第08章 DFT(上)

第08章 DFT(上)

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8.1 representation of periodic sequences:the discrete Fourier series 8.2 the Fourier transform of periodic signals 8.3 properties of the discrete Fourier series 8.4 Fourier representation of finite-duration sequences: Definition of the discrete Fourier transform 8.5 sampling the Fourier transform (point of sampling) 8.6 properties of the Fourier transform 8.7 linear convolution using the discrete Fourier transform 8.8 the discrete cosine transform(DCT) 8.8 the discrete cosine transform(DCT) 8.8 the discrete cosine transform(DCT) Chapter 8 the discrete Fourier transform
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8.1 representation of periodic sequences: the discrete Fourier series (离散傅立叶级数) 1 0 1 0 2/ 1 [ ] , ,.. (1) , (2) N kn N k N N n j kn N N xn X kW n N Xk x n W k We π = = == = ± ± ± ± periodic sequence for any integer values of n and r : Fourier series [] ± ± [ ] x nx n r N = + ±± ] [ ~ ] [ ~ ] [ ~ 1 0 ) ( k X W n x rN k X N n n rN k N = + = = + Note that the sequence is periodic with period N: ~ X k 证明二者互逆见课堂笔记
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4 4/ 1 0 10 0 sin( / 2) [] /10) kn j k n k Xk W e k π = == ± Figure 8.1 EXAMPLE .
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第08章 DFT(上)

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