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Question 2 Not yet answered Marked out of 25.00 P Flag question Question 2 [25 marks]: d’r(t) d+2 +7 dy(t) dt dt of this system. Answer the following questions and upload your detailed solutions in Part C: a) The input signal æ(t) and the output signal y(t) of a linear time invariant (LTI) system are related by the differential equation: dºg(t) dä(t) + 10y(t) = dt? +8 + 15x(t). Y(jw) 1. [4 marks] Find the frequency response, i.e., H(jw) = 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 h[n] = 2[ 1. [4 marks] Sketch the discrete-time Fourier transform of h[n] over the radian frequency interval –ī <W< . 2. [5 marks] Find the output y[n] of this system to the input: x [n] = lejon teijn + te 3 + + - 3 n te it in te -ja in rsin(5,r)] cos(5n). = πη n 5л n 6 e + že je to ne In the following response box, confirm that you have completed the workings for this question, and you will upload your workings for this question to the part C submission area to gain marks.