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Generalized sampling theorems in multiresolution subspaces

I. Djbkovic, P.P. Vaidyanathan
1997 IEEE Transactions on Signal Processing  
In fact, with nonuniform sampling, oversampling, and reconstruction from local averages, we can guarantee compactly supported synthesizing functions.  ...  All these problems are treated in a unified way using the perfect reconstruction (PR) filter bank theory. We give conditions for stable reconstructions in each of these cases.  ...  So far, we considered -channel maximally decimated filter banks only (Fig. 1 is a Fig. 7 . Filter-bank interpretation of oversampling. special case with ).  ... 
doi:10.1109/78.558473 fatcat:2indjd3me5el5ppyvqh2ldse5a

Digital receivers and transmitters using polyphase filter banks for wireless communications

F.J. Harris, C. Dick, M. Rice
2003 IEEE transactions on microwave theory and techniques  
An animated version of the ten-channel resampling receiver illustrates the time and frequency response of the filter bank when driven by a slowly varying linear FM sweep.  ...  The polyphase filter bank has become the architecture of choice to efficiently accomplish these tasks.  ...  to obtain arbitrary resampling in the filter bank.  ... 
doi:10.1109/tmtt.2003.809176 fatcat:3xepvepemjgkhcwgzynkejfhtu

Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial

P.P. Vaidyanathan
1990 Proceedings of the IEEE  
This includes design of decimation and interpolation filters, analysis/synthesis filter banks (also called quadrature mirror filters, or QMFJ, and the development of new sampling theorems.  ...  The paper concludes with a discussion of open problems in multirate DSP.  ...  Uniform DFT Filter Banks: An analysis bank with M filters that Hk(e/") = Ho(el(w-2*k'M) ), which means that the frequency responses of HJz) are uniformly shifted versions of Ho(elw SOME APPLICATIONS  ... 
doi:10.1109/5.52200 fatcat:257nblzgxfaodhm4yeblla3n5y

2010 Index IEEE Transactions on Signal Processing Vol. 58

2010 IEEE Transactions on Signal Processing  
., +, TSP July 2010 3955 Design of Linear-Phase Nonuniform Filter Banks With Partial Cosine Mod- ulation.  ...  ., +, TSP Feb. 2010 859-868 Low-pass filters Design of Linear-Phase Nonuniform Filter Banks With Partial Cosine Modulation.  ...  Global Positioning System A Fixed-Lag Particle Filter for the Joint Detection/Compensation of Interference Effects in GPS Navigation.  ... 
doi:10.1109/tsp.2010.2092533 fatcat:4y66ezuo7zf6doe6nwjqwtc42i

Digital Shearlet Transform [article]

Gitta Kutyniok and Wang-Q Lim and Xiaosheng Zhuang
2011 arXiv   pre-print
In this chapter, we provide an introduction to digital shearlet theory with a particular focus on a unified treatment of the continuum and digital realm.  ...  We will moreover discuss various quantitative measures, which allow an objective comparison with other directional transforms and an objective tuning of parameters.  ...  The implementation of contourlets is based on a directional filter bank, which produces a directional frequency partitioning similar to the one generated by curvelets.  ... 
arXiv:1108.0454v1 fatcat:iag2qbkafjfc3gbkclju5nnzbm

Digital Shearlet Transforms [chapter]

Gitta Kutyniok, Wang-Q Lim, Xiaosheng Zhuang
2012 Shearlets  
In this chapter, we provide an introduction to digital shearlet theory with a particular focus on a unified treatment of the continuum and digital realm.  ...  We will moreover discuss various quantitative measures, which allow an objective comparison with other directional transforms and an objective tuning of parameters.  ...  The implementation of contourlets is based on a directional filter bank, which produces a directional frequency partitioning similar to the one generated by curvelets.  ... 
doi:10.1007/978-0-8176-8316-0_7 fatcat:dubu5raxrrb53pjdzxnvyk5xxe

ShearLab: A Rational Design of a Digital Parabolic Scaling Algorithm [article]

Gitta Kutyniok and Morteza Shahram and Xiaosheng Zhuang
2011 arXiv   pre-print
Our objective in this paper is three-fold: We firstly develop a digital shearlet theory which is rationally designed in the sense that it is the digitization of the existing shearlet theory for continuous  ...  A common bracket of most of the various directional representation systems which have been proposed to deliver sparse approximations of such features is the utilization of parabolic scaling.  ...  The implementation of contourlets is based on a directional filter bank, which produces a directional frequency partitioning similar to the one generated by curvelets.  ... 
arXiv:1106.1319v1 fatcat:ew43va2nvvfv5pigivyye2oohy

ShearLab: A Rational Design of a Digital Parabolic Scaling Algorithm

Gitta Kutyniok, Morteza Shahram, Xiaosheng Zhuang
2012 SIAM Journal of Imaging Sciences  
Our objective in this paper is three-fold: We firstly develop a digital shearlet theory which is rationally designed in the sense that it is the digitization of the existing shearlet theory for continuous  ...  A common bracket of most of the various directional representation systems which have been proposed to deliver sparse approximations of such features is the utilization of parabolic scaling.  ...  The implementation of contourlets is based on a directional filter bank, which produces a directional frequency partitioning similar to the one generated by curvelets.  ... 
doi:10.1137/110854497 fatcat:yzdappmz25gifaf7a6bzra2h2y

