a. For the following multirate system develop an expression for x(n) as a function Of y(n)

x(n) 7 — y(n)

b. Explain noble identities.

How can the noble identities be used for efficient structures for decimator and 6
interpolator? Give illustrations.

a.Explain the polyphase implementation of Uniform Filter Bank Sketch the analysis
section 4 Of an M channel filter bank with IDFT block

A four channel analysis uniform DFT filter bank has a set of filter transfer functions

Hk(z), k=0,1,2,3 and Ho(z) has polyphase components given as
Eo(z)=1+3z-1-0.82z-2 ६1{द} =-2-1.52-1-3.12-2
E2(z)=4-0.92z-14+2.3-2 ६3(2) =1+3.72.1+1.72-2

i) Determine Hot), Hi(z), H2(z), H3(z) 11) H2(z) has the magnitude response given as
sketch the same for Ho(z), Hi(z), H3(z)

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PART 13
a.State and prove Heisenberg's uncertainty principle.
Explain how it put restriction on spectral analysis of signals. 5

4,

b. Explain the axioms of MRA

a. Give the filter bank implementation of STFT. 4 b. Explain the 2 dimensional DWT
decomposition of a ൭1212 image. Give the filter bank structure. Explain the 2 dimensional

DWT decomposition of a 512x512 image. Give the 5 filter bank structure.

6.a How is progressive encoding possible in a wavelet decomposed image?
Given a DWT coefficient array for 3 levels on an image. Implement EZW or SPIHT

algorithm for coding the image ( do atleast 2 dominant passes).
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