B.TECH - Semester 6 digital signal processing Question Paper 2019 (jun)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- 604 : DIGITAL SIGNAL PROCESSING (R) Time : 3 Hours Max. Marks : 100 PART - A Answer all questions. Each question carries 4 marks. :
- Plot $e^{a t}$ for different cases of a.
- Find the period of $\sin \left(\frac{n \pi}{10}\right)$.
- What is the relation between DTFT and DFT?
- Define invisibility of a system.
- Explain the differentiation property of Fourier transform.
- How the stability can be determined from ROC?
- Draw typical impulse responses of FIR and IIR filters.
- What is the importance of FFT?
- Compare direct form and cascade realization in terms of speed, cost and efficiency.
- Find the R $H(z)$ for the system described by the equations, $y[h]=-y[n-1]+z y[n-2]+x[n-3]$. Answer any one full questions from each Module.
- (a) Check for stability, causality, linearity and time invariance for the systems,
- (i) $\left.y[n]=x[n]+\frac{1}{x[n-1}\right]$ (ii) $y[n]=x\left[n^{2}\right]$.
- (b) Express the continuous time impulse signal using the unit step signal.
- (a) Find the output of a system whose impulse response, $h[n]=2 u[n]-u[n-2]-u[n-3]$, for the input $x[n]=2^{-n} u[n]$.
- (b) Sketch and label the signals
- (i) $\quad 2^{-t} \delta(t)$ (ii) $\delta(t) * u(t)$ (iii) $\delta[n-1] u[n-2]$ (iv) $\delta[n-1] * u[n]$.
- (a) Find the inverse $z$-Transform of $X(z)=\log \left(1-0.5 z^{-1}\right),|z|>0.5$.
- (b) Find the 4-point FFT using DIF algorithms, for $x[n]=\sin \left(\frac{2 n \pi}{3}\right)$.
- (a) Find the inverse DFT of $X[v]=\{1,0,-1,2\}$ using DIT algorithm.
- (b) Find the $z$-Transform and ROC for, $h r^{n} \sin (w h) u[n]$.
- (c) Evaluates the frequency response for the system function, $H(z)=\frac{1}{1-0.5 z^{1}}$.
- (a) Draw the lattice structure for $$ H(z)=\frac{1+2 z^{-1}+2 z^{-2}+z^{-3}}{1+\frac{13}{24} z^{-1}+\frac{5}{8} z^{-2}+\frac{1}{3} z^{-3}} $$
- (b) Draw the linear phase structure for N odd.
- (a) Draw the direct form I, II cascade and parallel structures for $$ H(z)=\frac{8 z^{3}-4 z^{2}+11 z-2}{(z-0.5)\left(z^{2}-z+0.5\right)} $$
- (b) What are the needs and applications of linear phase structures? Why linear phase implementation is difficult with IIR filters?