B.TECH - Semester 4 digital signal processing Question Paper 2019 (jun)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- 404 DIGITAL SIGNAL PROCESSING (AT) Time : 3 Hours Max. Marks 100 Answer all questions in one or two sentences. Each question carries 1 mark.
- Comment on the computational complexity involved in the computation of the DFT of an N-point discrete time sequence using radix-2 FFT algorithm.
- The first five points of the 8 -point DFT of a real sequence are $\{21,-4+j 9.535$, $-4+j 4,-4+j 1.5634,-4\}$. Determine the remaining three points.
- Briefly explain the difference between FIR filters and IIR filters.
- Explain prewarping.
- Differentiate between Butterworth filters and Chebyshev filters.
- Explain how linear phase is achieved in FIR filters.
- Briefly explain the difference between truncation and rounding with examples.
- Obtain the direct form realization structure with minimum number of multipliers for the linear phase FIR filter defined by $$ H(z)=0.1+0.23 z^{-1}+0.016 z^{-2}+0.25 z^{-3}+0.016 z^{-4}+0.23 z^{-5}+0.1 z^{-6} $$ P.T.O.
- Explain upsampling with an example.
- Explain the concept of pipelining. ( $\mathbf{1 0} \boldsymbol{\times} \mathbf{2} \boldsymbol{=} \mathbf{2 0}$ Marks) Answer ONE full question from each module. Each question carries 20 marks.
- (a) Derive and draw the flow graph to find the radix-2 FFT of an eight point sequence using DIT-FFT algorithm.
- (b) Find the 8 -point FFT of the sequence $x[n]=\{1,2,1,1,1\}$ using the DIT-FFT flowgraph.
- (a) Prove the convolution property of DFT.
- (b) Consider a sequence $x[n]=\{1,1,1,0,1,1,1,2\}$ with DFT $X(k)$. Determine the following functions without evaluating the DFT.
- (i) $X(0)$ (ii) $\sum[X(k)]^{2}$
- (a) Design a digital Chebyshev filter for the given specifications using bilinear transformation (Use $\mathrm{T}=1 \mathrm{sec}$ ) $$ \begin{aligned} & 0.8 \leq\left[H\left(e^{j \omega}\right) \leq 1\right] \quad 0 \leq \omega \leq 2 \pi \\ & {\lef...
- (b) Obtain the transfer function of a normalized second order analog ButterWorth low pass filter.
- (a) Design a linear phase FIR filter to meet the given magnitude response specifications. $$ \begin{aligned} H\left(e^{j \omega}\right) & =e^{-j 5 \omega} & & \pi / 2 \leq|\omega| \leq \pi \\ & =0, & & \text { otherwise } \end{aligned} $$ Use a sui...
- (b) Explain bilinear transformation.
- (a) Obtain the direct form I, direct form II, and parallel realization structures for the UR filter defined by $y[n]=-0.1 y[n-1]+0.72 y[n-2]+0.7 x[n] -0.252 x(\dot{n}-2)$
- (b) Obtain the transposed direct form II realization structure for the above case.
- (c) Realize the given system with difference equation $y[n]=3 / 4 y[n-1]-1 / 8 y[n-2]+x[n]+1 / 3 x[n-1]$ in cascade form.
- (a) Explain the different finite wordlength effects in FIR.
- (b) An FIR filter is given by the difference equation $y[n]=x[n]+1 / 3 x[n-1]+0.5 x[n-2]+1 / 3 x[n-3]$. Determine the lattice structure.
- (a) Explain the architecture of TMS320C6713 DSP processor.
- (b) Explain subband coding.
- (a) Obtain the frequency domain interpretation of a decimator.
- (b) Explain the frequency domain interpretation of an interpolator?
- (c) Define a multirate signal processing system with an example. G - 3618