1) Two finite duration sequences are given by and By using DIT FFT algorithm:

a) find out 4 point DFT of (3)

b) find out 4 point DFT of (3)

c) Determine y(n), the inverse DFT of Y(K)

2) a) Find the 8 point DFT of by using DIF FFT algorithm.

b) Determine the circular convolution of and by using graphical method.

3) A Band Reject Filter of length 7 is needed. The lower and upper cut off frequencies is 3 KHz and 5 KHz respectively. The sampling frequency is 20 KHz. Determine the filter coefficient using a Hamming window. Suppose the filter is to be causal.

4) describe the Matlab programme to determine the DFT of by using FFT algorithm. The programme should be written without using in built command. The final result should be printed in stage by stage manner.

5) prepare down the Matlab programme to detrmine the linear and circular convolution of the programme should be written without using in-built command. Also provide the in-built command available to determine the linear and circular convolution.

6) describe the internal architectural details of the TMS320C5X processor.

7) describe the internal architectural details of the ADSP21XX processor.