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    Assignment 02 Assessment

    Uploaded by

    Lalita Karanjekar
    This document contains 6 assignments related to digital signal processing and discrete Fourier transforms (DFTs). Specifically, it asks the student to: 1) Calculate DFTs using direct and inverse DFT algorithms for given sequences. 2) Develop and draw flow diagrams for DIT-FFT algorithms with different decomposition factors. 3) Find the time domain sequence from a given frequency domain representation using DIT-FFT. 4) Compute a DFT using DIT-FFT and sketch the magnitude spectrum. 5) Determine the zero locations and phase properties of given FIR systems. 6) Find the transfer function and impulse response of a linear phase FIR filter given one zero location.

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    Assignment 02 Assessment

    Uploaded by

    Lalita Karanjekar
    16 views1 page
    This document contains 6 assignments related to digital signal processing and discrete Fourier transforms (DFTs). Specifically, it asks the student to: 1) Calculate DFTs using direct and inverse DFT algorithms for given sequences. 2) Develop and draw flow diagrams for DIT-FFT algorithms with different decomposition factors. 3) Find the time domain sequence from a given frequency domain representation using DIT-FFT. 4) Compute a DFT using DIT-FFT and sketch the magnitude spectrum. 5) Determine the zero locations and phase properties of given FIR systems. 6) Find the transfer function and impulse response of a linear phase FIR filter given one zero location.

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    This document contains 6 assignments related to digital signal processing and discrete Fourier transforms (DFTs). Specifically, it asks the student to: 1) Calculate DFTs using direct and inverse DFT algorithms for given sequences. 2) Develop and draw flow diagrams for DIT-FFT algorithms with different decomposition factors. 3) Find the time domain sequence from a given frequency domain representation using DIT-FFT. 4) Compute a DFT using DIT-FFT and sketch the magnitude spectrum. 5) Determine the zero locations and phase properties of given FIR systems. 6) Find the transfer function and impulse response of a linear phase FIR filter given one zero location.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    16 views1 page

    Assignment 02 Assessment

    Uploaded by

    Lalita Karanjekar
    This document contains 6 assignments related to digital signal processing and discrete Fourier transforms (DFTs). Specifically, it asks the student to: 1) Calculate DFTs using direct and inverse DFT algorithms for given sequences. 2) Develop and draw flow diagrams for DIT-FFT algorithms with different decomposition factors. 3) Find the time domain sequence from a given frequency domain representation using DIT-FFT. 4) Compute a DFT using DIT-FFT and sketch the magnitude spectrum. 5) Determine the zero locations and phase properties of given FIR systems. 6) Find the transfer function and impulse response of a linear phase FIR filter given one zero location.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 1

    Assignment 02

    1. If x(n)=[1+2j, 3+4j, 5+6j,7+8j]. Find DFT X(k)using DIFFFT.


    ii) Using the results obtained in (i) above and not otherwise, Find DFT of following
    sequence: x1(n)=[1 3 5 7] and x2(n)=[2 4 6 8].

    2. Develop DIT-FFT algorithm for decomposing the DFT for N=6 and draw the flow
    diagram for i)N=2X3 ii)N=3X2

    3. X(k)=[36, -4+j9.656, -4+4j, -4+j1.656, -4, -4-j1.656, -4-j4, -4-j9.656]


    Find x(n) using DIT-FFT algorithm.

    4. Compute DFT of a sequence, x(n)=[1 2 2 2 1 0 0 0] using DIT-FFT algorithm. Sketch its


    magnitude spectrum.
    5. Determine zeros of following FIR system and indicate whether the system is
    minimum phase, maximum phase or mixed phase.
    H 1 ( z )=6+ z−1−z−2
    H2 5 2
    ¿
    ( z) =1− ( 3 ) z −( 3 )z
    −1 −2
    ¿

    6. One of the causal linear phase FIR filter is at 0.5e^(jpi/3). Show the location of other
    zeros and hence find the transfer function and impulse response of the filter.

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