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Calculate the Fourier transformation of the signal x(t) = cos(200πt)sin(800t), Plot the am plitude and phase...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this ...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
Given an energy signal x(t) = (t-5T)e-t-T) , where T-0.1 compute its energy spectrum density in...
Given an energy signal x(t) = (t-5T)e-t-T) , where T-0.1 compute its energy spectrum density in Matlab 1. use two different methods to a. Get its spectrum using Fourier transformation, follovfed by the squaring its amplitude. Plot its Fourier transformation and its energy spectrum density. Get its autocorrelation function, followed by its Fourier transformation. Plot its autocorrelation function and its energy spectrum density. b. 2. In a multipath channel, the received signal y (t) x(t) 0.15x(t -6T) +0.09x(t 10.5T), plot...
Consider a sinusoidal signal?(?) = ? cos(?0? + ?). Here ?0 is the angular frequency of the signal and ? is the initial phase shift.
Consider a sinusoidal signal?(?) = ? cos(?0? + ?). Here ?0 is the angular frequency of the signal and ? is the initial phase shift.a) Draw the time domain signal. (10 Marks) b) Given that the Fourier transform pair is ? ??? ℱ ↔ 2??(? − ?), find the Fourier Transform ?(?) of ?(?). Here ?(?) is the direct delta function. (12 Marks) c) Draw the Magnitude and phase spectrums of ?(?). (8 Marks) d) Find the Fourier Transform of ?(?) = ?(?)?(?)...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
Consider the input signal x(t) with Fourier transformation X(w) as shown in the figure below where...
Consider the input signal x(t) with Fourier transformation X(w) as shown in the figure below where WM = 100 rad/s. The sampling frequency ws = 200 rad/s. The filter H(w) has a cut- off frequency we = 100 rad/s a) [10 points) Plot the signal P(0) b) [15 points] Plot the signal Xplo) c) [10 points] Plot the output signal X-(0) pt) - 281t - nT) x(t) H(jw) X Hij M You need to show all the steps that lead...
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot...
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform,...
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin...
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin 2T1000t b, x(t)= 4sin 2πί000t cos 2π4000t c. x(t)= (4 + cos 272000) cos 2π5000t
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4...
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4 sin? (2000) – 2+4rec(t)cos(6000mt) Analyse the communication signal x(t) then consider the following: (i) Determine the Fourier transform of the signal x(t). (ii) Plot the double-sided amplitude spectrum of the signal x(t).
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
Given an energy signal x(t) = (t-5T)e-t-T) , where T-0.1 compute its energy spectrum density in Matlab 1. use two different methods to a. Get its spectrum using Fourier transformation, follovfed by the squaring its amplitude. Plot its Fourier transformation and its energy spectrum density. Get its autocorrelation function, followed by its Fourier transformation. Plot its autocorrelation function and its energy spectrum density. b. 2. In a multipath channel, the received signal y (t) x(t) 0.15x(t -6T) +0.09x(t 10.5T), plot...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
Consider the input signal x(t) with Fourier transformation X(w) as shown in the figure below where WM = 100 rad/s. The sampling frequency ws = 200 rad/s. The filter H(w) has a cut- off frequency we = 100 rad/s a) [10 points) Plot the signal P(0) b) [15 points] Plot the signal Xplo) c) [10 points] Plot the output signal X-(0) pt) - 281t - nT) x(t) H(jw) X Hij M You need to show all the steps that lead...
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform,...
Determine the Fourier transform of the following signals and plot the spectrum a. x(t) 4 sin 2T1000t b, x(t)= 4sin 2πί000t cos 2π4000t c. x(t)= (4 + cos 272000) cos 2π5000t
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4 sin? (2000) – 2+4rec(t)cos(6000mt) Analyse the communication signal x(t) then consider the following: (i) Determine the Fourier transform of the signal x(t). (ii) Plot the double-sided amplitude spectrum of the signal x(t).
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
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