dºgt) dä(t) dt2 +7 dy(t) dt dt? dt a) The input signal (t) and the output signal y(t) of a linear time invariant (LTI) s

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Dogt Da T Dt2 7 Dy T Dt Dt Dt A The Input Signal T And The Output Signal Y T Of A Linear Time Invariant Lti S 1 (683.26 KiB) Viewed 26 times

dºgt) dä(t) dt2 +7 dy(t) dt dt? dt a) The input signal (t) and the output signal y(t) of a linear time invariant (LTI) system are related by the differential equation: d’z(t) +10y(t) = +8 + 15x(t). Y(jw) 1. [4 marks] Find the frequency response, i.e., H(jw) of this system. X(jw)' 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 = sind Fr)] cos(žn). = h[n] = 2 1. [4 marks] Sketch the discrete-time Fourier transform of h[n] over the radian frequency interval –a < W< T. 2. [5 marks] Find the output y[n] of this system to the input: x[n] = {eign tejgn tejën + bevon + že jēr + e-jgn + 2 57 27 п + 6 e e + že je