An echo system - Impulse response of the echo system As discussed in task 1, the echo can be represented by a linear system of the form y[n] = x[n] + ax[n - N). In the above system, x[n] is the input signal and y[n] is the output signal. Use the echo time N = 5000, and echo amplitude : 0.8. a = i. Find the impulse response of the above echo system (analytical solution ; hand-written or typed). Write your answer in the below space.