DIGITAL SIGNAL PROCESSING PAPER 2

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DIGITAL SIGNAL PROCESSING EC 310 6th Sem. May 2k5

Note: Section A is compulsory. Attempt any Four questions from Section B and two from Section C. Assume any missing data.

Section A Marks 2 each

1.

1. Differentiate between linear and nonlinear systems.



2. How the stability of the linear time variant system is calculated?



3. What is the use of convolution of two sequences. Give one example.



4. Compute the Fourier Transform of the signal
5. x(n) = u(n) – u(n-6)

1. Briefly explain the time shifting and time reversal properties of the Fourier Transform.
2. In the implementation of a digital system what are the effects of finite-word-length?
3. Illustrate the difference between cascade-form structure and parallel-form structure of discrete-time systems.
4. Give the various steps involved in the design of FIR filter.
5. List the various methods for calculating the coefficients of IIR filters.
6. State the sampling theorem of signals. What will be the sampling rte if the maximum frequency component in an analog signal is 3 kHz.

Section B Marks 5 each

2. Discuss the advantages and disadvantages of digital signal processing over analog signal processing.

3. Compute the convolution y(n) of the signals;
x(n) = u(n) – u(n-5)
h(n) = u(n-2) –u(n-8) +u(n-11) –u(-17)

4. Determine the causal signal x(n) if its z-transform x(z) is given by:
(please see the attachment)

5. Give the comparison of the performance of IIR and FIR filters.

6. obtain the direct form 1, cascade and parallel structure for the following system:

Y(n) = ½ y(n-1) + ¼ y(n-2) + x(n) + x(n-1)

Section C Marks 10 each

7. It is required to design a digital filter to approximate the following normalized analog transfer function:
(please see the attachment)

using the impulse invariant method. Obtain the transfer function H(z) of the digital filter assuming a 3=decibel cutoff frequency of 160 Hz & sampling frequency of 1.26 kHz.

8.(a) Differentiate between discrete Fourier Series and Discrete Fourier Transform. What do you mean by periodic convolution?
(b) Discuss the properties of DFT.

9. Write short notes on the following:
(a) Effects of coefficient quantization.
(b) Features of TMS/ADSP series of digital signal processors.