If the impulse response of a circuit is a pulse y(t) = u(t) – u(t-T), T...
Consider and impulse response h(t)= p(t ,T ), where p(t,T) is the pulse function u(t) - u(t - T) Find the output for the following inputs to the system via convolution: a) p(t,T) b) u(t) c) r(t) = 0, t < 0 a t, 0 < t < T 0, t > T
(c) If the impulse response function of a linear time invariant (LTI) system is h0)-Se u(), compute the output of this system due to an input ) which is a 4 second pulse of height 3, as shown in Fig.1 below. x(t) t(sec) 0 Fig.1 Input signal 10 marks/
ECE 202 Lab 5 Poles & Zeros, Impulse Response II Prelab 1. Assuming the initial conditions are zero, determine the transfer function H(s), for the circuit shown below. Also, inverse transform the transfer function to obtain the impulse response for the circuit, h() IN(S) 100? 1mH V out IN 0.01 ?F 2 What values of corespon o the poles and aeros df H)7 What yoe of signal will produce zero steady state output? constant) for this circuit? produce a zero...
signal and system 8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2 8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
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)
5. 20 points You have an RC-circuit whose impulse response for a and output voltage y(t) is uit whose impulse response for an input voltage (t) h(t) = e-Otu(t). Given that the input voltage is *(t) = 3 sinc(4t), determine the magnitude Y(w) of the output voltage's Fourier transform.
x(t)-A()x(t) + B(t)u(t) 2. Consider the following system y(t)-C(t)x(t) where A(t)- 0 1) Derive the state transition matrix Φ(t, τ). 2) Derive the impulse response function g(t, z). x(t)-A()x(t) + B(t)u(t) 2. Consider the following system y(t)-C(t)x(t) where A(t)- 0 1) Derive the state transition matrix Φ(t, τ). 2) Derive the impulse response function g(t, z).
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr
8.2-24. A random process X(t) is applied to a network with impulse response h(t) = u(t)texp(-bt) where b > 0 is a constant. The cross-correlation of X(t) with the output Y() is known to have the same form: Rxy(t) = u(t)t exp(-bt) (a) Find the autocorrelation of y(t). (b) What is the average power in Y(0)?
Find the impulse response function. y" +8y' + 16y = g(t)