1. Discuss in detail the multirate operation of up sampling and down sampling. Also differentiate between time-domain and frequency-domain analysis.

2. Explain the various identities of multirate operations. Also prove them.

3. With the help of a neatly labelled block diagram, give the polyphase representation of a decimated uniform Discrete Fourier Transform filter bank.

4. List the methods involved in the cancellation of aliasing errors, amplitude distortion and phase distortion of a Quadrature Mirror Filter Bank.

5. What are the conditions required for perfect reconstruction of a QMF bank List the steps involved in the design of an alias-free QMF bank.

6. Explain in brief the errors created by filter banks with unequal pass bandwidth. How can the above errors be minimized Explain.

7. What are Finite Impulse Response Perfect Reconstruction (FIR PR) systems How are such systems helpful in the factorization of polyphase matrices?

8. What are the necessary conditions for linear phase property? Give the lattice structure for LPPR FIR QMF bank.

9. List the steps involved in the synthesis of an M-channel LPPR filter bank. Give an example to support your answer.

10. Write short technical notes on any two of the following:

Design of Decimator

Uniform DFT Filter Bank

Aliasing and Imaging

Dynamic Range and Scaling