a. For the wideband FM signal given by SFM(t) = cos[2πfct+ 3sin2π25t]
a. For the wideband FM signal given by SFM(t) = cos[2πfct+ 3sin2π25t], draw only positive side of the spectrum, (from n=-5 to n=+5). Assume the carrier frequency (fc) of 1 KHz.
Hint: First calculate β by comparing the signal with SFM(t) equation
b. The FM signal of part (a) is passed through a bandpass filter centered at 1 KHz with a bandwidth of 210 Hz, as shown below. Draw the new spectrum and calculate the bandwidth and power of the filtered FM signal using the Carson's Rule
Homework Answers
Add Answer to:
a. For the wideband FM signal given by SFM(t) = cos[2πfct+ 3sin2π25t]
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)...
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...
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...
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) ?
5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates the carrier c(t) = 100 cos(2πfct), where...
5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates the carrier c(t) = 100 cos(2πfct), where fc = 1 MHz to produce the DSB signal m(t)c(t). ( 1. Determine the expression for the upper-sideband (USB) signal. 2. Determine and sketch the spectrum of the USB signal.
1. Given: SAT (Supervisory Audio Tones) fm= 5970Hz, 6000Hz, 6030 Hz fc = 870.03 MHz Frequency...
1. Given: SAT (Supervisory Audio Tones) fm= 5970Hz, 6000Hz, 6030 Hz fc = 870.03 MHz Frequency deviation = + 12 kHz Find: (a)β (b) Bandwidth using Carson’s rule (c)Sketch the spectrum 2. Given: ST (Signaling Tones) fm= 10 kHz, fc = 870.03 MHz Frequency deviation = + 8 kHz Find: (a)β (b) Bandwidth using Carson’s rule (c)Sketch the spectrum
When the message signal m (t) =cos (2π fmt) and the carrier signal is c(t)=cos (2π fct) , fm<&...
When the message signal m (t) =cos (2π fmt) and the
carrier signal is c(t)=cos (2π fct) ,
fm<< fc,
The modulated DSB-SC signal
SDSB-SC=m(t)cos(2πfct) is generated, and only
the upper sideband
To generate and transmit the SSB signal. As shown in the figure
below, the receiver is a local oscillator
cosine signal to the received signal and passes it through a
low-pass filter. Answer the following questions.
(a) Draw the waveform of DSB-SC modulated signal
SDSB-SC(t）
(b)Find the result...
A certain FM signal is given by:
A certain FM signal is given by: \(s(t)=A_{c} \cos \left[2 \pi f_{c} t+2 \pi k_{f} \int_{0}^{t} m(\tau) d \tau\right]\). Estimate the bandwidth of \(s(t)\) using Carson's rule. Assume the spectrum of m(t) is given by:$$ \begin{array}{rr} M(f)=\operatorname{rect}(f) \text { and } \operatorname{rect}(f)=1 & -10 \mathrm{kHz} \leq f \leq 10 \mathrm{kHz} \\ \operatorname{rect}(f)=0 & |f| \geq 10 \mathrm{kHz} \end{array} $$Assume \(k_{f}=2 \mathrm{kHz} /\) volt. Also estimate the bandwidth using Figure 4.9. Compare your results.(Hint: Consider your response to question 5.) from...
(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...
(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...
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)...
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...
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...
When the message signal m (t) =cos (2π fmt) and the
carrier signal is c(t)=cos (2π fct) ,
fm<< fc,
The modulated DSB-SC signal
SDSB-SC=m(t)cos(2πfct) is generated, and only
the upper sideband
To generate and transmit the SSB signal. As shown in the figure
below, the receiver is a local oscillator
cosine signal to the received signal and passes it through a
low-pass filter. Answer the following questions.
(a) Draw the waveform of DSB-SC modulated signal
SDSB-SC(t）
(b)Find the result...
A certain FM signal is given by: \(s(t)=A_{c} \cos \left[2 \pi f_{c} t+2 \pi k_{f} \int_{0}^{t} m(\tau) d \tau\right]\). Estimate the bandwidth of \(s(t)\) using Carson's rule. Assume the spectrum of m(t) is given by:$$ \begin{array}{rr} M(f)=\operatorname{rect}(f) \text { and } \operatorname{rect}(f)=1 & -10 \mathrm{kHz} \leq f \leq 10 \mathrm{kHz} \\ \operatorname{rect}(f)=0 & |f| \geq 10 \mathrm{kHz} \end{array} $$Assume \(k_{f}=2 \mathrm{kHz} /\) volt. Also estimate the bandwidth using Figure 4.9. Compare your results.(Hint: Consider your response to question 5.) from...
(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...
(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...
Most questions answered within 3 hours.
-
A study was done to compare the amount of time per day students
at public and...
asked 3 minutes ago -
For regularization, we added the regularizer to the loss
function. Does it make sense to multiply...
asked 9 minutes ago -
b. A freezer you got from a student sale has an inside
temperature of – 10C;...
asked 11 minutes ago -
PEARSON
Years
S&P 500
Stock Price
2014
1,692
$68.00
2015
1,978
$102.00
2016
1,884
$110.00
2017...
asked 12 minutes ago -
You roll a fair 6-sided dice, let Y be the outcome of the dice
roll. Then...
asked 42 minutes ago -
If the value of the range is equal to zero, then this indicates
that:
A. there...
asked 1 hour ago -
Based on Simms' (1994) articulation of psychological privacy to
promote development of self-identity, for example, do...
asked 25 minutes ago -
Use C programe to :
Develop an algorithm, flow chart and write a C program to...
asked 47 minutes ago -
Benzene has a vapor pressure of 75.0 Torr at 22.0 °C and an
enthalpy of evaporation...
asked 30 minutes ago -
How does a leadership philosophy shape service delivery in a
human services organization?
asked 40 minutes ago -
Which of the following statements about hormonal regulation of
glycogen synthesis and degradation are correct?
Multiple...
asked 45 minutes ago -
1. Describe all
necessary steps and conditions for execution of a java".
2. What
is maven...
asked 57 minutes ago