![5-20pts) Let s(t) be an angle-modulated signal that a receiver obtains. s(t) 2cos(10rt +2sin(2000mt)+3sin(1000mt)] a) Find t](http://img.homeworklib.com/images/dac274ad-9fb4-4b8d-bbbc-cf4bca02a871.png?x-oss-process=image/resize,w_560)
b) If s() is sent to an (ideal) envelope detector, find the detector output signal. c) If s(t) is first differentiated before the envelope detector, find the detector output signal. d) Explain which detector output can be processed to yield the message signal m() and find the message signal m() if ky- 200π.
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5-20pts) Let s(t) be an angle-modulated signal that a receiver obtains. s(t) 2cos(10'rt +2sin(200...
b) The figure below shows an FM demodulator. s'(t)Envelope detector Demodulated signal s(t) Differentiator Figure 4: Question 2(b) In the system above, the differentiator performs the time-differ...
b) The figure below shows an FM demodulator. s'(t)Envelope detector Demodulated signal s(t) Differentiator Figure 4: Question 2(b) In the system above, the differentiator performs the time-differentiation operation s'(t) = as(t). Also, the envelope detector is assumed to be ideal, capable of extracting the envelope of the incoming signal perfectly. Describe, by equations, how the above FM demodulator may exactly recover the message signal from the FM signal. (6%) (c) Is the FM demodulator in Question 2(b) a coherent detector,...
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,...
Communication systems d) The angle modulated signal is presented as = 1008 (2*10*4 +0.5sin(10*x+)) 1. Find...
Communication systems
d) The angle modulated signal is presented as = 1008 (2*10*4 +0.5sin(10*x+)) 1. Find and determine the frequency modulated signal x(C) with k, = 5. (5 marks) II. Calculate and find out the message signal m(t). (5 marks) e) A 40 MHz carrier is frequency-modulated by a sinusoidal signal with mascimum frequency deviation of 500 KHz. I. Find and calculate the approximate bandwidth of the FM signal the frequency of the message signal is 1 kHz. (5 marks)...
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).
Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted...
Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted from a location 'A' to its destination 'B' using a carrier signal given by c(t)=2cos(10000#t). The signal s() m(t)c(i) is the modulated signal which will be transmitted. Consider that the signal is transmitted through a noiseless channel and received at the receiver at location 'B' as the signal s(t). Based on this information, perform the following tasks. 1. Find, sketch and label the spectrum...
Problem 1: An angle modulated waveform is given as s(t)=A_cos (1000 at +8071 +3204) where 0.=10001...
Problem 1: An angle modulated waveform is given as s(t)=A_cos (1000 at +8071 +3204) where 0.=10001 , max|m(t)=3 , and m(t)=0,+<0. In a previous ICE, we determined that if the signal is phase modulated (PM), the phase sensitivity is k= 4001 - 133.31 , the message signal is m(t)=1 12 and the frequency deviation is Am=-80 tn 5-55.51 . Similarly, if the signal is frequency modulated (FM), the frequency sensitivity is kr , the message signal is m(t)==3(3), and the...
5) given the following PM modulated signal equation, determine the original message equation, m(t) . s(t)=...
5) given the following PM modulated signal equation, determine the original message equation, m(t) . s(t)= 3.5cos(2π2E9t + 0.5cos(2π6000t)), Kp=0.1 (hz/v) a) m(t)=0.16cos(2π6000t) b) m(t) = 5cos(2π6E3t) c) m(t) = 5cos(2π2E9t) d) m(t) = 0.16cos(2π2.4E9t) 6) given the following message and carrier waves. Determine the AM signal equation and (DSB-LC) bandwidth: m(t) =2sin(2π10KHz*t). c(t) =3sin(2π2.4E9Hz*t) a) 5[1+0.6sin(200πt)]sin(2π10E9t), BW=10kHz b) 3[1+0.67 sin(2π10E3t)]sin(2π2.4E9t), BW=20kHz c) 3[1+0.6sin(2.4GHz*πt)]sin(2π10E3Hz*t), BW=20kHz d) 3[1+1.67 sin(2π50t)]sin(2π10E9tt), BW=10kHz 7) amplitude used in a communication path will increase both signal...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet)...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f ar...
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f are kf = 105, kp-25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown...
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).
b) The figure below shows an FM demodulator. s'(t)Envelope detector Demodulated signal s(t) Differentiator Figure 4: Question 2(b) In the system above, the differentiator performs the time-differentiation operation s'(t) = as(t). Also, the envelope detector is assumed to be ideal, capable of extracting the envelope of the incoming signal perfectly. Describe, by equations, how the above FM demodulator may exactly recover the message signal from the FM signal. (6%) (c) Is the FM demodulator in Question 2(b) a coherent detector,...
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,...
Communication systems
d) The angle modulated signal is presented as = 1008 (2*10*4 +0.5sin(10*x+)) 1. Find and determine the frequency modulated signal x(C) with k, = 5. (5 marks) II. Calculate and find out the message signal m(t). (5 marks) e) A 40 MHz carrier is frequency-modulated by a sinusoidal signal with mascimum frequency deviation of 500 KHz. I. Find and calculate the approximate bandwidth of the FM signal the frequency of the message signal is 1 kHz. (5 marks)...
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).
Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted from a location 'A' to its destination 'B' using a carrier signal given by c(t)=2cos(10000#t). The signal s() m(t)c(i) is the modulated signal which will be transmitted. Consider that the signal is transmitted through a noiseless channel and received at the receiver at location 'B' as the signal s(t). Based on this information, perform the following tasks. 1. Find, sketch and label the spectrum...
Problem 1: An angle modulated waveform is given as s(t)=A_cos (1000 at +8071 +3204) where 0.=10001 , max|m(t)=3 , and m(t)=0,+<0. In a previous ICE, we determined that if the signal is phase modulated (PM), the phase sensitivity is k= 4001 - 133.31 , the message signal is m(t)=1 12 and the frequency deviation is Am=-80 tn 5-55.51 . Similarly, if the signal is frequency modulated (FM), the frequency sensitivity is kr , the message signal is m(t)==3(3), and the...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f are kf = 105, kp-25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown...
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