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Assignment Task :
(1) For the LTI systems described by the following difference equations, generate its impulse re sponse, and unit step response. Comment on the properties of the system.
(2) Solve the system difference equation y[n] 0.8y[n 1] = 0.5(x[n] + x[n 1]) with the intial condition is given by y[ 1] = 2. Plot the output sequence for input (a) x[n] = u[n] u[n 10] and (b) x[n] = 2(u[n] u[n 10]). Could the system be linear? Repeat the experiment with zero intial conditions
(3) Find the convolution of the following sequences. Plot the input and output sequences
4) Find the impulse repsone of the system y[n] = x[n] + x[n 1] + x[n 2]. Is it recursive system or non recursive systems? Compare the impulse response of the system with the question 1 in assignment-II. State whether it is FIR or IIR system.
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