A unified approach to sparse signal processing

Farokh Marvasti, Arash Amini, Farzan Haddadi, Mahdi Soltanolkotabi, Babak Hossein Khalaj, Akram Aldroubi, Saeid Sanei, Janathon Chambers
2012 EURASIP Journal on Advances in Signal Processing  
The methods of Prony, Pisarenko, and MUltiple SIgnal Classification (MUSIC) are next shown to be targeted at analyzing signals with sparse frequency domain representations.  ...  Specifically, the relations of the approach of Prony to an annihilating filter in rate of innovation and ELP in coding are emphasized; the Pisarenko and MUSIC methods are further improvements of the Prony  ...  Holm from University of Oslo who contributed a section in sparse array design, M. Nouri Moghadam, the director of the Newton Foundation, H. Saeedi from University of Massachusetts, and K.  ... 
doi:10.1186/1687-6180-2012-44 fatcat:sbby5qh65bh5jd57i567br7el4

A unified approach to sparse signal processing

Farokh Marvasti, Arash Amini, Farzan Haddadi, Mehdi Soltanolkotabi, Babak Khalaj, Akram Aldroubi, Saeid Sanei, Jonathon Chambers
2012 EURASIP Journal on Advances in Signal Processing  
The methods of Prony, Pisarenko, and MUltiple SIgnal Classification (MUSIC) are next shown to be targeted at analyzing signals with sparse frequency domain representations.  ...  Specifically, the relations of the approach of Prony to an annihilating filter in rate of innovation and ELP in coding are emphasized; the Pisarenko and MUSIC methods are further improvements of the Prony  ...  Holm from University of Oslo who contributed a section in sparse array design, M. Nouri Moghadam, the director of the Newton Foundation, H. Saeedi from University of Massachusetts, and K.  ... 
doi:10.1186/preaccept-1686979482577015 fatcat:7zjru2zjpne3rceluc5empoanq

Digital Shearlet Transforms [article]

G. Kutyniok, W.-Q Lim, X. Zhuang
2011 arXiv   pre-print
In this chapter, we provide an introduction to digital shearlet theory with a particular focus on a unified treatment of the continuum and digital realm.  ...  We will moreover discuss various quantitative measures, which allow an objective comparison with other directional transforms and an objective tuning of parameters.  ...  The implementation of contourlets is based on a directional filter bank, which produces a directional frequency partitioning similar to the one generated by curvelets.  ... 
arXiv:1106.2052v1 fatcat:2xdadw36xran7meqvqgpqorbue

Beyond bandlimited sampling

Y. Eldar, T. Michaeli
2009 IEEE Signal Processing Magazine  
ACKNOWLEDGMENTS This work was supported in part by the Israel Science Foundation under Grant 1081/07 and by the European Commission in the framework of the FP7 Network of Excellence in Wireless COMmunications  ...  L1v 2 5 a 0 1 a 1 jv 1 a 2 1 jv 2 2 1 c 1 a K 1 jv 2 K as a differential operator together with S1v 2 chosen as a rational causal filter [50] .  ...  filter (33) at all frequencies.  ... 
doi:10.1109/msp.2009.932125 fatcat:6qyhujiecnee3ea2snq4el3kdi

Image Transforms [chapter]

2011 Still Image and Video Compression with MATLAB  
Therefore, use of lowpass and highpass filters with arbitrary frequency responses will result in a synthesized signal that suffers from aliasing and image distortions even without any signal quantization  ...  Figure 8 . 8 12 Frequency response of the5 3 Le Gall's filter bank for reversible JPEG2000 compression: (a) magnitude of the frequency response of the analysis lowpass, highpass, and synthesis lowpass  ...  Daubechies 9 /7 filter bank has 9 taps for its analysis % Lowpass and synthesis highpass FIR filters; % 7 taps for its analysis highpass and synthesis lowpass % FIR filters.  ... 
doi:10.1002/9780470886922.ch3 fatcat:gjjunlemu5alhbobqd27tec5zi

Overview [chapter]

2013 Musical Signal Processing  
"Theory and design of M-Channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect reconstruction property."  ...  "Iterated filter banks with rational rate changes. Connections with discrete wavelet transforms." IEEE Transactions on Signal Processing 41: 3232-3244. Bovik, A.C., P. Maragos, and T.F.  ...  The main sound processes used by Nono were: feedback delay; pitch transposition; filtering with banks of very narrow filters (second and fifth); a 48-filter vocoder; automatic variation of amplitude depend  ... 
doi:10.4324/9781315078120-11 fatcat:rylq5og6njbqbhe6idh2n7nksy

Introduction to Digital Speech Processing

Lawrence R. Rabiner, Ronald W. Schafer
2007 Foundations and Trends® in Signal Processing  
Since even before the time of Alexander Graham Bell's revolutionary invention, engineers and scientists have studied the phenomenon of speech communication with an eye on creating more efficient and effective  ...  Concomitant advances in integrated circuit technology and computer architecture have aligned to create a technological environment with virtually limitless opportunities for innovation in speech communication  ...  Of course, we are responsible for any weaknesses or inaccuracies that remain in this text.  ... 
doi:10.1561/2000000001 fatcat:j3eqhs7rvbb6noom4lqwury2xq
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