tailieunhanh - CS 450: Other transform

CS 450: Other transform provides the fourier transform; discrete consine transform (DCT); different transform; hotelling (karhunen - leuve) transform; co-joint repretations; energy compaction. | CS 450 Other Transforms 1 Other Transforms I A transform is a change in the numeric representation of a signal that preserves all of the signal s niionraition. Transforms can be thought of as a change of coordinates into some coordinate system basis set . They all have the same basic form 1. choose your basis functions 2. get the weights using inner product of signal and basis functions 3. reconstruct by adding weighted basis functions CS 450 Other Transforms 2 The Fourier Transform Basis functions complex harmonics e i 2-si or e 2 sn N Transform calculating the weights of each basis function Z1 f t e i2vst dt -1 Inverse Transform putting together the weights Z1 F s ei2 st ds -oo CS 450 Other Transforms

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