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W. Philips and G. De Jonghe, "Data compression of ECGs by high-degree polynomial approximation," IEEE Trans. Biomed. Eng., vol. 39, pp. 330--337, Apr. 1992.

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Warped Polynomials and their Applications in Signal and Image.. - Philips   Self-citation (Philips)   (Correct)

....are shown to outperform non adaptive techniques, both theoretically and experimentally. This document is only a summary of the author s research on warped polynomial approximation. Readers interested in the technical details are referred to the Ph.D. thesis [3] in Dutch) and the articles [2, 4, 6, 10, 15, 25]. They are also encouraged to consult the ELIS WWW server 2 for the most recent information. In the remainder of this section, we first describe some of the possible practical applications of the developed coding and filtering techniques. Next, we discuss adaptive coding in general in somewhat ....

W. Philips and G. De Jonghe, "Data compression of ECGs by high-degree polynomial approximation," IEEE Trans. Biomed. Eng., vol. 39, pp. 330--337, Apr. 1992.


Orthogonal Base Functions on a Discrete Two-Dimensional Region - Philips (1992)   (1 citation)  Self-citation (Philips)   (Correct)

....the functions P m;n (x; y) can be derived from the properties of certain univariate (warped) orthogonal polynomials. This is very fortunate because the properties of uni variate warped polynomials P n i f(x) j , orthogonal to a weight function w(x) have been determined in considerable detail [23, 24, 41]. Specifically, it is possible to estimate the local amplitudes and frequencies of the uni variate orthogonal functions [37, 41] By choosing an appropriate weight function w(x) and warping function f(x) the properties of the orthogonal functions can be changed significantly [24] This has been ....

.... of the uni variate orthogonal functions [37, 41] By choosing an appropriate weight function w(x) and warping function f(x) the properties of the orthogonal functions can be changed significantly [24] This has been exploited in ECG data compression methods based on Discrete Legendre Polynomials [22, 23] and warped orthogonal polynomials [24] This section will also show that P m;0 can be obtained without having to compute all of its predecessors in the orthogonal base B . This is important because in a lot of practical applications only a limited number of base functions is required. Note ....

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W. Philips and G. De Jonghe, "Data compression of ECGs by highdegree polynomial approximation," IEEE Trans. Biomedical Engineering, to be published April 1992.

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