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Question-3 (20 marks) Convolve the continuous time signals r(t) with their impulse response h(t) and find...
Problem 2 In each step to follow the signals h(t) r (t) and y(t) denote respectively the impulse response. input, and output of a continuous-time LTI system. Accordingly, H(), X (w) and Y (w) denote their Fourier transforms. Hint. Carefully consider for each step whether to work in the time-domain or frequency domain c) Provide a clearly labeled sketch of y(t) for a given x(t)-: cos(mt) δ(t-n) and H(w)-sine(w/2)e-jw Answer: y(t) Σ (-1)"rect(t-1-n) Problem 2 In each step to follow...
3. A continuous-time system with impulse response h'n - 5 rect' is excited by x(1) = 4 rect(21). (a) Find the response y(t) at time 1 = 1/2. (b) Change the excitation from part (a) to x. //\= xlt-1and keep the same impulse response. What is the new responsey.(t) at time 1 =1/2?
Problem 4. Convolve the following input X(t) with the system impulse response h(t) and plot the system output y(t). h(t) Problem 5. Construct a Bode plot of the input impedance DMM 100nF zin - 300F CM 500 ohms
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...
In each step to follow, the signals h(t), a(t), and y(t) denote respectively the impulse response, input, and output of a continuous-time LTI system. Accordingly, H(w), X(w) and Y(w) denote their Fourier transforms. Hint: Carefully consider for each step whether to work in the time domain or frequency domain. (b) (25 points) On the axes below, provide a clearly labeled sketch of y(t) for all t given Σ H(w)-( ) sine? (w/8) j2Tt r(t)-e δ(t-n/2) and with sinc(t) = sin(t)/t...
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
Plz explain 9. The impulse response of a continuous-time LTI system is obtained by plying two signals, f(t) and g(t). h(t) = f(t) g(t) where f(t) = sine(t), g(t) = 5 sine(5). (a) Accurately sketch the frequency response H() of the system. (b) What kind of system is H) (LPF, HPF, BPF, BSF, or none of these)? (c) Can this system be implemented with a finite order differential equa tion Explain. 9. The impulse response of a continuous-time LTI system...
(b) (5 pts) Unit Impulse. Suppose we have an impulse train signal h(t)-Σ δ(t-nT). Given an arbitrary signal r(t), find r(t)h(t) and (t) h(t) in terms of r(t) Show that r(t)h(t)-Σ r(nT)δ(t-nT) and r(t) * h(t)-Σ r(t-nT) (b) (5 pts) Find the Fourier Transform of r(t) (t 2n). Hint: Find wo and the Fourier series coefjicients then use the Fourier Transform property for periodic signals. (b) (5 pts) Unit Impulse. Suppose we have an impulse train signal h(t)-Σ δ(t-nT). Given...
Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5) Question 3) Given a system with an impulse response of: h(t) = te-2t(U(t)-U(t-4)). Use MATLAB to compute the output of the system with an input of: x(t)-3(U(t -2)-U(t - 5)
1. (20 p) Compute and sketch the output y(t) of the continuous-time LTI system with impulse response h(t) = el-tuſt - 1)for an input signal x(t) = u(t) - ut - 3). 2. (20p) Consider an input x[n] and an unit impulse response h[n] given by n-2 x[n] = (4)”- u[n – 2] h[n] = u(n + 2] Determine and plot the output y[n] = x[n] *h[n].