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2. Sketch the frequency spectrum of the AM signals: (a) s (t) 10cosoct cosomt (b) s...
a) An AM radio station is transmitting a message signal, x(thwhose frequency spectrum shown in Fig....
a) An AM radio station is transmitting a message signal, x(thwhose frequency spectrum shown in Fig. 1(a) using a carrier radian frequency of Qe=1000 rad/sec as shown in Fig 1(b). i) Sketch the spectra of the message at the output of the transmitter. X(w) 10 -2007 2007 W rad sec Fig. 1(a) xt) х m COS Transmitter Fig. 1(b) b) If two neighboring AM stations also transmit signals of the same bandwidth, what must be their carrier frequencies to avoid...
AMPLITUDE MODULATION 1. Study in time and frequency domains of AM signals This AM signal is...
AMPLITUDE MODULATION 1. Study in time and frequency domains of AM signals This AM signal is represented below The x-axis has graduations in 10 seconds and y-axis has graduations in volts. 1.1 From this time display, find the values of Ach and μ. Give the name of these parameters. Comment on the waveform of the message signal, find its frequency f 1.2 Draw the amplitude spectrum IS(DI with a bilateral representation. Put graduations on the axes (in hertz and volt)....
Problem 3. (25 points) Two signals are multiplied as follows yf(t) clt) 2? where c(t) is...
Problem 3. (25 points) Two signals are multiplied as follows yf(t) clt) 2? where c(t) is the impulse train, c(t) = ??(t-k, with T = (a) (15 points) Let the spectrum of x(t) be sec. 3000 x(o) -1000 1000 Sketch the spectrum of y(t), Y(a). Can x(0) be recovered from y(t) using lowpass filtering? Why or why not? (b) (10 points) Repeat part (a) if the spectrum of x(0) is Ar(o) 2000 2000 and cu) remains the same. Can x(t)...
Use the frequency-shift rule to find the spectrum of the signal x(t) = s(t) cos(2π(770, 000)t)...
Use the frequency-shift rule to find the spectrum of the signal x(t) = s(t) cos(2π(770, 000)t) , where s(t) = 7 − 3 cos(2π(1000)t + π/7). I know the relative "definition" of the frequency shift rule, I am just very confused as to how to apply it.
(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 bel...
(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...
TO 2, the signal m(t) 20 sinc ( 400't) is an input to a ring modulator...
TO 2, the signal m(t) 20 sinc ( 400't) is an input to a ring modulator with carrier frequency 10 fm where fm is the maximum frequency of m(t)} (a) Draw the block diagram of the used ring modulator and write down equation of the output signal of the modulator (b) Sketch spectrum of the modulated transmitted AM signal (c) Sketch the corresponding VSB AM spectrum with 25% of visitgal band relative to the other band.
TO 2, the signal...
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum...
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
Q5. Sketch the following signals. a) x[n] = 2X=o S[n – 2k] b) x(t) = Sto?...
Q5. Sketch the following signals. a) x[n] = 2X=o S[n – 2k] b) x(t) = Sto? 8(t – 2) dt
2. Determine the CTFT of the following signals, then plot the magnitude spectrum (a) X(t) e2lt|...
2. Determine the CTFT of the following signals, then plot the magnitude spectrum (a) X(t) e2lt| (b) X(t) ea u(t), a > 0 (c) X(t) e4 (d) X(t) 6(t-3)
2. Determine the CTFT of the following signals, then plot the magnitude spectrum (a) X(t) e2lt| (b) X(t) ea u(t), a > 0 (c) X(t) e4 (d) X(t) 6(t-3)
Problem 3:(3.7) Using the defining equation for the FT, evaluate the frequency-domain representation (frequency spectrum) for...
Problem 3:(3.7) Using the defining equation for the FT, evaluate the frequency-domain representation (frequency spectrum) for the following signals. Simplify into the form X(ja)-Kga) ejLXja) Sketch the magnitude (|X(juo)) and phase (ZX(j)) spectra for each. -3t (a) x1(t) etut-1) (b) X2(t) e-Itl (c) x3(t) te2u(t)
a) An AM radio station is transmitting a message signal, x(thwhose frequency spectrum shown in Fig. 1(a) using a carrier radian frequency of Qe=1000 rad/sec as shown in Fig 1(b). i) Sketch the spectra of the message at the output of the transmitter. X(w) 10 -2007 2007 W rad sec Fig. 1(a) xt) х m COS Transmitter Fig. 1(b) b) If two neighboring AM stations also transmit signals of the same bandwidth, what must be their carrier frequencies to avoid...
AMPLITUDE MODULATION 1. Study in time and frequency domains of AM signals This AM signal is represented below The x-axis has graduations in 10 seconds and y-axis has graduations in volts. 1.1 From this time display, find the values of Ach and μ. Give the name of these parameters. Comment on the waveform of the message signal, find its frequency f 1.2 Draw the amplitude spectrum IS(DI with a bilateral representation. Put graduations on the axes (in hertz and volt)....
Problem 3. (25 points) Two signals are multiplied as follows yf(t) clt) 2? where c(t) is the impulse train, c(t) = ??(t-k, with T = (a) (15 points) Let the spectrum of x(t) be sec. 3000 x(o) -1000 1000 Sketch the spectrum of y(t), Y(a). Can x(0) be recovered from y(t) using lowpass filtering? Why or why not? (b) (10 points) Repeat part (a) if the spectrum of x(0) is Ar(o) 2000 2000 and cu) remains the same. Can x(t)...
(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...
TO 2, the signal m(t) 20 sinc ( 400't) is an input to a ring modulator with carrier frequency 10 fm where fm is the maximum frequency of m(t)} (a) Draw the block diagram of the used ring modulator and write down equation of the output signal of the modulator (b) Sketch spectrum of the modulated transmitted AM signal (c) Sketch the corresponding VSB AM spectrum with 25% of visitgal band relative to the other band.
TO 2, the signal...
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the sampled signal if the sampling rate is 25% higher than the Nyquist rate. a.) ft)sinc E 2T 10 b.) h)=sinc 2T For all the following, use ft) given in part a.) c.) glt)= f(l-7) d.) c(t)- f)cos() 1 e.) x(t)= fit)+ _ sinc (t
4. Find the Nyquist rate for the following signals. For each case sketch the magnitude spectrum of the...
Q5. Sketch the following signals. a) x[n] = 2X=o S[n – 2k] b) x(t) = Sto? 8(t – 2) dt
2. Determine the CTFT of the following signals, then plot the magnitude spectrum (a) X(t) e2lt| (b) X(t) ea u(t), a > 0 (c) X(t) e4 (d) X(t) 6(t-3)
2. Determine the CTFT of the following signals, then plot the magnitude spectrum (a) X(t) e2lt| (b) X(t) ea u(t), a > 0 (c) X(t) e4 (d) X(t) 6(t-3)
Problem 3:(3.7) Using the defining equation for the FT, evaluate the frequency-domain representation (frequency spectrum) for the following signals. Simplify into the form X(ja)-Kga) ejLXja) Sketch the magnitude (|X(juo)) and phase (ZX(j)) spectra for each. -3t (a) x1(t) etut-1) (b) X2(t) e-Itl (c) x3(t) te2u(t)
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