Digital Signal Processing (IC) — Summer 2025

Check whether the system Y(n) = a x(n) + b is 1. Static –Dynamic 2. Linear – Non linear 3. Time invariant – Time variant

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

What are the basic elements of Digital Signal Processing of the system? State advantages of Digital over analog signal processing.

Explain with suitable example recursive and non-recursive system.

Perform the circular convolution of the two sequences x1(n)={2,1,2,1} and x2(n)={1,2,3,4}.

Represent the system transfer function using cascade form structure.

Determine the direct form I , form II and cascade realization for following system. Y(n)=x(n) - x(n-1) + 2 x (n-2) -3 y(n-1)+4y(n-2)

List basic structures of IIR systems and explain any one in brief.

Brief about overlap-add method for filtering of long data sequences.

Explain radix 4 FFT Algorithms.

Prove the Properties of DTFT.

Compute 4 point DFT of the given sequence x[n]= {1,2,3,4}

Draw 4 point DIF-FFT butterfly diagram.

Derive the lattice structures of FIR filters.

Discuss about Decimation in Frequency algorithm of FFT.

Explain symmetry properties of DFT.

With example explain signal flow diagram representations of Linear Constant-Coefficient Difference equations.

Enlist difference between FIR and IIR Filter.1

Explain in brief about impulse invariance method for IIR filter design.

What are the limitations of filter design by approximation of derivatives?

Give difference between radix-2 and radix-4 FFT algorithm

Explain Radix-2 Decimation in Time algorithm.

What is signal? List and explain any three type of signals.

Explain Hanning window technique for filter design.

List methods for filtering of long data sequence. Explain any one in detail.