Question

1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos a. plot m(t) İHint plot the portion for n+0 first, then n" 1, then n:2,-) b. Determine the average message power c. Plot sAN d. Determine modulation index and modulation power etficiency For the baseband signal as in Problem 1, 3. Give block diagram to generate SSB modulated signal Plot signal spectrum at the input and output of each block. ส. b. Give block diagram to generate and receive vestigial modu ated signal Plot signal spectrum at the input and output of each block For Problem 3(b), what's the relationship of the vestigial shaping filter at the transmitter and the equalizer filter at the receiver? c. 4. A second order PLL is implemented with a loop fiter)where s is very smali . Determine the transfer function between @,(s) and e (s) b. Find the steady state PLL phase error for an incoming phase e, (e)s (au-aer + on AKH(s) Given a message m(t) as plotted below 5. 10" .kr a. Determine the expressions of the FM and PM modulated signal, with 25 10 k b. Sketch the time demain waveforms of the FM and PM modulated signal, with 10, k 105, kp 25, label frequency in different time regions 1.5 0 0015 0.001s

Answer 1

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