Summary
The conventional dyadic multiresolution analysis constructs a succession of frequency intervals in the form of (π/2j, π/2j-1);j = 1, 2, …, j of which the bandwidths are halved repeatedly in the descent from high frequencies to low frequencies. Whereas this scheme provides an excellent framework for encoding and transmitting signals with a high degree of data compression, it is less appropriate to statistical data analysis. A non-dyadic mixed-radix wavelet analysis which allows the wave bands to be defined more flexibly than in the case of a conventional dyadic analysis is described. The wavelets that form the basis vectors for the wave bands are derived from the Fourier transforms of a variety of functions that specify the frequency responses of the filters corresponding to the sequences of wavelet coefficients
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Pollock, S., Cascio, I.L. (2007). Non-Dyadic Wavelet Analysis. In: Kontoghiorghes, E.J., Gatu, C. (eds) Optimisation, Econometric and Financial Analysis. Advances in Computational Management Science, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36626-1_9
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DOI: https://doi.org/10.1007/3-540-36626-1_9
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