Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amp...
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 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.
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....
Select the correct statement regarding the difference between the FM modulated signal waveform and the AM modulated signal waveform. a. The FM signal wave changes frequency according to the message wave m(t). The "peak" amplitude of the FM signal, Ac=5, remains constant. b. There is no difference between the FM and AM signal waves because they are both modulated by the same message wave, m(t) = Amcos(2πfmt) c. The AM signal wave frequency changes with the message wave m(t) while...
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).
A baseband signal s(t) = 10 6 ( 3000 77t +30), is wideband FM modulated (tem(t)) with Carrier amplitude of 50 volt. The index of modulation is B = 4. (a) show the simplified equation of fift) (b) Determine wideband FM power using Bessel foc. table (C) Calculate Kf in the fu(t) equation
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...
2. [20 points] The carrier c(t-Acce(2106 t) is frequency modulated by the sinusoid signal m(t) 2cos (2000mt). The deviation constant is kr 3000 Hz/V Determine the bandwidth of the modulated signal using Carson's rule a. Sketch the magnitude of the spectrum of the modulated signal (plot only those frequency components that lie within the bandwidth derived in part a) with detailed information such as the areas of delta function determined by the Bessel function, frequency separation between each spectrum (note...
We would like to modulate the message x(t) = sin(2000πt). For FM modulation take k=200000π and for PM modulation take k=8000π. a) Estimate the bandwith of FM modulated signal yFM(t) and PM modulated signal yPM(t). b) Repeat part (a) if the message signal amplitude is doubled. c) Repeat part(a) if the message signal frequency is doubled. d) Comment on the sensitivity of FM and PM bandwidths to the spectrum of x(t).
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...