Suppose that € m(t) = 5cos3000πt is the message signal to be frequency-modulated. a) Calculate the bandwidth of the modulated signal, if the modulation is NBFM. b) For WBFM with bandwidth € BFM ≈ 2Δf...
Suppose that € m(t) = 5cos3000πt is the message signal to be frequency-modulated.
a) Calculate the bandwidth of the modulated signal, if the modulation is NBFM.
b) For WBFM with bandwidth € BFM ≈ 2Δf , find the smallest value of € kf . (Let > mean “at least ten times” smaller and greater, respectively).
c) For the value of € kf found in (b), what is the bandwidth of the modulated signal?
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Suppose that € m(t) = 5cos3000πt is the message signal to be frequency-modulated. a) Calculate the bandwidth of the modulated signal, if the modulation is NBFM. b) For WBFM with bandwidth € BFM ≈ 2Δf...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated 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...
M) + Q4t 0.0 S Suppose that we are given the periodic message signal m(t) shown...
M) + Q4t 0.0 S Suppose that we are given the periodic message signal m(t) shown in the figure. Assume that its bandwidth is its tenth harmonic frequency. We perform FM modulation. For which kf value can this modulation be considered as narrow-band? 80 800 1000 0 0 0 0 0 1500… 12000
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).
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...
(b) IT SUIS JILI find m(t) 10. An angle-modulated signal is described by the equation below...
(b) IT SUIS JILI find m(t) 10. An angle-modulated signal is described by the equation below (1) = 10 cos(2111084 +200 cos 2.10°r) signal IJ TUM using the Bessel function table 9. An angle-modulated signal is described by the equation below s(t) = 10 cos[2 (106+0.1 sin(103) (a) If s(t) is the signal obtained by phase modulation with ky=10, find m(t) (b) If st) is the signal obtained by frequency modulation with kf=107 find m(t) bolo modulated signal is described...
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...
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt)....
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
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) ?
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...
M) + Q4t 0.0 S Suppose that we are given the periodic message signal m(t) shown in the figure. Assume that its bandwidth is its tenth harmonic frequency. We perform FM modulation. For which kf value can this modulation be considered as narrow-band? 80 800 1000 0 0 0 0 0 1500… 12000
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).
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...
(b) IT SUIS JILI find m(t) 10. An angle-modulated signal is described by the equation below (1) = 10 cos(2111084 +200 cos 2.10°r) signal IJ TUM using the Bessel function table 9. An angle-modulated signal is described by the equation below s(t) = 10 cos[2 (106+0.1 sin(103) (a) If s(t) is the signal obtained by phase modulation with ky=10, find m(t) (b) If st) is the signal obtained by frequency modulation with kf=107 find m(t) bolo modulated signal is described...
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
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