ME – 062

*ME062*

II Semester M.E. (Electronics and Communication) Degree Examination, June/July 2015 (Y2K9 Scheme) EL 214 : DSP ALGORITHMS AND ARCHITECTURE Time : 3 Hours

Max. Marks : 100

Instructions : Answer any five full questions. Assume missing data suitably and state them. 1. a) Compute four point circular convolution of sequence n

x1(n) = s(n) – s(n – 2) and x2(n) = ⎜⎛ 1 ⎟⎞ using DIF-FFT and DIT-IFFT. ⎝2⎠ b) Find the range of values of ‘a’ and ‘b’ for stability of LTI system with impulse response ⎧⎪a n ; n ≥ 0 h(n) = ⎨ ⎪⎩bn ; n < 0

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c) Find inverse ‘z’ transform of x(z ) = ROC.

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z 8z 2 − 5z + 1

and mention the different 5

2. a) Design a band stop filter to reject frequencies in the range 1 to 2 rad/sec. Using rectangular window with N = 7. Realise the structure of the filter.

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b) Design a Chebystev digital filter using bilinear transformation for following specification 0.707 ≤ H(ω) ≤ 1

H(ω) ≤ 0.2

0 ≤ ω ≤ 0.2π

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0.4π ≤ ω ≤ π

3. a) Show that the decimeter is linear and time invariant.

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b) Obtain the steady state noise power due to quantization when the binary sequence is represented by ‘b’ bits.

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c) For a digital system y(n) = 0.9 y(n – 1) + x(n) with x(n) = 0 and y(–1) = 12. Find the dead band of the system.

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P.T.O.

*ME062*

ME – 062 4. a) Explain the architecture and salient features of a DSP processor.

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b) Compare the architectural features of TMS 320 series and ADSP2 series of DSP processors.

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5. a) Explain the different types of representation of DSP algorithm with examples. 10 b) Explain minimum cycle mean algorithm used to compute the iteration bound in DSP algorithm. 10 6. a) Explain life time analysis procedure used to compute minimum number of registers required to implement DSP algorithm in hardware.

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b) Explain system modelling, system identification and adaptive equalisation in adaptive filters. 10 7. a) Give the expression for more wavelet and mention any four properties of wavelet transform.

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b) Explain the minimum mean square error method for obtaining optional filter coefficients. 8. Write short notes on :

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(10+10)

1) Application of DSP in RADAR 2) DSP algorithm used in video application. _______________________