Osmania University (OU) 2006-2nd Sem B.E Electronics & Tele-Communication Engineering 3/4 (E.C.E)(ESTER)SUPPLEMENTARY ,IL, Digital signal processing - Question Paper
B.E 3/4 (E.C.E)(II-SEMESTER)SUPPLEMENTARY EXAMINATION,APRIL,2006
Digital signal processing
Cede No. 16392
FACULTY OF ENGINEERING B.E. 3/4 (ECE) (H*Semester) Main Examination, AprH 2906 DIGITAL SIGNAL PROCESSING
Tunc: Three Hours] [Maximum Marks: 75
Answer AU questions of Part A,
Answer FIVE questions from Pari B.
PARTA (Marks: 25)
1. List out four advantages of digital filters over analog filters.
2. State whether the following system is linear, stable and causal:
y(n) - x(n).
3. Thez-transfbfmof)is
4. Distinguish between D l JKT, DFT and continuous Fourier transform.
5. State the differences between DIT FFT and DIF FFT algorithms.
6. The DTFT of x*(-n) interms ofX(eiw) is
7. What are the desirable properties of Windows ?
8. State the conditions under which FIR fitters have linearphase characteristics.
9. Match the following: '
type of filter Frequency response
(a) Chebyshev (1) EquirippteinPBandSB
(b) Elliptic (2) Monotonic in PB and SB
(c) Butterworth (3) Equiripple only in one band.
10. If the analog filter transfer {unction is H(s) = find the transfer function oithe digital filter using impulse invariant method.
PARTB
(Marks: 5*1050)
11. (a) Find and sketch the frequency response of the system
y(n) - 5y(n - 1) + 6y(n - 2) = 2x(n) + 4x(n -1).
(b) Compute thecircular convolution of the sequences x(n) and h(n) where x(n) = [4,6,8,2] and h(n) = [3,5,7].
12. (a) Check whether the following systems are linear, shift invariant and causa!
N
(i) y(n)=rix(n~k)
k=i , '' n; - '
gX(r!>
(b) Prove that the magnitude response of a digital filter is an even function of W.
13. (a) Find the DFT of the foilownjg sequences:
CO x(2n) , .
(ii) x*(n).
(b) Let X(k) be a N-point DFT of the N-pointsequence x(n).
If x(n) = ~x(N -1 - n), find X(0).
14. (a) Draw the signal flow graph of 8-point D1T FFT algorithm and explain.
(b) Hence calculate the FFT coefficients of the sequence
x(n) = [0,2, 1,2,-1,-2,-I]. . ..
15. (a) State the properties of FIR filters.
(b) Design a linear phase band pass FIR digital filter of length 9 to meet the following specifications: Pass band :... 1000 Hz to 2000 Hz
Sampling frequency : 10 kHz Use Bertlett window.
BCD-574 2 (Caitd.)
16. (a) Compare impulse invariant and Bilinear transformation methods.
(b) Design adigital Butterworth low pass filter to meet the following specifications Pass band frequency : 200 Hz Stop band frequency ; 1000 Hz Pass band attenuation : 3dB Stop band attenuation : 5:20 dB Assume suitable sampling frequency.
17. (a) Draw the diagram of a speech production system and explain.
(b) Explain how voiced/unvoiced sounds can be detected
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