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Created page with '===* HW #13 - Derive the following realtions: **a) <math>DFT(x(k-l))\!</math> **b) <math> DFT(e^{j2 \pi lk/N}x(k)\!</math> **c) <math>\sum\limits_{k=0}^{N-1} x(k)y…'
 
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===* HW #13 - Derive the following realtions:
HW #13 - Derive the following realtions:
**a)      <math>DFT(x(k-l))\!</math>
**a)      <math>DFT(x(k-l))\!</math>
**b)      <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**b)      <math> DFT(e^{j2 \pi lk/N}x(k)\!</math>
**c)      <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math>===
**c)      <math>\sum\limits_{k=0}^{N-1} x(k)y(k)^{*}=c\sum\limits_{k=0}^{N-1} X(n)Y(n)^{*}</math>
 
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Latest revision as of 13:53, 16 December 2010

HW #13 - Derive the following realtions:

    • a) DFT(x(kl))
    • b) DFT(ej2πlk/Nx(k)
    • c) k=0N1x(k)y(k)*=ck=0N1X(n)Y(n)*