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Proceedings of the IEEE

Issue 4 • Date Apr 1996

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Displaying Results 1 - 12 of 12
  • Wavelets and time-frequency analysis

    Publication Year: 1996 , Page(s): 523 - 540
    Cited by:  Papers (65)  |  Patents (2)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1504 KB)  

    We present a selective overview of time-frequency analysis and some of its key problems. In particular we motivate the introduction of wavelet and wavelet packet analysis. Different types of decompositions of an idealized time-frequency plane provide the basis for understanding the performance of the numerical algorithms and their corresponding interpretations within the continuous models. As exam... View full abstract»

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  • Wavelets: What next?

    Publication Year: 1996 , Page(s): 680 - 685
    Cited by:  Papers (14)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (648 KB)  

    The author looks ahead to see what the future can bring to wavelet research. He tries to find a common denominator for “wavelets” and identifies promising research directions and challenging problems View full abstract»

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  • Characterization of acoustic signals through continuous linear time-frequency representations

    Publication Year: 1996 , Page(s): 561 - 585
    Cited by:  Papers (31)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (2524 KB)  

    One important field in the framework of computer music concerns the modeling of sounds. In order to design digital models mirroring as closely as possible a real sound and permitting in addition intimate transformations by altering the synthesis parameters, we look for a signal model based on additive synthesis whose parameters are estimated by the analysis of real sounds. This model is relevant f... View full abstract»

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  • Wavelets and the study of the distant Universe

    Publication Year: 1996 , Page(s): 670 - 679
    Cited by:  Papers (4)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1332 KB)  

    The large-scale distribution of galaxies in the Universe exhibits structures at various scales, these so-called groups, clusters, and superclusters of galaxies being more or less hierarchically organized. A specific vision model is needed in order to detect, describe, and classify each component of this hierarchy. To do so, we have developed a multiscale vision model based on an unfolding into a s... View full abstract»

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  • Where do wavelets come from? A personal point of view

    Publication Year: 1996 , Page(s): 510 - 513
    Cited by:  Papers (23)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (452 KB)  

    The development of wavelets is an example where ideas from many different fields combined to merge into a whole that is more than the sum of its parts. The subject area of wavelets, developed mostly over the last 15 years, is connected to older ideas in many other fields, including pure and applied mathematics, physics, computer science, and engineering. The history of wavelets can therefore be re... View full abstract»

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  • A review of wavelets in biomedical applications

    Publication Year: 1996 , Page(s): 626 - 638
    Cited by:  Papers (219)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1520 KB)  

    We present an overview of the various uses of the wavelet transform (WT) in medicine and biology. We start by describing the wavelet properties that are the most important for biomedical applications. In particular we provide an interpretation of the the continuous wavelet transform (CWT) as a prewhitening multiscale matched filter. We also briefly indicate the analogy between the WT and some of t... View full abstract»

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  • Wavelets: the mathematical background

    Publication Year: 1996 , Page(s): 514 - 522
    Cited by:  Papers (105)  |  Patents (5)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (752 KB)  

    The authors give an overview of the continuous and oversampled wavelet transform. They discuss how, by sampling the continuous wavelet transform, orthonormal wavelet bases can be obtained. Multiresolution analysis, as a framework for studying wavelet bases, is also presented. Finally, the authors deal with discrete-time wavelet representations, filter banks, and fast algorithms View full abstract»

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  • Emerging applications of multirate signal processing and wavelets in digital communications

    Publication Year: 1996 , Page(s): 586 - 603
    Cited by:  Papers (89)  |  Patents (2)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1868 KB)  

    Multirate systems and filter banks have traditionally played an important role in source coding and compression for contemporary communication applications, and many of the key design issues in such applications have been extensively explored. We review developments on the comparatively less explored role of multirate filter banks and wavelets in channel coding and modulation for some important cl... View full abstract»

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  • Wavelets for a vision

    Publication Year: 1996 , Page(s): 604 - 614
    Cited by:  Papers (107)  |  Patents (3)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (2540 KB)  

    Early on, computer vision researchers have realized that multiscale transforms are important to analyze the information content of images. The wavelet theory gives a stable mathematical foundation to understand the properties of such multiscale algorithms. This tutorial describes major applications to multiresolution search, multiscale edge detection, and texture discrimination View full abstract»

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  • Wavelets in computer graphics

    Publication Year: 1996 , Page(s): 615 - 625
    Cited by:  Papers (8)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1956 KB)  

    One of the perennial goals in computer graphics (CC) is realism in real time. Handling geometrically complex scenes and physically faithful descriptions of their appearance and behavior clashes with the requirement of multiple frame per second update rates. It is no surprise then that hierarchical modeling and simulation have already enjoyed a long history in CG. Most recently these ideas have rec... View full abstract»

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  • Wavelets and turbulence

    Publication Year: 1996 , Page(s): 639 - 669
    Cited by:  Papers (73)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (4392 KB)  

    We have used wavelet transform techniques to analyze, model, and compute turbulent flows. The theory and open questions encountered in turbulence are presented. The wavelet-based techniques that we have applied to turbulence problems are explained and the main results obtained are summarized View full abstract»

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  • Wavelets, subband coding, and best bases

    Publication Year: 1996 , Page(s): 541 - 560
    Cited by:  Papers (63)  |  Patents (13)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (2600 KB)  

    The emergence of wavelets has led to a convergence of linear expansion methods used in signal processing and applied mathematics. In particular, subband coding methods and their associated filters are closely related to wavelet constructions. We first review such constructions with a signal processing perspective. We then discuss the idea behind signal adapted bases and associated algorithms befor... View full abstract»

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North Carolina State University