2x) dt dra dx(0) dr Answer the following questions and upload your detailed solutions in Part a) The input signal x(t) a

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2x Dt Dra Dx 0 Dr Answer The Following Questions And Upload Your Detailed Solutions In Part A The Input Signal X T A 1 (45.03 KiB) Viewed 48 times

2x) dt dra dx(0) dr Answer the following questions and upload your detailed solutions in Part a) The input signal x(t) and the output signal y(t) of a linear time invariant (LTI) system are related by the differential equation: +7420 + 10y(t) = x(1) +8" + 15x(t). 1. [4 marks] Find the frequency response, i.e., H(0) = Y(0) X) of this system. 2. [4 marks] Find the impulse response of this system. 3. [4 marks] Find the frequency response of the inverse of this system. 4. [4 marks] Find the impulse response of the inverse of this system. b) The impulse response of a discrete-time linear and time invariant system is given by h[n] = 20 cos(n). 1. (4 marks] Sketch the discrete-time Fourier transform of h[n) over the radian frequency interval - <<x. 2. (5 marks] Find the output y[n] of this system to the input: x[n] = {dis + ed** + evt" + e*" + ele te " + e-*** + ferm. sin em +