MODERN DIGITAL SIGNAL PROCESSING

MODEL PAPER-4===============================================================Time Duration: 100mins Max. Marks: 60M =============================================================== Section-A1. Answer all the Questions 10*1=10M

a. What do you understand by multi rate signal processing?

b. What is the role of low pass filter in decimation by a factor D?

c. Distinguish between decimation and interpolation?

d. Give the applications of MDSP?

e. What is up sampling?

f. When a stationary random process is white?

g. Which method is called All-Pole method?h. Which method gives two or more peaks instead of single peak?

i. Draw the p-stage lattice filter.j. State the aliasing effect during down sampling.

Section-B

II. Answer any Five questions. Each question carries 10 marks. 5*10=50M

1. Design the model based approach to power spectral estimation. Define AR, MA and ARMA models. And illustrate the ARMA model for spectrum estimation.

2. Show that the variance of the Bartlett power spectrum estimate has been reduced by the factor K.

3. Derive the power spectral density for AR Models using Burg Method.4. An AR(3)process{x(n)}is characterized by the autocorrelation sequence

(0)=1, (1)==1/2, (2)=1/8, (3)=1/64. Determine the three reflection

coefficients and .5. Determine the frequency, its power, and the variance of the additive noise

having autocorrelation values (0)=3, (1)==1 and (2)=0. 6. The signal y(n) consists of complex exponentials in white noise. Its

autocorrelation matrix is Use the MUSIC algorithm to

determine the frequencies of the exponentials and their power levels.7. Determine the mean and the autocorrelation of the sequence x(n), which is the output of an ARMA process described by the difference equation

where is a white noise process with

variance .