The signal spectra at point (a) is given to you in the figure (b) below. Determine...
[15 points] You are asked to design a DSB-SC AM modulator to generate a modulated signal km(t)cos(wt+0), where m(t) is a signal band-limited to B Hz. The following figure shows a DSB- SC AM modulator available in the stockroom. The carrier generator available generates not cos(wct), but cos (wct). Explain whether you would be able to generate the desired signal using only this equipment. You may use any kind of filter you like. 3. What kind of filter is required...
Cny e upper sldeband (uSB) and lower sideband (LSB) spectra. (5 polnts) Al 2. Figure-1 below shows a DSB-SC modulator. The carrier avaliable at the multiplier is a distorted sinusoid given by c(t)- Cos3(wet). The spectrum of m(t) is shown in Figure-2 M(f) m(t) Fllter -В c(t) Figure-2 Figure 1 a. Determine the signals and sketch their spectra at points b and c. (5 points). b. What kind of filter is required in Figure-1? Verify your answer. (5 points). c....
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
7. [20 points] Two signals mi(t) and m2(t) shown in the figure below have to be transmitted simul taneously over a channel by multiplexing. The signal at point b is the multiplexed signal, which modulates a carrier of frequency 20 kHz. The modulated signal at point c is then transmitted over the channel. (a) Sketch the spectra of the signals at points a, b and e An Mar) 42 2 cos(20, 000mt) (b) What must be the bandwidth of the...
Problem 2 120 pointsl: For the multiplexing system shown in the figure M1(o) MiC) -5000 M2(0) m20) 2 cos 20,000 0 5000 0) 2 cos 10,000 Sketch signal spectra at points a, b, and c. a. b. What ust be the bandwidth of the channel in rad/sec? (i.e. what is the total bandwidth at point c. c. Design a coherent receiver to recover signals m() and m() from the modulated signal at point (In other words, sketch the block diagram...
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...
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
below is used to modulate a carrier to generate the AM signal yt) (Am()) cos(1000t) The periodic signal m() shown a) The power efficiency of the system is measured to be 1 () The type of AM modulation, i.e. SSB, DSBSC, (i) The constant A. (ili) The modulation index 1/13. Determine DSB with carrier enit -3 b) An angle modulated signal is given by d(t-2 cos (2n1061+ sin 2 1000). Find i) The carrier frequency. ii) The baseband signal bandwidth....
Consider the input signal x(t) with Fourier transformation X(w) as shown in the figure below where WM = 100 rad/s. The sampling frequency ws = 200 rad/s. The filter H(w) has a cut- off frequency we = 100 rad/s a) [10 points) Plot the signal P(0) b) [15 points] Plot the signal Xplo) c) [10 points] Plot the output signal X-(0) pt) - 281t - nT) x(t) H(jw) X Hij M You need to show all the steps that lead...
6- A continuous-time periodic signal r(t) is given graphically below (a) Determine the exponential Fourier coefficients c for k+oo r(t) Cet k=-oo where ck is given by T/2 x(t)ejkwotdt -T/2 Ск T (b) (t) is applied as an input to an LTI system whose frequency response is H(jw)2 sin(w) = Determine the corresponding output y(t) (c) Sketch y(t). Be re to mark the ces properly su x(t)t 0 -T 6- A continuous-time periodic signal r(t) is given graphically below (a)...