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Prob 5 (continued): with message signal m(t): m(t) 10 cos(20mt) + 6 sin(60rt) (8 points) Write...
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt)....
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an LSB-AM signal. (a) Find and sketch the spectrum of m(t); determine and sketch the spectrum of mh (t) graphically; determine m,(t) by finding the inverse Fourier transform of the previous spectrum; determine the LSB-AM message signal expression. (b) Sketch the spectrum of the DSB-SC signal 2m(t) cos 2mfet; remove the upper sideband and sketch the resulting LSB spectrum; determine the LSB-AM message signal expression...
4. (20%) An AM modulator operates with the message signal m(t) - 9 cos(207t)-8 cos(60!). The unmodulated carrier is...
4. (20%) An AM modulator operates with the message signal m(t) - 9 cos(207t)-8 cos(60!). The unmodulated carrier is given by 110 cos 200r), and the system operates with an index of 0.8. (10%) (a) Given that the minimum value ofm(t) is-12.9, write the equation for m, (t). and determine the power of m,(r) (i.e.. m,())) (b) Determine the efficiency of the modulator 5%) (500) (c) Sketch the double-sided spectrum of the modulator output AM signal.
4. (20%) An AM...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(...
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...
3.8 An AM modulator operates with the message signal m(t)-9 cos(20π)--8 cos(60π) m(t) = 9 cos(20π)...
3.8 An AM modulator operates with the message signal m(t)-9 cos(20π)--8 cos(60π) m(t) = 9 cos(20π) + 8 cos(60x1) The unmodulated carrier is given by 110cos(200)Same steps with another signal. and the system operates with an index of 0.8 the system operates with an indet or (a) Write the equation for ma(t), the normalized sig- nal with a minimum value of- (b) Determine (m the power in m (c) Determine the efficiency of the modulator (d) Sketch the double-sided spectrum...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
4. [20 points] A modulating signal m(t) is given by m(t)-cos(100nt)cos(500nt): 1) [5 points] Sketch the...
4. [20 points] A modulating signal m(t) is given by m(t)-cos(100nt)cos(500nt): 1) [5 points] Sketch the spectrum of m(t). 2) [5 points] Find and sketch the spectrum of the DSB-SC signal 2m(t)cos(1000t). 3) [5 points] From the spectrum obtained in 2), suppress the LSB to obtain the USB spectrum and sketch it. 4) [5 points] Knowing the USB spectrum in 3), write the expression puse(t) for the USB signal For full credit, label frequencies and magnitudes of the spectra for...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amp...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amplitude spectrum, SPM(f), is shown below: Amplitude spectrum of the frequency modulated signal 2 -2 5000 4000 3000 2000 -1000 1000 2000 3000 4000 5000 frequency f [Hz] a) What is the carrier frequency fe? b) What is the message frequency fm c) What is the FM modulation index Bf? Is it a narrowband or a wideband signal? d) Using Carson's rule, estimate the transmission...
1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points)...
1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points) Derive the FM modulated signal s(t) for ky-2 (b) (25 points) Find the Fourier transform, S(), of s(t) (Sketch to scale). (c) (5 points) What is the bandwidth of the modulated signal s(t).
Consider the message signal m(t) = 20 sin c(40nt) and the carrier signal c(t) = 4...
Consider the message signal m(t) = 20 sin c(40nt) and the carrier signal c(t) = 4 cos(2007t). Sketch the spectrum and write the frequency-domain and time- domain expressions for a VSB modulated signal with a VSB filter characteristic as shown below. Note that Hyse (f)=(f -85)/30 for 85<f<115. Hys(f) A 0 85 100 115 130 f
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an LSB-AM signal. (a) Find and sketch the spectrum of m(t); determine and sketch the spectrum of mh (t) graphically; determine m,(t) by finding the inverse Fourier transform of the previous spectrum; determine the LSB-AM message signal expression. (b) Sketch the spectrum of the DSB-SC signal 2m(t) cos 2mfet; remove the upper sideband and sketch the resulting LSB spectrum; determine the LSB-AM message signal expression...
4. (20%) An AM modulator operates with the message signal m(t) - 9 cos(207t)-8 cos(60!). The unmodulated carrier is given by 110 cos 200r), and the system operates with an index of 0.8. (10%) (a) Given that the minimum value ofm(t) is-12.9, write the equation for m, (t). and determine the power of m,(r) (i.e.. m,())) (b) Determine the efficiency of the modulator 5%) (500) (c) Sketch the double-sided spectrum of the modulator output AM signal.
4. (20%) An AM...
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...
3.8 An AM modulator operates with the message signal m(t)-9 cos(20π)--8 cos(60π) m(t) = 9 cos(20π) + 8 cos(60x1) The unmodulated carrier is given by 110cos(200)Same steps with another signal. and the system operates with an index of 0.8 the system operates with an indet or (a) Write the equation for ma(t), the normalized sig- nal with a minimum value of- (b) Determine (m the power in m (c) Determine the efficiency of the modulator (d) Sketch the double-sided spectrum...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
4. [20 points] A modulating signal m(t) is given by m(t)-cos(100nt)cos(500nt): 1) [5 points] Sketch the spectrum of m(t). 2) [5 points] Find and sketch the spectrum of the DSB-SC signal 2m(t)cos(1000t). 3) [5 points] From the spectrum obtained in 2), suppress the LSB to obtain the USB spectrum and sketch it. 4) [5 points] Knowing the USB spectrum in 3), write the expression puse(t) for the USB signal For full credit, label frequencies and magnitudes of the spectra for...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amplitude spectrum, SPM(f), is shown below: Amplitude spectrum of the frequency modulated signal 2 -2 5000 4000 3000 2000 -1000 1000 2000 3000 4000 5000 frequency f [Hz] a) What is the carrier frequency fe? b) What is the message frequency fm c) What is the FM modulation index Bf? Is it a narrowband or a wideband signal? d) Using Carson's rule, estimate the transmission...
1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points) Derive the FM modulated signal s(t) for ky-2 (b) (25 points) Find the Fourier transform, S(), of s(t) (Sketch to scale). (c) (5 points) What is the bandwidth of the modulated signal s(t).
Consider the message signal m(t) = 20 sin c(40nt) and the carrier signal c(t) = 4 cos(2007t). Sketch the spectrum and write the frequency-domain and time- domain expressions for a VSB modulated signal with a VSB filter characteristic as shown below. Note that Hyse (f)=(f -85)/30 for 85<f<115. Hys(f) A 0 85 100 115 130 f
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