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- W2000361571 abstract "Abstract This paper describes a general class of orthogonal transforms, which includes the well-known DCT. Each transforms is completely determined by two functions: a warping and a weight function. Therefore, the transforms can be described very efficiently and this makes them very useful in adaptive transform coding. The base vectors of the new transforms are samples of time-warped polynomials. The latter approximately equal amplitude- and frequency-modulated sine waves. The paper describes how the structure of the base vectors and the coding properties of the transforms depend on the warping and weight functions. In particular, the minimum number of coefficients for almost error-free coding is determined and the effects of quantization are investigated. ECG, image line and speech coding examples illustrate the theoretical results. Finally, the time-warped polynomial coding method is shown to have some advantages over another approach that uses a fixed base to represent a time-warped version of the signal." @default.
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- W2000361571 date "1994-05-01" @default.
- W2000361571 modified "2023-09-25" @default.
- W2000361571 title "Coding properties of time-warped polynomial transforms" @default.
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- W2000361571 doi "https://doi.org/10.1016/0165-1684(94)90105-8" @default.
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