EC2314 Digital Signal Processing Sample Question Bank : valliammai.co.in
Name of the College : Valliammai Engineering College
Subject : Digital Signal Processing
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Valliammai Digital Signal Processing Question Paper
QUESTION BANK
UNIT I
PART A
1. Define Nyquist rate.
2. Define sampling theorem.
3. What is known as Aliasing?
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4. What are even and odd signals?
5. Given a continuous time signal x(t)=2cos500pt. What is the Nyquist rate and fundamental
frequency of the signal?
6. Determine whether x[n]=u[n] is a power signal or an energy signal.
7. What is the Nyquist rate for the signal xa(t)=3 cos 600pt + 2 cos 1800 pt?
8. Determine the fundamental period of the signal cos
9. Consider the analog signal x(t)=3 cos 50pt + 10 sin 300 pt – cos 100 pt. What is the Nyquist rate for this signal.
10. Mention few applications of Digital Signal processing.
11. What are the different types of representation of discrete time signals?
12. What is Energy and Power signals?
13. What are the classification of system.
14. What are the classification of signals.
15. Define recursive systems.
16. Determine the system described by the equation y (n) = n x (n) is linear or not.
17. Check whether the signal defined by x(n) = [5 (1/2)n + 4 (1/3)n ] u(n) is causal.
18. What do you mean by BIBO stable?
19. What is anti aliasing filter? What is the need for it?
20. Define staic and dynamic systems.
PART B
1. (i) What is meant by energy and power signal? Determine whether the following signals are
energy or power or neither energy nor power signals.
(1) x1(n)=(1/2)nu(n)
(2) x2(n)=sin(pn/6)
(3) x3(n)=ej(pn/3+p/6)
(4) x4(n)=e2nu(n) (12)
(ii) Explain the concept of quantization. (4)
2. Check for following systems are linear, causal, time invariant, stable, static (16)
(i) y(n)=x(1/2n)
(ii) y(n)=sin(x(n))
(iii) y(n)=x(n)cos(x(n))
(iv) y(n)=x(-n+5)
(v) y(n)=x(n)+nx(n+2)
UNIT II
PART A
1. Find the 4-point DFT of the sequence x(n)={1,1}
2. What is FFT? What is it advantage?
3. Differentiate IIR and FIR filter.
4. What is the relation between DFT and Z transform?
5. Draw the butterfly diagram for DITFFT.
6. Calculate DFT of x(n)={1,1,-2,-2}.
7. Differentiate between DIF and DIT.
8. Draw the basic butterfly diagram for Radix 2 DITFFT.
9. Write the DTFT for (a) x(n )= anu(n ) (b) x(n )=4d(n ) -3 d(n-1).
10. Find the discrete Fourier Transform for d(n).
11. Draw the basic butterfly diagram for DIF algorithm.
12. Draw the butterfly diagram for decimation in time FFT algorithm.
13. State circular frequency shift property of DFT.
14. Compare DIT radix-2 FFT and DIF radix-2 FFT.
15. Define Twiddle factor and what are its properties?
16. List the properties of DFT
17. What is zero padding? What are its uses?
18. How many multiplications and additions are required to compute N-point DFT using radix – 2 FFT?
19. State and prove Parseval’s relation for DFT.
20. What do you mean by the term bit reversal as applied to DFT?
PART B
1. (i) State and prove convolution property of DFT. (6)
(ii) Find the inverse DFT (10)
2. (i) Derive the decimation-in time radix-2 FFT algorithm and draw signal flow graph for 8- point sequence. (8)
(ii) Using FFT algorithm, compute the DFT of x(n)={2,2,2,2,1,1,1,1}. (8)
3. (i) Explain the following properties of DFT.
(1) Convolution.
(2) Time shifting
(3) Conjugate Symmetry. (10)
(ii) Compute the 4 point DFT of x(n ) ={0,1, 2,3}. (6)
4. (i) Explain the Radix 2 DIFFFT algorithm for 8 point DFT. (8)
(ii) Obtain the 8 point DFT using DITFFT algorithm for (8)
5. An 8-point sequence is given by x(n)={2, 2, 2, 2, 1,1,1,1}. Compute 8-point DFT of x(n) by radix DIT-FFT method also sketch the magnitude and phase. (16)
6. Determine the response of LTI system when the input sequence is x(n)={-1,1,2,1,-1} using radix 2 DIF FFT. The impulse response is h(n)={-1,1,-1,1}. (16)
7. (i) Describe the following properties of DFT.
(1) Time reversal
(2) Circular convolution. (10)
(ii) Obtain the circular convolution of
x1(n)= {1, 2, 2, 1}
x2( n) ={1, 2, 3, 1} (6)
8. Find the output y[n] of a filter whose impulse response is h[n]={1,1,1} and input signal x[n]={3,-1,0,1,3,2,0,1,2,1} using overlap save method. (16)
9. (i) The first five points of the eight point DFT of a real valued sequence are {0.25, 0.125 – j0.3018, 0 , 0.125 – j0.0518 , 0 }. Determine the remaining three points. (4)
(ii) Compute the eight point DFT of the sequence x=[1,1,1,1,1,1,1,1], using Decimation-in-Frequency FFT algorithm. (12)
10. (i) Determine 8 point DFT of the sequence x(n)={1,1,1,1,1,1,0,0,0}. (12)
(ii) Find circular convolution of the sequence using concentric circle method x1={1,1,2,1} and x1={1,2,3,4} (4)
UNIT III
PART A
1. What is pipelining? What are the different stages in pipelining?
2. What is the function of parallel logic unit in DSP processor?
3. What is meant by bit reversed addressing mode? What is the application for which this addressing mode is preferred?
4. Compare the RISC and CISC processors.
5. List the various registers used with ARAU.
6. What are the different buses of TMS 320C54x processor and list their functions?
7. Define periodogram.
8. Define Gibbs phenomena.
9. Mention the features of DSP processor.
10. What is the condition for linear phase in FIR filters?
11. Define warping.
12. What is BSAR instruction? Give an example.
13. Give the special features of DSP processors.
14. What is pipelining?
15. Mention one important feature of Harvard architecture.
16. What is the advantage of pipelining?
17. Compare fixed point arithmetic and floating point arithmetic.
18. What is meant by rounding? Discuss its effects?
19. List out the features of TMS 320 C54 processors.
20. What are the 3 quantization errors due to finite word length registers in digital filters?
PART B
1. (i) Draw the block diagram of Harvard architecture and explain. (8)
(ii) Explain the advantages and disadvantages of VLIW architecture. (8)
2. Write short notes on
i. Memory mapped register addressing
ii. Circular addressing mode
iii. Auxiliary registers (6+6+4)
3. Explain various addressing modes of a digital signal processor. (16)
4. Draw the functional block diagram of a digital signal processor and explain. (16)
5. Explain Von Neumann, Harvard architecture and modified Harvard architecture for the computer. (16)
6. (i) Explain how convolution is performed using a single MAC unit. (8)
(ii) What is MAC unit? Explain its functions. (8)
7. Explain in detail about MAC unit and pipelining. (16)
8. Explain the addressing formats and functional modes of a DSP processor. (16)
9. Explain the architecture of TMS320C50 with a neat diagram. (16)
10. Describe the Architectural details and features of a DSP processor. (16)