6533b835fe1ef96bd129e9f6

RESEARCH PRODUCT

Multiwavelet Frames Originated From Hermite Splines

Pekka NeittaanmäkiAmir AverbuchValery A. Zheludev

subject

Hermite polynomialsComputer scienceScalar (mathematics)Polyphase systemFilter bankPerfect reconstructionAlgorithmImpulse response

description

The chapter presents a method for the construction of multiwavelet frame transform for manipulation of discrete-time signals. The frames are generated by three-channel perfect reconstruction oversampled multifilter banks. The design of the multifilter bank starts from a pair of interpolating multifilters, which originate from the cubic Hermite splines. The remaining multifilters are designed by factoring polyphase matrices. Input to the oversampled analysis multifilter bank is a vector-signal, which is derived from an initial scalar signal by one out of three pre-processing algorithms. The post-processing algorithms convert the vector output from the synthesis multifilter banks into a scalar signal. The discrete-time framelets, generated by the designed filter banks, are (anti)symmetric and have short support.

yearjournalcountryeditionlanguage
2015-08-28
https://doi.org/10.1007/978-3-319-22303-2_16