Digital Signal Processing (Department Elective-II) — Summer 2018

Define following discrete time functions (1) Unit impulse (2) Unit step (3) Unit ramp

Explain following terms of discrete time system with example (1) Recursive and Non recursive system (2) Causal and Anti-causal system

Define sampling. State and explain sampling theorem.

State the properties of z-transform.

Define Z-transform and state the importance of ROC

Determine the z-transform and ROC of the signal x(n) = [3(2n)-4(3n)] u(n)

Classify the discrete time systems

Adiscrete time signal is given by, x(n) = { 1, 1, 1, 1, 2 } the find out x(n-1) . δ(n-1)

Determine the inverse z-transform of x(n) = 1/(1 - 1.5z-1 + 0.5z-2)

Find the convolution of two finite duration sequences. (1)When a = b and (2) when a ≠ b h(n) = an u(n) for all n x(n) = bn u(n) for all n

Explain the warping effect in IIR filter

Compare Impulse Invariance and Bilinear Transformation method in IIR filter

Explain the following terms in FIR filter (1) Hamming window (2) Blackman window (3) Hanning window

List out advantages and disadvantages of FIR filter

Determine whether the system is time invariant or not y(n) = x(n)+nx(n-1)

Explain the properties of DFT

Determine whether the system is causal or not (1) y(n) = x(-n+2) (2) y(n) = y(n) = x(n2)

Explain the MAC unit in Digital signal processors.

Explain the radix-2 DIT - FFT algorithm.1

Realize a linear phase FIR filter with following impulse response H(z) = 2 z+1+ 2 z-1, also determine the output response33

Draw direct form Istructure for first order system: y(n) = −a y(n−1)+b x(n)+b x(n−1)101

Find out H(z) using invariance method at 5Hz sampling frequency from H(s) as2 given by; H(s) = (s+1).(s+2)

Explain the difference between fixed point and floating point digital signal processor.

Explain the concept of pipelining in DSP.

Describe any one type of DSP architecture.