Consider the message signal m(t):
Consider the message signal m(t):
a. Sketch the AM signal u(t)=[ A + m(t) ] Cos(wct) for modulation indexes μ = 0.5 and μ = 2.0 by assuming the carrier frequency to be much higher than the bandwidth of m(t)
b. Determine the efficiency percentage (η = ps/pt) for μ = 0.5. Herein, Ps and Pt are sideband and total powers respectively, and Pt= Ps + Pc , in which Pc is the carrier power.
Hint : Take into account the Parseval's property.
c. If the AM waveforms corresponding to two values of μ are applied to an envelope detect sketch the detector output. Compare the output signals, and also comment on how you c get rid of DC voltage at the output of envelope detector. (5 points). c.
the MATLAB code for the generation of modulated signal for μ: Os, duration of 0.1 seconds, and a carrier frequency of fe- 10 Hz
d. Write the demodulation of the modulated signal for μ = 0.5. and then for the demodulation of the modulate signal. Use a sampling frequency of fs=10000Hz, a signal duration of 0.1 seconds, and a carrier frequency of fc=106Hz.
Homework Answers
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...
Consider a message signal m(t) that contains frequency components at 100, 200, and 400 Hz. This...
Consider a message signal m(t) that contains frequency components at 100, 200, and 400 Hz. This signal is used to modulate a carrier at 100 kHz to obtain an SSB modulated signal. At the receiver, in the coherent detector is used to recover m(t), the oscillator supplies a sine wave of frequency 100.02 kHz instead of a cosine wave of frequency 100 kHz. (a) Determine the frequency components of the detector output if the SSB signal transmits the upper sideband....
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T...
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T (centered about the origin). The radio-frequency (RF) pulse defined by s(t) = {4_cos(wt), -āsts 1 0. Otherwise a) Drive a formula for the spectrum of s(t) and v(t) assuming that WT. >> 211 b) Sketch the magnitude spectrum of s(t) for w.T. = 20 The below figure describing the modulation and the demodulation of the m(t) signal. VO mo Product modulator Product modulator Low-pass...
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.
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...
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...
got 50 min sgn(t) and unmodulated carrier cos(wct), draw the output of unmodulate 3. a. For the message signal m(t)-2sgn(t) phase modulator with m(t) (k/4) cos(o t b. For the message signal m(t)--...
got 50 min
sgn(t) and unmodulated carrier cos(wct), draw the output of unmodulate 3. a. For the message signal m(t)-2sgn(t) phase modulator with m(t) (k/4) cos(o t b. For the message signal m(t)--2sgn(t) and unmodulated carrier cos(wet ) shown above where ue-207, draw the output of frequency modulator with m(t) (k-10n)
sgn(t) and unmodulated carrier cos(wct), draw the output of unmodulate 3. a. For the message signal m(t)-2sgn(t) phase modulator with m(t) (k/4) cos(o t b. For the message signal...
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz....
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz. The carrier frequency is given by We = 100 Hz. You will perform modulation and demodulation of double sideband-suppresed carrier (DSB-SC). 1. Modulate m(t). (4 pts) Note: Denote the result of modulation as Smod(t). 2. Demodulate Smod(t). (6 pts) Note: Denote the result of modulation as Sdem(t). Note: To get full credits, strictly mark on m(t) recovered.
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....
5. Consider the following message signal: -2 Assume that the carrier frequency is f are kr 105, k...
5. Consider the following message signal: -2 Assume that the carrier frequency is f are kr 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 in the above...
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...
Consider a message signal m(t) that contains frequency components at 100, 200, and 400 Hz. This signal is used to modulate a carrier at 100 kHz to obtain an SSB modulated signal. At the receiver, in the coherent detector is used to recover m(t), the oscillator supplies a sine wave of frequency 100.02 kHz instead of a cosine wave of frequency 100 kHz. (a) Determine the frequency components of the detector output if the SSB signal transmits the upper sideband....
PROBLEM 12 The message signal m(t) is a rectangular pulse of unit amplitude and duration T (centered about the origin). The radio-frequency (RF) pulse defined by s(t) = {4_cos(wt), -āsts 1 0. Otherwise a) Drive a formula for the spectrum of s(t) and v(t) assuming that WT. >> 211 b) Sketch the magnitude spectrum of s(t) for w.T. = 20 The below figure describing the modulation and the demodulation of the m(t) signal. VO mo Product modulator Product modulator Low-pass...
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.
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...
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...
got 50 min
sgn(t) and unmodulated carrier cos(wct), draw the output of unmodulate 3. a. For the message signal m(t)-2sgn(t) phase modulator with m(t) (k/4) cos(o t b. For the message signal m(t)--2sgn(t) and unmodulated carrier cos(wet ) shown above where ue-207, draw the output of frequency modulator with m(t) (k-10n)
sgn(t) and unmodulated carrier cos(wct), draw the output of unmodulate 3. a. For the message signal m(t)-2sgn(t) phase modulator with m(t) (k/4) cos(o t b. For the message signal...
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz. The carrier frequency is given by We = 100 Hz. You will perform modulation and demodulation of double sideband-suppresed carrier (DSB-SC). 1. Modulate m(t). (4 pts) Note: Denote the result of modulation as Smod(t). 2. Demodulate Smod(t). (6 pts) Note: Denote the result of modulation as Sdem(t). Note: To get full credits, strictly mark on m(t) recovered.
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....
5. Consider the following message signal: -2 Assume that the carrier frequency is f are kr 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 in the above...
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