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.
Use the Amplitude Modulation property of the Fourier Transform to modulate x(t) to the carrier signal...
In a DSB-SC amplitude modulation system, the message signal is m(t)=e^(-3t)*u(t-2) and the carrier signal is ???( 2000??). Find the Fourier transform of the modulated signal.
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz. The carrier frequency is given by We = 100 Hz. You will perform modulation and demodulation of double sideband-suppresed carrier (DSB-SC). 1. Modulate m(t). (4 pts) Note: Denote the result of modulation as Smod(t). 2. Demodulate Smod(t). (6 pts) Note: Denote the result of modulation as Sdem(t). Note: To get full credits, strictly mark on m(t) recovered.
An information signal is of the form s(t) = sin(2*pi*t)/t. The signal amplitude modulates a carrier of frequency 10Hz. Find and sketch the Waveform and Fourier transform of the transmitted signal before and after AM modulation. For AM modulation you can consider the simple case of DSB format (or double-sideband suppressed carrier modulation).
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. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an LSB-AM signal. (a) Find and sketch the spectrum of m(t); determine and sketch the spectrum of mh (t) graphically; determine m,(t) by finding the inverse Fourier transform of the previous spectrum; determine the LSB-AM message signal expression. (b) Sketch the spectrum of the DSB-SC signal 2m(t) cos 2mfet; remove the upper sideband and sketch the resulting LSB spectrum; determine the LSB-AM message signal expression...
Please solve whole this problem and be clear when you write by your hand. 2. An audio frequency signal 10sin2π500t) is used to amplitude modulate a carrier of 50sin(2π 100000t). Assume modulation index-02. Find: a) the general AM equation b) Sketch the spectrum resulting AM [S(] c) Sideband frequencies d) Amplitude of each sideband e) Bandwidth required f) Efficiency of AM wave 2. An audio frequency signal 10sin2π500t) is used to amplitude modulate a carrier of 50sin(2π 100000t). Assume modulation...
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...
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).
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...