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Frames and Overcomplete Representations in Signal Processing, Communications, and Information Theory

  1. Research Article

    Quantization Noise Shaping on Arbitrary Frame Expansions

    Quantization noise shaping is commonly used in oversampled A/D and D/A converters with uniform sampling. This paper considers quantization noise shaping for arbitrary finite frame expansions based on generaliz...

    Petros T. Boufounos and Alan V. Oppenheim

    EURASIP Journal on Advances in Signal Processing 2006 2006:053807

    Published on: 23 March 2006

  2. Research Article

    Paraunitary Oversampled Filter Bank Design for Channel Coding

    Oversampled filter banks (OSFBs) have been considered for channel coding, since their redundancy can be utilised to permit the detection and correction of channel errors. In this paper, we propose an OSFB-base...

    Stephan Weiss, Soydan Redif, Tom Cooper, Chunguang Liu, Paul D Baxter and John G McWhirter

    EURASIP Journal on Advances in Signal Processing 2006 2006:031346

    Published on: 16 March 2006

  3. Research Article

    Texture Classification Using Sparse Frame-Based Representations

    A new method for supervised texture classification, denoted by frame texture classification method (FTCM), is proposed. The method is based on a deterministic texture model in which a small image block, taken ...

    Karl Skretting and JohnHåkon Husøy

    EURASIP Journal on Advances in Signal Processing 2006 2006:052561

    Published on: 12 March 2006

  4. Research Article

    Facial Image Compression Based on Structured Codebooks in Overcomplete Domain

    We advocate facial image compression technique in the scope of distributed source coding framework. The novelty of the proposed approach is twofold: image compression is considered from the position of source ...

    J. E. Vila-Forcén, S. Voloshynovskiy, O. Koval and T. Pun

    EURASIP Journal on Advances in Signal Processing 2006 2006:069042

    Published on: 12 March 2006

  5. Research Article

    Wavelet Video Denoising with Regularized Multiresolution Motion Estimation

    This paper develops a new approach to video denoising, in which motion estimation/compensation, temporal filtering, and spatial smoothing are all undertaken in the wavelet domain. The key to making this possible ...

    Fu Jin, Paul Fieguth and Lowell Winger

    EURASIP Journal on Advances in Signal Processing 2006 2006:072705

    Published on: 22 February 2006

  6. Research Article

    Geometric Properties of Grassmannian Frames for http://static-content.springer.com/image/art%3A10.1155%2FASP%2F2006%2F49850/MediaObjects/13634_2004_Article_1708_IEq1_HTML.gif and http://static-content.springer.com/image/art%3A10.1155%2FASP%2F2006%2F49850/MediaObjects/13634_2004_Article_1708_IEq2_HTML.gif

    Grassmannian frames are frames satisfying a min-max correlation criterion. We translate a geometrically intuitive approach for two- and three-dimensional Euclidean space ( http://static-content.springer.com/image/art%3A10.1155%2FASP%2F2006%2F49850/MediaObjects/13634_2004_Article_1708_IEq3_HTML.gif ...

    John J Benedetto and Joseph D Kolesar

    EURASIP Journal on Advances in Signal Processing 2006 2006:049850

    Published on: 12 February 2006

  7. Research Article

    Wireless Multicarrier Communications via Multipulse Gabor Riesz Bases

    We introduce multipulse multicarrier (MPMC) modulation, a wireless communication scheme that augments traditional single-pulse multicarrier systems by using multiple pulses at the transmitter and the receiver. Th...

    Manfred M Hartmann, Gerald Matz and Dieter Schafhuber

    EURASIP Journal on Advances in Signal Processing 2006 2006:023818

    Published on: 12 February 2006

  8. Research Article

    Joint Source-Channel Coding by Means of an Oversampled Filter Bank Code

    Quantized frame expansions based on block transforms and oversampled filter banks (OFBs) have been considered recently as joint source-channel codes (JSCCs) for erasure and error-resilient signal transmission ...

    Slavica Marinkovic and Christine Guillemot

    EURASIP Journal on Advances in Signal Processing 2006 2006:082023

    Published on: 6 February 2006

  9. Research Article

    Simplified Design of Low-Delay Oversampled NPR GDFT Filterbanks

    We propose an efficient algorithm for designing the prototype filters of oversampled, near-perfect reconstruction (NPR), GDFT modulated filterbanks (FB) with arbitrary delay. We describe simplified conditions ...

    Bogdan Dumitrescu, Robert Bregović and Tapio Saramäki

    EURASIP Journal on Advances in Signal Processing 2006 2006:042961

    Published on: 2 February 2006

  10. Research Article

    Fourier Transforms of Finite Chirps

    Chirps arise in many signal processing applications. While chirps have been extensively studied as functions over both the real line and the integers, less attention has been paid to the study of chirps over f...

    Peter G. Casazza and Matthew Fickus

    EURASIP Journal on Advances in Signal Processing 2006 2006:070204

    Published on: 26 January 2006

  11. Research Article

    The Finite Heisenberg-Weyl Groups in Radar and Communications

    We investigate the theory of the finite Heisenberg-Weyl group in relation to the development of adaptive radar and to the construction of spreading sequences and error-correcting codes in communications. We co...

    S. D. Howard, A. R. Calderbank and W. Moran

    EURASIP Journal on Advances in Signal Processing 2006 2006:085685

    Published on: 26 January 2006

  12. Research Article

    Frame-Based Multiple-Description Video Coding with Extended Orthogonal Filter Banks

    We propose a frame-based multiple-description video coder. The analysis filter bank is the extension of an orthogonal filter bank which computes the spatial polyphase components of the original video frames. T...

    R. Bernardini, M. Durigon, R. Rinaldo, A. Vitali and P. Zontone

    EURASIP Journal on Advances in Signal Processing 2006 2006:053623

    Published on: 17 January 2006

  13. Research Article

    The Hermite Transform: A Survey

    With this survey on the Hermite transformation we want to pursue the following two goals. First, we want to provide a comprehensive and up-to-date description of the Hermite transformation, its underlying phil...

    Jean-Bernard Martens

    EURASIP Journal on Advances in Signal Processing 2006 2006:026145

    Published on: 3 January 2006