REX — the ortogonal exponential transform

Authors

DOI:

https://doi.org/10.3103/S0735272704020013

Abstract

A new orthogonal REX transform is suggested, whose real-valued kernel is based on piecewise exponential functions differentiable on continuous segments. The related transform introduced together with the initial one is called CoREX. Both transforms may undergo modifications to adapt them to signals taken for analysis.

References

AHMED, N.; NATARAJAN, T.; RAO, K.R. "Discrete cosine transform," IEEE Trans. Comput., v.C-23, n.1, p.90-93, 1974. DOI: https://doi.org/10.1109/T-C.1974.223784.

TRAKHTMAN, A.M. Foundations of the Generalized Spectral Theory of Signals [in Russian]. Moscow: Sov. Radio, 1972.

AHMED, N.; RAO, K.R. Orthogonal Transforms for Digital Signal Processing. Springer-Verlag, 1975.

DAUBECHIES, I."The wavelet transform, time-frequency localization and signal analysis," IEEE Trans. Inf. Theory, v.36, n.5, p.961-1005, 1990. DOI: https://doi.org/10.1109/18.57199.

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Published

2004-02-11

Issue

Vol. 47 No. 2 (2004)

Section

Research Articles