c) An excitation signal x(t) of
frequency contents shown below is input to the communication system
shown below Find and draw the output signal y(t) or Y().
# if the draw using MATLAB with the code will be better
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c) An excitation signal x(t) of frequency contents shown below is input to the communication system shown below Find and draw the output signal y(t) or Y(). # if the draw using MATLAB with the code w...
8) Find the output of an LTI system with the input x(t) with the sampling frequency...
8) Find the output of an LTI system with the input x(t) with the sampling frequency of fn = 10 Hz, and the filter/transfer function (el) below. x(t) = 2 + cos (2007t + ) + 2sin(1007t) Hew) = 1 + 2e1W + cos(2w)
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency resp...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
1. The system shown is used for scrambling audio signals. The output signal, y(t) is the...
1. The system shown is used for scrambling audio signals. The output signal, y(t) is the scrambled version of the input m(t). Find the spectrum of the scrambled signal y(t): Y(f) Mf) m(t) vt) Low-pass filter 0-15 kHz - (Scrambled output) - 15 kHz | 15 kHz f kHz 2 cos 30,000 t
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below,...
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
Question 13 For the control system shown below the input signal is x(C) and the output...
Question 13 For the control system shown below the input signal is x(C) and the output signal in ), the fransfer function is 10s +50 s +12s+ 100 10s +50 o HCs)--S-10s + 150 10s +50 s2 + 22s 101 10s+50 H(s) HS)2 + 22s 150 50 O H(s)- s2 +22s 150 For the control system shown below the input signal is X() and the output signal is VCt), the transfer function is H(S)- HS) 3 +252 +51 Question 1...
If of the input signal X(t) and output signal yl to a continuous - time linear...
If of the input signal X(t) and output signal yl to a continuous - time linear time - invariant system - Y(t) = 5 to xc ej elt- el de o find the impluse response of the system hat) o If the input signal is x (t) = f(t) - f (t-1) find the output signal y ct) o Find the impulse response of the system hit) @ If the input signal Is x (t) = f(t)-f(t-1) find the -...
for the plot, provide the matlab code. 3. Let the input signal x[n] (defined for -<n...
for the plot, provide the matlab code.
3. Let the input signal x[n] (defined for -<n < oo) to the system be x[n] = 3 cos( 0.05πn) + 4 cos( 0.45πn) + cos( 0.95 n) and the transfer function be 1-re-je a) Plot this signal as a function of n. b) Determine and plot the output y[n] produced by the system due to the input analyzed in part a) of this problem. Do this first with r 0.05 and then...
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...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t)...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t) - 20+ 20 cos(24xt)cos(xt), Where time t is expressed in ms. Part 1 - Setting the sampling frequency: (11 Marks) As a start, the system comprises only a sampler and an ideal analogue reconstructor as follows: w(t) s(t) Sampler Analogue Reconstructor s,(t) Figure a) Find the frequency spectrum S(t) of s(t) and deduce its bandwidth. You may directly use the table provided at the...
4. (15 points - PA.3) Consider the RLC circuit shown below, where the input and output...
4. (15 points - PA.3) Consider the RLC circuit shown below, where the input and output x(t) and y(t) are the input voltage vi(t) and capacitor voltage vc(t) respectively, and R = 1 K12, C = 0.1 mF, L = 100 H. i(t) + (i) Determine the frequency response of the system H (jw), as well as its magnitude and phase responses. What type of filter does it correspond to? (ii) Sketch its magnitude and phase response in Matlab. You...
8) Find the output of an LTI system with the input x(t) with the sampling frequency of fn = 10 Hz, and the filter/transfer function (el) below. x(t) = 2 + cos (2007t + ) + 2sin(1007t) Hew) = 1 + 2e1W + cos(2w)
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
1. The system shown is used for scrambling audio signals. The output signal, y(t) is the scrambled version of the input m(t). Find the spectrum of the scrambled signal y(t): Y(f) Mf) m(t) vt) Low-pass filter 0-15 kHz - (Scrambled output) - 15 kHz | 15 kHz f kHz 2 cos 30,000 t
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
Question 13 For the control system shown below the input signal is x(C) and the output signal in ), the fransfer function is 10s +50 s +12s+ 100 10s +50 o HCs)--S-10s + 150 10s +50 s2 + 22s 101 10s+50 H(s) HS)2 + 22s 150 50 O H(s)- s2 +22s 150 For the control system shown below the input signal is X() and the output signal is VCt), the transfer function is H(S)- HS) 3 +252 +51 Question 1...
If of the input signal X(t) and output signal yl to a continuous - time linear time - invariant system - Y(t) = 5 to xc ej elt- el de o find the impluse response of the system hat) o If the input signal is x (t) = f(t) - f (t-1) find the output signal y ct) o Find the impulse response of the system hit) @ If the input signal Is x (t) = f(t)-f(t-1) find the -...
for the plot, provide the matlab code.
3. Let the input signal x[n] (defined for -<n < oo) to the system be x[n] = 3 cos( 0.05πn) + 4 cos( 0.45πn) + cos( 0.95 n) and the transfer function be 1-re-je a) Plot this signal as a function of n. b) Determine and plot the output y[n] produced by the system due to the input analyzed in part a) of this problem. Do this first with r 0.05 and then...
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...
A Digital Signal Processing system is taking at its input the following analogue signal s(t); s(t) - 20+ 20 cos(24xt)cos(xt), Where time t is expressed in ms. Part 1 - Setting the sampling frequency: (11 Marks) As a start, the system comprises only a sampler and an ideal analogue reconstructor as follows: w(t) s(t) Sampler Analogue Reconstructor s,(t) Figure a) Find the frequency spectrum S(t) of s(t) and deduce its bandwidth. You may directly use the table provided at the...
4. (15 points - PA.3) Consider the RLC circuit shown below, where the input and output x(t) and y(t) are the input voltage vi(t) and capacitor voltage vc(t) respectively, and R = 1 K12, C = 0.1 mF, L = 100 H. i(t) + (i) Determine the frequency response of the system H (jw), as well as its magnitude and phase responses. What type of filter does it correspond to? (ii) Sketch its magnitude and phase response in Matlab. You...
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