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RAJ KUMAR GOEL INSTITUTE OF TECHNOLOGY FOR WOMEN, GHAZIABAD DIGITAL SIGNAL PROCESSING /NAVEEN DUBEY ASSIGNMENT-2 DATE OF SUBMISSION- 25/03/2015 ------------------------------------------------------------------------------------------------ 1. Find the relation between the DFT of x[n] and the DFT of x[n], the complex conjugate sequence. 2. Draw the basic butterfly diagram for a single Radix-2 Decimation in Time algorithm. In general compute the number of complex multiplication and additions required. 3. You have written a code for computing N point DFT. How will you use the same code to compute the Inverse DFT. 4. Develop a radix-3 DIT algorithm for N= 3 V and draw the butterfly diagram for N = 9. How many computations are required? 5. Show how to compute DFT of a sequence of length 24 , using three 8 point DFTs. 7. Give solutions for question no. mention below Book: Exercise (review questions): DSP, S Salivahan,A Vallavaraj & C Gnanapriya , 2 nd Edition 6.46, 6.47,6.51,6.57,6.60,6.65, 6.66 8. Assume a 8 point sequence and calculate the DFT coefficients using basic method and verify your answer using FFT-DIT, FFT-DIF

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  • RAJ KUMAR GOEL INSTITUTE OF TECHNOLOGY FOR WOMEN,

    GHAZIABAD

    DIGITAL SIGNAL PROCESSING /NAVEEN DUBEY

    ASSIGNMENT-2 DATE OF SUBMISSION- 25/03/2015

    ------------------------------------------------------------------------------------------------

    1. Find the relation between the DFT of x[n] and the DFT of x[n], the

    complex conjugate sequence.

    2. Draw the basic butterfly diagram for a single Radix-2 Decimation in

    Time algorithm. In general compute the number of complex

    multiplication and additions required.

    3. You have written a code for computing N point DFT. How will you

    use the same code to compute the Inverse DFT.

    4. Develop a radix-3 DIT algorithm for N= 3V and draw the butterfly

    diagram for N = 9. How many computations are required?

    5. Show how to compute DFT of a sequence of length 24 , using three 8

    point DFTs.

    7. Give solutions for question no. mention below Book: Exercise (review questions): DSP, S Salivahan,A Vallavaraj & C Gnanapriya , 2

    nd Edition

    6.46, 6.47,6.51,6.57,6.60,6.65, 6.66

    8. Assume a 8 point sequence and calculate the DFT coefficients using

    basic method and verify your answer using FFT-DIT, FFT-DIF