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4. If the signal X(t) = cos(0) + cos(26) + cos...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...
Signal system 8. Consider the periodic signal x(t) = cos(2nt) + cos(2nt) I. a. Find the...
Signal system
8. Consider the periodic signal x(t) = cos(2nt) + cos(2nt) I. a. Find the Fourier series coefficients for this signal. (4 points). b. If this signal passes through a LTI system with the impulse response h(t)=e* u(t), particularly, would the output signal also be a periodic signal ? If so, what would be the Fourier coefficients of the output signal ? (4 points). c. Give the mathematical expression for the output signal y(t). (2 points).
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is...
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is known to be (d) Suppose x(t) is the input to a stable, continuous-time, single-input/single-output LTI system whose impulse response is given by 9sine (wot/4 2 cos (u) Determine the output y(t) for -oo<t<oo. Answer: y(t)-4m 2r(1 +9π (2r(1+9r2) tan 1(3m) cos 9T
Problem 1 The complex exponential Fourier Series of a signal over an interval 0
Will thumbs up if completed. Please show all work and have clear images, thank you. 4....
Will thumbs up if completed. Please show all work and have clear
images, thank you.
4. Find the output of an LTI system whose impulse response is h[n] = u[n – 1], if the input signal x[n] = (1/3)-nu[-n – 1] is applied to it. (15 points)
Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with th...
Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with the impulse response h[n]1.5un un - 6]) of an LTI system S. Is the output periodic? Why or why not? Please explain.
Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with the impulse response h[n]1.5un un - 6]) of an LTI system S. Is the output periodic? Why or why not?...
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response...
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response is h(t)=sinc(200t). We apply an input signal x(t)=sinc(100t) to produce the output y(t). Find and plot Y(m). Find y(t).
(Frequency response of CT LTI systems): You want to design a system whose unit impulse response has the form:
(Frequency response of CT LTI systems): You want to design a system whose unit impulse response has the form: h(t) =u(t) - u(t - N). Find all possible values of N >0 such that when the input signal x(t) = cos(πt), the output signal y(t) = 0 for all t.
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to...
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
The given input signal for 2.7.2 is: x(t) = 3 cos(2 π t) + 6 sin(5 π t). Plz explain ...
The given input signal for 2.7.2 is: x(t) = 3 cos(2
π t) + 6 sin(5 π t).Plz explain steps.Given a causal LTI system described by the differential equation find \(H(s),\) the \(\mathrm{ROC}\) of \(H(s),\) and the impulse response \(h(t)\) of the system. Classify the system as stable/unstable. List the poles of \(H(s) .\) You should the Matlab residue command for this problem.(a) \(y^{\prime \prime \prime}+3 y^{\prime \prime}+2 y^{\prime}=x^{\prime \prime}+6 x^{\prime}+6 x\)2.7.2 The signal \(x(t)\) in the previous problem is...
please answer all questions with working out! will rate high A signal :[7] = cos( /4)0.8"...
please answer all questions with working out! will
rate high
A signal :[7] = cos( /4)0.8" [rel is applied to an LTI systern and produces an output 3u[1]. What output is produced by an input airl] = 2:0[– 317 bur un 3 3un +3] 3un - 3] Allowed attempts: 1 Check Answer An LTI system has impulse response h[n] = 0.5" (n). What input : 1) will produce an output y(n) = 3(0.5)(n-Halle 1)? [n] = 68 n - 1]...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...
Signal system
8. Consider the periodic signal x(t) = cos(2nt) + cos(2nt) I. a. Find the Fourier series coefficients for this signal. (4 points). b. If this signal passes through a LTI system with the impulse response h(t)=e* u(t), particularly, would the output signal also be a periodic signal ? If so, what would be the Fourier coefficients of the output signal ? (4 points). c. Give the mathematical expression for the output signal y(t). (2 points).
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is known to be (d) Suppose x(t) is the input to a stable, continuous-time, single-input/single-output LTI system whose impulse response is given by 9sine (wot/4 2 cos (u) Determine the output y(t) for -oo<t<oo. Answer: y(t)-4m 2r(1 +9π (2r(1+9r2) tan 1(3m) cos 9T
Problem 1 The complex exponential Fourier Series of a signal over an interval 0
Will thumbs up if completed. Please show all work and have clear
images, thank you.
4. Find the output of an LTI system whose impulse response is h[n] = u[n – 1], if the input signal x[n] = (1/3)-nu[-n – 1] is applied to it. (15 points)
Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with the impulse response h[n]1.5un un - 6]) of an LTI system S. Is the output periodic? Why or why not? Please explain.
Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with the impulse response h[n]1.5un un - 6]) of an LTI system S. Is the output periodic? Why or why not?...
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response is h(t)=sinc(200t). We apply an input signal x(t)=sinc(100t) to produce the output y(t). Find and plot Y(m). Find y(t).
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
The given input signal for 2.7.2 is: x(t) = 3 cos(2
π t) + 6 sin(5 π t).Plz explain steps.Given a causal LTI system described by the differential equation find \(H(s),\) the \(\mathrm{ROC}\) of \(H(s),\) and the impulse response \(h(t)\) of the system. Classify the system as stable/unstable. List the poles of \(H(s) .\) You should the Matlab residue command for this problem.(a) \(y^{\prime \prime \prime}+3 y^{\prime \prime}+2 y^{\prime}=x^{\prime \prime}+6 x^{\prime}+6 x\)2.7.2 The signal \(x(t)\) in the previous problem is...
please answer all questions with working out! will
rate high
A signal :[7] = cos( /4)0.8" [rel is applied to an LTI systern and produces an output 3u[1]. What output is produced by an input airl] = 2:0[– 317 bur un 3 3un +3] 3un - 3] Allowed attempts: 1 Check Answer An LTI system has impulse response h[n] = 0.5" (n). What input : 1) will produce an output y(n) = 3(0.5)(n-Halle 1)? [n] = 68 n - 1]...
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