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Ch3.2 Discrete Fourier Transform

Ch3.2 Discrete Fourier Transform

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<strong>Discrete</strong> <strong>Fourier</strong> <strong>Transform</strong><br />

• Example: Consider the length-N sequence<br />

1, 0<br />

<br />

0, 1 1<br />

• Its N-point DFT is given by<br />

<br />

<br />

<br />

<br />

1,01<br />

0 <br />

<br />

• Example: Consider the length-N sequence<br />

1, , 0 1<br />

<br />

0, otherwise<br />

• Its N-point DFT is given by<br />

∑<br />

<br />

<br />

<br />

<br />

,0 1<br />

Elec3100 Chapter 3<br />

8

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