B.TECH - Semester 6 digital signal processing Question Paper 2021 (dec)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- Differentiate continuous-time and discrete-time signals with examples.
- Explain causality of a system.
- Differentiate energy and power signals.
- What is ROC in Z-transform?
- How to compute convolution of two time-domain sequences in Z-transform domain?
- Explain Parseval's theorem.
- State and prove circular time shifting property of DFT.
- Differentiate IIR and FIR systems.
- Give the direct form realization of $M$ length FIR filter.
- Explain lattice structure of digital filters. ( $\mathbf{1 0} \boldsymbol{\times} \mathbf{4} \boldsymbol{=} \mathbf{4 0}$ Marks) P.T.O. Answer one full questions from each Module. Each question carries 20 marks.
- (a) Define and sketch continuous-time and discrete-time exponential and ramp signals.
- (b) Obtain the convolution of the sequences $x[n]=\{1,2,3,4\}$ and 10 $h[n]=\{2,4,6\}$. OR
- (a) Determine whether the following system described by the input-output equations are linear or nonlinear
- (i) $y[n]=x\left[n^{2}\right]$ (ii) $y[n]=n x[n]$ (iii) $y[n]=x^{2}[n]$ (iv) $y[n]=A x[n]+B$
- (b) Determine the response of the system $h[n]=\{1,2,1,-1\}$ to the input sequence $x[n]=\{1,2,3,1\}$. Module - II
- (a) Prove that convolution property of $Z$-transform.
- (b) Determine the Z -transform of the signal $$ x[n]=-\alpha^{n} u[-n-1]= \begin{cases}0, & n \geq 0 \\ -\alpha^{n} & n \leq-1\end{cases} $$
- (a) Obtain the circular convolution of the sequence $x[n]=\{2,3,4,7\}$ and $h[n]=\{2,4,6,8\}$
- (b) Write a neat diagram explain any Radix-2 FFT algorithm.
- (a) Obtain the transposed direct form II structure for the system $$ y[n]=y[n-1]+4 y[n-2]+x[n]+\frac{1}{2} x[n-1]+x[n-2] $$
- (b) Obtain direct form II and cascade structure for the transfer function given below: $$ H(Z)=\frac{1+2 Z^{-1}+3 Z^{-2}}{1-\frac{2}{3} Z^{-1}+\frac{3}{4} Z^{-2}} $$ 10 OR
- (a) With neat diagrams describe different FIR structures.
- (b) Draw the direct form realization of linear phase FIR filter with minimum number of multipliers. $$ h[n]=\{1,0.5,0.25,3,0.25,0.5,1\} $$