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Wavelets and subband coding

Wavelets and subband coding,M. Vetterli,J. Kovacevic

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Wavelets and subband coding   (Citations: 1379)
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Published in 1995.
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    • ...Then, wavelet transform (WT) [17], [18] was proposed to improve resolution in the time–frequency plane, providing good signal compression...

    Miguel Angel Platas-Garza, et al. Dynamic Harmonic Analysis Through Taylor-Fourier Transform

    • ...Filter banks are now a well-known tool for time-frequency analysis ofasignal[1],[2].Theanalysissideofatwochannelfilterbank(Fig.1) decomposes input signal into subband signals . The synthesis side is used to reconstruct the signal from the subband signals...
    • ...It is well known that a subclass of filter banks, called paraunitary filter banks does orthogonal subband decomposition and the reconstructed signal is a delayed version of [1], [2]...
    • ...The input‐output relation of this filter-bank can be written either in terms of polyphase matrices, or in terms of modulation (or alias component) matrices [1], [2]...
    • ...A square polynomial matrix is said to be paraunitary (PU) if for some . If the polyphase matrix of analysis filters is PU, then its alias component matrix will also be PU [1], [2]...
    • ...then is PU. Thus, a two channel PU filter bank can be obtained by designing a power symmetric filter [1], [2]...

    Sudarshan Shinde. Two Channel Paraunitary Filter Banks Based on Linear Canonical Transfo...

    • ...The JPEG2000 (J2K) digital image compression standard [21] has achieved worldwide acceptance by the medical imaging community as the state-of-the-art methodology for compressing and reconstructing medical images [11]...
    • ...Thresholding [16] is the process of retaining only the largest transformed values and setting the less significant values to zero; the compressed signal will thus contain significant (non-zero) quantized values, along with a significance map indicating their indices. Quantization [23] is the process...

    Chris Miller, et al. Evolving improved transforms for reconstruction of quantized ultrasoun...

    • ...In this paper, basing on the lattice structure for casual FIR losses systems [15]–[17], we will first present the explicit parametrization of multifilter banks generating balanced multiwavelets or armlets, and using this parametrization, construct some balanced multiwavelets...
    • ...The lattice structure of causal FIR lossless systems was first given in [15]–[17], and [9], [10], [14] also gave some results about it. Here, we just present some known results which will be used in this paper...

    Baobin Li, et al. Balanced Multifilter Banks for Multiple Description Coding

    • ...The polyphase decomposition [1], [2] of the analysis filters is given by...
    • ...Based on the theory of filter banks [1], [2], the polyphasedomain condition for PR with an output delay of for all inputs is as follows:...
    • ...Using fundamental relations for polyphase-domain analysis of FBs [1], [2] and the notation in Section II-C, it can be shown that this RMS error is...

    Behzad Sharif, et al. Generic Feasibility of Perfect Reconstruction with Short FIR Filters i...

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