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Prob. 4 Consider the coherent receiver shown in the diagram below. The input signal is first...
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...
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...
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...
Consider an FM system where the modulated signal is
Consider an FM system where the modulated signal is s(t) = 10 cos (2πfct + 2πkf∫0t m(τ)dτ)where the carrier frequency is fc = 100 MHz. The modulation signal is m(t) = 10 cos(2πfmt), where fm = 3 kHz. (a) Assuming that kf = 10, what is the approximate bandwidth of s(t)? (b) Find the instantaneous frequency fi(t) of s(t). What are the maximum and minimum values of fi(t) ?
The figure below shows the block diagram of a two-stage SSB modulator. The input signal /...
The figure below shows the block diagram of a two-stage SSB modulator. The input signal / consists of a voice signal occupying the frequency of 3.4 KHz. The oscillator frequencies are Si=100 KHz and 2-10 MHz (6) vo Product Modulator Product Modulator BPF Passes USB only BPF Passes USB only A, cos(2.781) A, cos( 21) Specify the sidebands of all the modulated signals appearing in this system. {, vo), 20). 0),
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,...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz)...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
a. Show that a lower-sideband SSB signal can be demodulated by the synchronous detector shown below...
a. Show that a lower-sideband SSB signal can be demodulated by the synchronous detector shown below by writing the time-domain expression of the signal at each point in the detector. Assume a carrier amplitude of Ac = 2, fo >> fm and a low-pass filter bandwidth < fc. [10] XSSB(t) d(t) y(t) LPF | 2cos(@ct) b. Sketch the spectrum of the signal at each point in the detector using the message signal spectrum shown below. Clearly show the frequencies and...
(TCO 4) A few blocks of a (non-commercial) FM transmitter are shown in the diagram below....
(TCO 4) A few blocks of a
(non-commercial) FM transmitter are shown in the diagram below.
Using Carson's Rule, find the required bandwidth of the radiated
signal.
(TCO 4) A few blocks of a (non-commercial) FM transmitter are shown in the diagram below. Using Carson's Rule, find the required bandwidth of the radiated signal. Reactance Carrier Frequency Final 4 VP-P Modulator oscillator Multiplier Power 10 KHz +/- 215 Hz / V- 1.97593 MHz 1 doubler 2 triplers 25.48 kHz 30.96...
[15 points] You are asked to design a DSB-SC AM modulator to generate a modulated signal km(t)cos...
[15 points] You are asked to design a DSB-SC AM modulator to generate a modulated signal km(t)cos(wt+0), where m(t) is a signal band-limited to B Hz. The following figure shows a DSB- SC AM modulator available in the stockroom. The carrier generator available generates not cos(wct), but cos (wct). Explain whether you would be able to generate the desired signal using only this equipment. You may use any kind of filter you like. 3. What kind of filter is required...
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...
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...
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...
The figure below shows the block diagram of a two-stage SSB modulator. The input signal / consists of a voice signal occupying the frequency of 3.4 KHz. The oscillator frequencies are Si=100 KHz and 2-10 MHz (6) vo Product Modulator Product Modulator BPF Passes USB only BPF Passes USB only A, cos(2.781) A, cos( 21) Specify the sidebands of all the modulated signals appearing in this system. {, vo), 20). 0),
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,...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
a. Show that a lower-sideband SSB signal can be demodulated by the synchronous detector shown below by writing the time-domain expression of the signal at each point in the detector. Assume a carrier amplitude of Ac = 2, fo >> fm and a low-pass filter bandwidth < fc. [10] XSSB(t) d(t) y(t) LPF | 2cos(@ct) b. Sketch the spectrum of the signal at each point in the detector using the message signal spectrum shown below. Clearly show the frequencies and...
(TCO 4) A few blocks of a
(non-commercial) FM transmitter are shown in the diagram below.
Using Carson's Rule, find the required bandwidth of the radiated
signal.
(TCO 4) A few blocks of a (non-commercial) FM transmitter are shown in the diagram below. Using Carson's Rule, find the required bandwidth of the radiated signal. Reactance Carrier Frequency Final 4 VP-P Modulator oscillator Multiplier Power 10 KHz +/- 215 Hz / V- 1.97593 MHz 1 doubler 2 triplers 25.48 kHz 30.96...
[15 points] You are asked to design a DSB-SC AM modulator to generate a modulated signal km(t)cos(wt+0), where m(t) is a signal band-limited to B Hz. The following figure shows a DSB- SC AM modulator available in the stockroom. The carrier generator available generates not cos(wct), but cos (wct). Explain whether you would be able to generate the desired signal using only this equipment. You may use any kind of filter you like. 3. What kind of filter is required...
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