Wavelet Frames Generated by Spline Based p-Filter Banks

The system of totally interpolating wavelet frames is discussed in this paper, in which both the scaling function and one of wavelet functions are interpolating. It will be shown that corresponding filter banks possess the special structure, and the parametrization of filter banks is present. Moreover, we show that when considering tight frame systems with two generators, the Ron–Shen's continuous-linear-spline-based tight frame is the only one with totally interpolating property and symmetry. But in the dual frame context, more good examples of bi-frames with symmetric/antisymmetric property can be obtained and constructed, which in particular, include frames with the uniform symmetry.

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Wavelet Frames Generated by Perfect Reconstruction Filter Banks

Spline and Spline Wavelet Methods with Applications to Signal and Image Processing ◽

10.1007/978-3-319-22303-2_14 ◽

2015 ◽

pp. 299-361

Author(s):

Amir Z. Averbuch ◽

Pekka Neittaanmäki ◽

Valery A. Zheludev

Keyword(s):

Filter Banks ◽

Perfect Reconstruction ◽

Wavelet Frames ◽

Perfect Reconstruction Filter Banks ◽

Reconstruction Filter

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Method of virtual components for constructing redundant filter banks and wavelet frames

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2006.08.002 ◽

2007 ◽

Vol 22 (3) ◽

pp. 304-318 ◽

Cited By ~ 19

Author(s):

Ming-Jun Lai ◽

Alexander Petukhov

Keyword(s):

Filter Banks ◽

Wavelet Frames

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Wavelet Frames Generated by Spline-Based p-Filter Banks

Spline and Spline Wavelet Methods with Applications to Signal and Image Processing ◽

10.1007/978-3-319-92123-5_9 ◽

2018 ◽

pp. 149-175

Author(s):

Amir Z. Averbuch ◽

Pekka Neittaanmäki ◽

Valery A. Zheludev

Keyword(s):

Filter Banks ◽

Wavelet Frames

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Iterated oversampled filter banks and wavelet frames

10.1117/12.408663 ◽

2000 ◽

Cited By ~ 15

Author(s):

Ivan W. Selesnick ◽

Levent Sendur

Keyword(s):

Filter Banks ◽

Wavelet Frames

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Narrowband Interference Supression in Speech Signals Using Multirate Filter Banks

International Conference Image Processing, Computers and Industrial Engineering (ICICIE'2014) Jan. 15-16, 2014 Kuala Lumpur (Malaysia) ◽

10.15242/iie.e0114557 ◽

2014 ◽

Keyword(s):

Filter Banks ◽

Speech Signals ◽

Narrowband Interference ◽

Multirate Filter Banks

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Optimization of Perfect Reconstruction Cosine-Modulated Filter Banks: Fast Algorithm

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v56.i12.50 ◽

2001 ◽

Vol 56 (12) ◽

pp. 8 ◽

Cited By ~ 2

Author(s):

Oscar G. Ibarra-Manzano ◽

Yuriy V. Shkvarko ◽

Rene Jaime-Rivas ◽

Jose A. Andrade-Lucio ◽

Gordana Jovanovic-Dolecek

Keyword(s):

Fast Algorithm ◽

Filter Banks ◽

Perfect Reconstruction

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Near-Perfect Reconstruction Oversampled Nonuniform Cosine-Modulated Filter Banks Based on Frequency Warping and Subband Merging

International Journal of Electronics and Telecommunications ◽

10.2478/v10177-012-0026-2 ◽

2012 ◽

Vol 58 (2) ◽

pp. 177-192 ◽

Cited By ~ 6

Author(s):

Marek Parfieniuk ◽

Alexander Petrovsky

Keyword(s):

Group Delay ◽

Filter Banks ◽

Main Idea ◽

Perceptual Processing ◽

Perfect Reconstruction ◽

Frequency Warping ◽

Small Loss ◽

Novel Method ◽

The One ◽

Near Perfect Reconstruction

Near-Perfect Reconstruction Oversampled Nonuniform Cosine-Modulated Filter Banks Based on Frequency Warping and Subband MergingA novel method for designing near-perfect reconstruction oversampled nonuniform cosine-modulated filter banks is proposed, which combines frequency warping and subband merging, and thus offers more flexibility than known techniques. On the one hand, desirable frequency partitionings can be better approximated. On the other hand, at the price of only a small loss in partitioning accuracy, both warping strength and number of channels before merging can be adjusted so as to minimize the computational complexity of a system. In particular, the coefficient of the function behind warping can be constrained to be a negative integer power of two, so that multiplications related to allpass filtering can be replaced with more efficient binary shifts. The main idea is accompanied by some contributions to the theory of warped filter banks. Namely, group delay equalization is thoroughly investigated, and it is shown how to avoid significant aliasing by channel oversampling. Our research revolves around filter banks for perceptual processing of sound, which are required to approximate the psychoacoustic scales well and need not guarantee perfect reconstruction.

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