kindly see the above images for the solution.
. Assume the following amplitude modulation and demodulation systems. Answer the following questi...
2. Assume the following modulation system. Answer the following questions using tables of Fourier transform uploaded to e-Learning. x(t) Xm(t) m(t) x(t) _ sinem) x(t) =-nt m(t)-cos(10rt) a) Sketch magnitude and phase spectra of X(w) b) Sketch magnitude and phase spectra of M(w). c) Sketch magnitude and phase spectra of Xm (u). d) Repeat parts b and c if m(t) sin(10nt).
Use the Amplitude Modulation property of the Fourier Transform to modulate x(t) to the carrier signal m(t). x(t) = t*exp(-100t)u(t), m(t) = cos(2*π*500t). Then show demodulation of the result.
signal and systems 3.11. For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k , (a) x(t) = cos(51-7r/4) (b) x(1) sin! + cos[
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
Analysis Linear Systems Problem 17. Consider the standard amplitude-modulation system shown in Figure 3 Figure 3 x) Channel Filter he(r) cos wor cos ωοι M(w) H(u) (a) Sketch the spectrum of r(t). (b) Sketch the spectrum of y(t) for the following cases: (i) 0S WcWo-m (iii) wc >wowm (c) Sketch the spectrum of z(t) for the following cases: (i) 0 S WcWo-m (iii) wc >wowm d) Sketch the spectrum of v(t) if we wowm and (i) w
Consider the following Amplitude Modulation (AM) signal given by Xc(t)=Ac[1 + μx(t)]cos(wct) where x(t) is the message signal, and μ the modulation index. Also consider the following message signal x(t) for parts (a) and (b)' shown in Fig 1. a) Provide a sketch of the AM signal when the modulation index μ < 1. b) Provide a sketch of the AM signal when the modulation index μ = 1. c) Provide a sketch of the AM signal when the modulation index μ > 1. d) If the bandwidth...
This is taken from Section 4.6, "Amplitude Modulation and the Continuous-Time Fourier Transform," in the course text Computer Explorations in signals and systems by Buck, Daniel, Singer, 2nd Edition. I need the answers for the basic and intermediate questions. 4.6 Amplitude Modulation and the Continuous-Time Fouriei Transform This exercise will explore amplitude modulation of Morse code messages. A simple ampli tude modulation system can be described by x(t) = m(t) cos(Crfot), (4.13) where m(t) is called the message waveform and...
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).
For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k. (a) x() = cos(51 - 7/4) (b) X(t) = sin 1 + cost (c) x(0) cos(t – 1) + sin(t - 12) (d) x(t) = cos 2t sin 3t
6) Answer the following questions: a) (5 points) Using the Fourier transform, find the value of the following integral S. sinc(Be)dt b) (5 points) Find the Amplitude and phase spectra of the following signal x(t) Ae=sin(5t), t20, t<0. 10. c) (5 points) Find the Fourier transform of v(t) 1