signal and system B. if the impulse response is given by 1. What is the output...
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...
Could you please help with the following parts: a. b. c. A system has the impulse response of. If the following signal is input into this system: Enter the output of this system (y[지) into the blank space provided (use π = pi in equations, eg. 1 +2cos(0.5pin) = 12 cos(0.5Tn)) The magnitude response of a discrete-time filter is plotted between the range-4T ώ +6x and is shown below. 10 -2 0 Normalised Radian frequency x Tm What type of...
2.7.5 The impulse response of a continuous-time LTI system is given by (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) = δ(t-2) (This is a delay of 2.) (a) What is the frequency response H (w) of this system? (b) Find and sketch the frequency response...
The impulse response of a discrete-time (DT) LTI system is given as a. State whether or not the system is (i) memoryless, (ii) causal, (ii) stable. Justify your answers mathematically. b. Find an impulse response ho[n] such that the system with impulse response hln] + holn] (the parallel connection) is (i) a memoryless system, (ii) a causal system.
Problem 1 You are given the discrete-time LTI system with impulse response, Calculate the Fourier series coefficients of the output of this system when the input is x[n] = cos(n+π) Problem 1 You are given the discrete-time LTI system with impulse response, Calculate the Fourier series coefficients of the output of this system when the input is x[n] = cos(n+π)
(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 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
2. Linearity Consider a system given with the following impulse response: (5%) h[n] 4u[1 a) Is the system LTI? b) Is it causal? c) Is it stable? 2. Linearity Consider a system given with the following impulse response: (5%) h[n] 4u[1 a) Is the system LTI? b) Is it causal? c) Is it stable?
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]...
Consider a LTI system with impulse response h[n] = u[n]*a^n, where |a| < 1. a) Determine the frequency response of the system. b) Find the magnitude response and the phase response, given a = 1/2. No plots. c) Consider a LTI system whose impulse response h1[n] is a time-shifted version of h[n], i.e., h1[n] = h[n − n0]. Compute the frequency response H1(e^(jΩ)), and represent H1(e^(jΩ)) in terms of H(e^(jΩ)).