1) Find out whether given system is shift-invariant and linear Y(n) = nx2(n).

2) Determine the Z – transform of x(n) = u(n) – u(n-10).

3) Determine the linear and circular convolution of {1,4,2,1} and {3,0,5,1}.

4) Determine the Discrete Fourier Series expansion of x(n) = A cos (n.π/2).

5)a) What is meant by linear phase?  prepare down the condition to be satisfied by impulse response in order to have a linear phase?

b) prepare down the desirable characteristics of ‘window’ function.

6) Compute the quantization error for a 16-bit ADC with the input voltage range of ±12v.

7) Find out the impulse response and frequency response of filter defined by y(n) = x(n) + y(n-1).

8) Create the cascade and parallel realization of system described by difference equation y(n) + (3/8) y(n-1) – (3/32) y (n-2) – (1/64) y(n-3) = x(n) + 3x(n-1) + x(n-2).