(t). Put your result in the simplest possible terms. You may assume that p(t) is symmetric about t = 0. b) How would you recover m(t)...
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T (centered about the origin). The radio-frequency (RF) pulse defined by s(t) = {4_cos(wt), -āsts 1 0. Otherwise a) Drive a formula for the spectrum of s(t) and v(t) assuming that WT. >> 211 b) Sketch the magnitude spectrum of s(t) for w.T. = 20 The below figure describing the modulation and the demodulation of the m(t) signal. VO mo Product modulator Product modulator Low-pass...
need problem 6.13 done.
12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
We are given the following signal (t), which is also known as "infinite train” of Dirac delta functions. w(t) 2 t(ms) -20 -10 10 10 20 30 Page 1 of 4 a) (5 points) Write a mathematical expression for w(t) in the time domain. b) (10 points) Find the Fourier coefficients of the signal using the definition and its Fourier transform W (f) [Note that results without correct derivation will get minimal points). c) (3 points) Sketch the signal magnitude...