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Ch3.2 Discrete Fourier Transform

Ch3.2 Discrete Fourier Transform

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Circular Convolution: DFT Method<br />

• Example – Determine the 4-point circular convolution of two length-<br />

4 sequences: 1 2 0 1 and 2 2 1 1 as sketched<br />

below<br />

• The 4-point DFT and are given by<br />

4, 1 , 2, 1 and 6, 1 , 0, 1 .<br />

• Thus, the 4-point DFT of is given by<br />

24, 2, 0, 2.<br />

• A 4-point IDFT of yields<br />

6 7 6 5 .<br />

Elec3100 Chapter 3<br />

24

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