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2. An FM modulator with modulation index m-2kradians/(voltxsec) has an input signal 2sin2π(1000)t). The carrier signal...
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...
A transmitter antenna broadcasts a non-commercial FM signal having modulation index mf = 5 and carrier...
A transmitter antenna broadcasts a non-commercial FM signal having modulation index mf = 5 and carrier deviation Δfc = 40.5 kHz. Find the number of pairs of sidebands from Bessel’s table. What is the frequency separation between the sidebands? Find the bandwidth required to transmit the FM signal from parts a and b.
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a...
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a a bandwidth of 56HZ, as shown in the following figure. Determine the power ratio and the power at the fiter oput center frequency of 1000HZ and Bandpass filter PM Output Center 1000 Hz Bandwidth 56 Hz mt-5 cos 2(8)r modulator -1000 Hz (a) FM system 39.1 39.1365...
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....
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
2. 12 pts] An FM system has a modulation index β-6 aid the input signal-to-noise ratio SNR 25dB. ...
2. 12 pts] An FM system has a modulation index β-6 aid the input signal-to-noise ratio SNR 25dB. The message is a periodic square wave given in the figure below pulse width -0.2m 2 0 0 t (ms) a) What is the output SNR.? b) What is the proper value of the message bandwidth? [Justify your answer. c) What is the corresponding FM transmission bandwidth? d) If the modulation index is kept at β 6, what should be the increase...
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...
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).
Please do Part 4 and Show all work! 1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure b...
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net +...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net + 40 cos(2000xt) + 15cos (400nt)) (v) Determine the following: The average power of the signal. b) The carrier frequency of the signal. The instantaneous frequency of the signal. d) The instantaneous maximum frequency deviation of the signal. e) The wavefom of the message signal, assuming a frequency modulation (FM). f) The modulation index, assuming a FM. Is it a broadband FM or narrowband FM...
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...
(14%) 6. Consider an FM modulator with output )-100 cos(2(1000)r+(0) The modulator operates with fa = 8 and has the input message signal The modulator is followed by a bandpass filter with a a bandwidth of 56HZ, as shown in the following figure. Determine the power ratio and the power at the fiter oput center frequency of 1000HZ and Bandpass filter PM Output Center 1000 Hz Bandwidth 56 Hz mt-5 cos 2(8)r modulator -1000 Hz (a) FM system 39.1 39.1365...
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....
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
2. 12 pts] An FM system has a modulation index β-6 aid the input signal-to-noise ratio SNR 25dB. The message is a periodic square wave given in the figure below pulse width -0.2m 2 0 0 t (ms) a) What is the output SNR.? b) What is the proper value of the message bandwidth? [Justify your answer. c) What is the corresponding FM transmission bandwidth? d) If the modulation index is kept at β 6, what should be the increase...
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...
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).
Please do Part 4 and Show all work!
1. 145 points) <FM/FSK Modulation/Demodulations A periodic wave m(t) in Figure 1 below The resulting FM signal is demodulated as shown in the following figure by using frequency discriminator. Assume no attenuation of the signal due to propagation loss (in other words assume amplifiers properly restored the amplitude of the transmitted signal at the receiver) [10 points] Find the Fourier Series (trigonometric Fourier Series) of the message signal m (t) where To...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net + 40 cos(2000xt) + 15cos (400nt)) (v) Determine the following: The average power of the signal. b) The carrier frequency of the signal. The instantaneous frequency of the signal. d) The instantaneous maximum frequency deviation of the signal. e) The wavefom of the message signal, assuming a frequency modulation (FM). f) The modulation index, assuming a FM. Is it a broadband FM or narrowband FM...
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