![Exercise 1: An AM has the following form X1n(t) 105 Hz. [20 + 2 cos(3000mt) + 10 cos(6000r)] cos(2nkt) where fc a) Sketch the](http://img.homeworklib.com/questions/0a3d3ce0-79be-11eb-a423-b9b3c6c51e24.png?x-oss-process=image/resize,w_560)
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Exercise 1: An AM has the following form X1n(t) 105 Hz. [20 + 2 cos(3000mt) +...
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message...
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message as given in equation: s(t) Ae[1 + m (cos w,t + cos2m t)] cos at, P2. From the result in question Pl give an expression for the AM signal s(t) as the real part of complex exponentials Sketch a rotating phasor diagram for s(t) using the carrier frequency as a reference Р3. Write down the Fourier transform of s(t) in question P1. Sketch the...
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message...
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message as given in equation: s(t) Ae[1 + m (cos w,t + cos2m t)] cos at, P2. From the result in question Pl give an expression for the AM signal s(t) as the real part of complex exponentials Sketch a rotating phasor diagram for s(t) using the carrier frequency as a reference Р3. Write down the Fourier transform of s(t) in question P1. Sketch the...
Please answer these 4 questions because they are related to each other. Thanks:) Question 2 (Total...
Please answer these 4 questions because they are related to each
other. Thanks:)
Question 2 (Total 20 marks) (a) Given an AM signal Vam (t)=5[10+ cos(1000xt) ]cos(30000īt) volts is fed to a 1000 load. Determine (i) the average power in the carrier; (ii) the average power in the upper sideband (iii) the ratio of the power in sidebands to the power in the carrier. (6 marks) (b) For the AM signal given in part (a), sketch its double-sided amplitude spectrum...
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The...
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The modulated signal is u(t) = 200 m(t) cos(21tfct), where f=1 MHz. 1. Determine and sketch the spectrum of the AM signal. 2. Determine the average power in the frequency components 3. Find a resonable choice of R and C to design an envelope detector for this DSB-SC AM signal.
Assume that an AM transmitter is modulated with a video testing signal given by em(t) =...
Assume that an AM transmitter is modulated with a video testing signal given by em(t) = =20 + 60 sin (2πf1t), where f1 = 3.57 MHz. Let the carrier signal c(t) = Ac cos(2πfct), where Ac = 100 and fc = 100 MHz. The AM signal is fed into a 50-Ω load. (a) Derive an expression for the AM DSB-FC signal in time domain. (b) Construct the AM waveform, giving numerical values of the maximum amplitude, Amax and the minimum...
3.14 The output signal from an AM modulator is 11 (1)-5 cos l 800π t +...
3.14 The output signal from an AM modulator is 11 (1)-5 cos l 800π t + 20 cos 2000π t + 5 cos 2200 π . 1. Determine the modulating signal m() and the carrier c (t) 2. Determine the modulation index. 3. Determine the ratio of the power in the sidebands to the power in the carrier.
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...
2. For a message sigual given by mit) = cos 1ooont and a carrier fc =...
2. For a message sigual given by mit) = cos 1ooont and a carrier fc = 100kite] 2.1. Write an expression for an AM signal with 50 [w] of power in the carrier component and a modulation index of 50%. 2.2. sketch the signal pourt a.l.to scale versus stime 2.3. sketch the amplitude spectrum of the signal of part 2.1. to scale 2.4. Find the power in each of the frequency components for the signal in a.l. Hint: g6t) =...
When a baseband signal m(t) = cos(1000t)cos(3000t) is AM modulated using a carrier cos(10,000t), a) Find the...
When a baseband signal m(t) = cos(1000t)cos(3000t) is AM modulated using a carrier cos(10,000t), a) Find the frequency components in the baseband signals and in the AM signal. [2] b) Sketch the spectrum, carefully label the graph. c) Find the power efficiency, n. [1] [1]
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...
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message as given in equation: s(t) Ae[1 + m (cos w,t + cos2m t)] cos at, P2. From the result in question Pl give an expression for the AM signal s(t) as the real part of complex exponentials Sketch a rotating phasor diagram for s(t) using the carrier frequency as a reference Р3. Write down the Fourier transform of s(t) in question P1. Sketch the...
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message as given in equation: s(t) Ae[1 + m (cos w,t + cos2m t)] cos at, P2. From the result in question Pl give an expression for the AM signal s(t) as the real part of complex exponentials Sketch a rotating phasor diagram for s(t) using the carrier frequency as a reference Р3. Write down the Fourier transform of s(t) in question P1. Sketch the...
Please answer these 4 questions because they are related to each
other. Thanks:)
Question 2 (Total 20 marks) (a) Given an AM signal Vam (t)=5[10+ cos(1000xt) ]cos(30000īt) volts is fed to a 1000 load. Determine (i) the average power in the carrier; (ii) the average power in the upper sideband (iii) the ratio of the power in sidebands to the power in the carrier. (6 marks) (b) For the AM signal given in part (a), sketch its double-sided amplitude spectrum...
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The modulated signal is u(t) = 200 m(t) cos(21tfct), where f=1 MHz. 1. Determine and sketch the spectrum of the AM signal. 2. Determine the average power in the frequency components 3. Find a resonable choice of R and C to design an envelope detector for this DSB-SC AM signal.
3.14 The output signal from an AM modulator is 11 (1)-5 cos l 800π t + 20 cos 2000π t + 5 cos 2200 π . 1. Determine the modulating signal m() and the carrier c (t) 2. Determine the modulation index. 3. Determine the ratio of the power in the sidebands to the power in the carrier.
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...
2. For a message sigual given by mit) = cos 1ooont and a carrier fc = 100kite] 2.1. Write an expression for an AM signal with 50 [w] of power in the carrier component and a modulation index of 50%. 2.2. sketch the signal pourt a.l.to scale versus stime 2.3. sketch the amplitude spectrum of the signal of part 2.1. to scale 2.4. Find the power in each of the frequency components for the signal in a.l. Hint: g6t) =...
When a baseband signal m(t) = cos(1000t)cos(3000t) is AM modulated using a carrier cos(10,000t), a) Find the frequency components in the baseband signals and in the AM signal. [2] b) Sketch the spectrum, carefully label the graph. c) Find the power efficiency, n. [1] [1]
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...
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