No. ೦? Pages: 2

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

FRST SEMESTER M. TECH DEGREE EXAMINATION,
DECEMBER 2018

Branch: Electronics and Communication Engineering

Stream(s): 1: Applied Electronics And Instrumentation

2: Telecommunication Engineering

01EC6105 Advanced Digital Signal Processing

Answer any n-vofull questions from each part
Limit answers to the required points.
Max. Marks: 60 Duration: 3 hours
PARTA

. a. Simplify the given system using identities and find an expression for y(n) in terms of 5 x(n).
x{n) −−⋅− −−− y(n)
[25 }—{42 +414} ‏بت‎

Also verify the result for the input x(n)=
"XO 41 X2 X3 X4 25 26 ೫7% XO )

b. Derive the implementation of Uniform DFT filter bank using potyphase decomposition. 4
2. a.Describe polyphase decomposition of a filter function H(z). 7
How polyphase decomposition be used for efficient realization of decimators and
interpolators ?
b. State the noble identities that help in reduction of multirate systems 2

the sequence x(n) with X(e) as 00% in
+ (೮1೪)
பசி
3. ദ. 0510 ‏3۔‎ १/३ ಕಾ figure. Let y(n)=x(3n). Plot¥(e”®).5
Also show how can we recover x(n) from y(n) using filters and multirate blocks
6. Give the conditions for perfect reconstruction QNfF. 4
Draw the computationally efficient realisation of perfect reconstruction QNfF using

polyphase decomposition.