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uct) 5c05/1800 tt ) +20 cos(2000nt) +500s(22oottt) 2 Plot the voltage spectrum of ult) given by...
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot...
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform,...
A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10²πt)) cos(106πt) volts.
A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10²πt)) cos(106πt) volts. a) Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform, Mout(f).
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...
()=< a) Consider the case where a modulating tone v, a cos(2ft) is used in a...
()=< a) Consider the case where a modulating tone v, a cos(2ft) is used in a Double Side Band m Amplitude Modulation (DSC-AM) scheme whose varying with time carrier amplitude is [K+a cos(2ft Provide the equation of the modulated carrier signal v (t and then derive from that an expression that shows the spectral components of v (t). Furthermore provide the phasor representation of DSB-AM. Now consider the case of Double Side Band Suppressed carrier AM and provide both the...
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 modula...
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....
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...
3(a) A complex signal given by the expression cos (9t x 103t) Vm(t) %3D 0.5cos(Зл х 103t) + сos(8т х 103t) + is used to...
3(a) A complex signal given by the expression cos (9t x 103t) Vm(t) %3D 0.5cos(Зл х 103t) + сos(8т х 103t) + is used to amplitude modulate a carrier signal, Vc(t) = 3cos(2n shown in Figure 3(a) 105t) as X Vm(t) 0.5cos(3t x 103t) cos(8T x 103t) AM Modulator AM Signal cos(9t x 10t) Vc(t) 3cos(2n x 105t) Figure 3(a) The AM signal in Question 3(a) is developed across 2.2 kn load resistance The modulated carrier in Question 3(a) is...
stion 2) [20 marks] Switching modulator is used to generate a modulated signal s(t) Assume m(t)...
stion 2) [20 marks] Switching modulator is used to generate a modulated signal s(t) Assume m(t) = 4πcos(Zhoot) and c(t) = 32cos(2m10,000t) i. [1 marks] What type of modulation can the above modulator generate? ii. [3 marks] Draw a block diagram of the switching modulator. iii. [1 marks] Find the bandwidth of m(t) iv. [3 marks] Sketch the spectrum of s(t), then find its bandwidth. v. [2 marks] Is the transmission over modulated? Explain. vi. 12 marks] Modi fy the...
Consider an AM system. The message signal is given by cos(1000t) volts. The modulated signal is (0.5+acos(1000m))cos(2π.) volts, where α is a positive coefficient, and fe is the carrier frequency. (a...
Consider an AM system. The message signal is given by cos(1000t) volts. The modulated signal is (0.5+acos(1000m))cos(2π.) volts, where α is a positive coefficient, and fe is the carrier frequency. (a) Determine the value of α when the modulation index is 100%. (b) Determine the value of α when the modulation index is 50%. (c) Determine the value of α when the modulation index is 200%. (6 marks) Continue from (1) and suppose α-05. Sketch the spectrum of the transmitted...
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?
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform,...
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) Consider the case where a modulating tone v, a cos(2ft) is used in a Double Side Band m Amplitude Modulation (DSC-AM) scheme whose varying with time carrier amplitude is [K+a cos(2ft Provide the equation of the modulated carrier signal v (t and then derive from that an expression that shows the spectral components of v (t). Furthermore provide the phasor representation of DSB-AM. Now consider the case of Double Side Band Suppressed carrier AM and provide both the...
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....
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...
3(a) A complex signal given by the expression cos (9t x 103t) Vm(t) %3D 0.5cos(Зл х 103t) + сos(8т х 103t) + is used to amplitude modulate a carrier signal, Vc(t) = 3cos(2n shown in Figure 3(a) 105t) as X Vm(t) 0.5cos(3t x 103t) cos(8T x 103t) AM Modulator AM Signal cos(9t x 10t) Vc(t) 3cos(2n x 105t) Figure 3(a) The AM signal in Question 3(a) is developed across 2.2 kn load resistance The modulated carrier in Question 3(a) is...
stion 2) [20 marks] Switching modulator is used to generate a modulated signal s(t) Assume m(t) = 4πcos(Zhoot) and c(t) = 32cos(2m10,000t) i. [1 marks] What type of modulation can the above modulator generate? ii. [3 marks] Draw a block diagram of the switching modulator. iii. [1 marks] Find the bandwidth of m(t) iv. [3 marks] Sketch the spectrum of s(t), then find its bandwidth. v. [2 marks] Is the transmission over modulated? Explain. vi. 12 marks] Modi fy the...
Consider an AM system. The message signal is given by cos(1000t) volts. The modulated signal is (0.5+acos(1000m))cos(2π.) volts, where α is a positive coefficient, and fe is the carrier frequency. (a) Determine the value of α when the modulation index is 100%. (b) Determine the value of α when the modulation index is 50%. (c) Determine the value of α when the modulation index is 200%. (6 marks) Continue from (1) and suppose α-05. Sketch the spectrum of the transmitted...
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?
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