Digital Signal Processing (IC) — Summer 2024

Draw block diagram of Digital Signal Processing & compare Digital signal processing over Analog signal Processing.

Write a short note on frequency domain sampling and reconstruction of discrete – time signals.

Consider the analog signal X (t)=3 cos 100лt a

Determine the minimum sampling rate required to avoid aliasing.

Suppose that the signal is sampled at the rate F = 200 Hz What s is the discrete-time signal obtained after sampling?

Enlist difference between FIR and IIR Filter

Compute the DFT of the following: (1) x(n) = δ(n)

Explain Direct form - Istructure of IIR system in brief.

Explain Direct form - II structure of IIR system in brief.

Give classification of signals in detail.

State & Prove linearity property of DFT.

For a given discrete time systems,

y(n)= x(2n)

y(n)= sin⁡[x(n)] Check whether they are: (1) Static or dynamic (2) Linear or non-linear

Explain with suitable example recursive and non-recursive system.

Explain symmetry properties of DFT.

For a given discrete time systems,

Explain with example following operations on signal. 1)Time Shifting 2) Time Reversal

Perform circular convolution of x(n)={2,1,2,1} and y(n)={1,2,3,4}

Compute 4 point DFT of sequence x(n)={1,2,3,4}.1

Explain with example following operations on signal. 1)Amplitude Scaling 2) Time Scaling

Obtain the linear convolution of x (n) = {1,2,2,1} h(n) = {1,2,1}

Determine IDFT of x(k)={2,1+j,0,1-j}.

Write advantages of the FFT algorithm.

Explain bilinear transformation method for FIR filter design.

Find FFT of x(n)={1,2,3,4} using DIT FFT Algorithm.

Explain the term radix in FFT.

Explain Impulse Invariance Method for IIR filter design.

Find FFT of x(n)={1,2,3,4} using DIF FFT Algorithm.