Details of cellular neural network (CNN) universal machine and supercomputer have been presented (IEEE Trans. Circuits Syst.-I, vol.40, 1993). When cells in CNN are equipped with local logical memory or local analog m...
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ISBN:
(纸本)078031865X
Details of cellular neural network (CNN) universal machine and supercomputer have been presented (IEEE Trans. Circuits Syst.-I, vol.40, 1993). When cells in CNN are equipped with local logical memory or local analog memory, CNN can be used for solving matching problems. Matching with a supercomputer speed, CNN provides a rapid approach to search problems. CNN matching can also be used in real-time continuous signal matching, sound ciphering, voice identification, fault filtering and parameter recognition.< >
Ultrasonic reflection tomography borrows from echography its fundamental physical basis (exploitation of the diffracted echoes by the medium imaged) and from x tomography its numerical procedure of reconstruction. The...
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ISBN:
(纸本)0819416231
Ultrasonic reflection tomography borrows from echography its fundamental physical basis (exploitation of the diffracted echoes by the medium imaged) and from x tomography its numerical procedure of reconstruction. The method results from a linearization of the inverse problem, justified from an acoustical point of view, by the very small inhomogeneities of biological media. One can show that the inverse problem is reduced to a Fourier Synthesis problem based on lacunary data since the measured spectra are angulary equidistributed slices of the Fourier plane. The spectral extent of these cuts isconditioned by the frequency band of the echogrammes, that is, the high frequencies of the image correspond to the high temporal frequencies of the signals. The two problems raised are first the restauration of high frequencies (at the limit the extrapolation of the band analysed) which directly conditions resolution abilities of the instrument. Second, we have to face the problem of the angular interpolation in order to reduce reconstruction noise. Concerning the last point, we have developed a non linear filter operating on the data which contributes (in terms of energy) to the reconstruction of a given pixel. We have shown that these data are distributed on the "contributions circle" where, high frequency components mainly characterized artefacts induced by the reconstruction (backprojection) procedure. On the other hand, lower frequency components result from scattering phenomena. This distinction between useful information and artefact is revealed through a modelization of the interactions between biological interfaces and finite aperture ultrasonic beams. For the extrapolation of the band which allows good image restitution, we have integrated a deconvolution procedure based on a second order statistics filter. This enables us to reduce the input noise by a detection threshold. In addition, the in-line procedure implemented is well adapted to real-time applications. The
The paper presents a system to detect severe storm events from non-Doppler radar data using a hierarchical artificial neural network (HANN). The system incorporates three levels of data processing: (i) dimensionality ...
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The paper presents a system to detect severe storm events from non-Doppler radar data using a hierarchical artificial neural network (HANN). The system incorporates three levels of data processing: (i) dimensionality reduction (by data slicing, fragmentation, and preprocessing), (ii) feature extraction in the form of codebooks, and (iii) pattern recognition and classification. We study various schemes of such a processing structure. In one scheme, the first level processing slices the volumetric radar data into a set of images representing radar echo intensity at constant altitudes and fragments the images into image blocks. The second level processing extracts features from the image blocks using a self-organizing feature map (SOFM) neural network. It results in a set of codebooks, which is used by a back propagation (BP) neural network at the third level processing for classification. We have used a limited set of 22 known storm events for our experiments and system development. Preliminary results show 100% correct classification of the storm set. The scheme has been implemented in an x-windows environment, which has been installed in the Atmospheric Environment Services, Winnipeg, Canada, for field tests.< >
This paper provides an overview of subband and wavelet theories. It emphasizes their strong relations. The practical merits of these decomposition techniques in signalprocessing are examined. The current status of th...
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ISBN:
(纸本)0819412236
This paper provides an overview of subband and wavelet theories. It emphasizes their strong relations. The practical merits of these decomposition techniques in signalprocessing are examined. The current status of this active research field is summarized and it concludes with the discussion of potential extensions for future study.
Regularity is a new filter property, brought by wavelet theory, for perfect reconstruction octave-band filter banks. Tools for investigating its role in coding applications are provided in this note. First, discrete-t...
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Regularity is a new filter property, brought by wavelet theory, for perfect reconstruction octave-band filter banks. Tools for investigating its role in coding applications are provided in this note. First, discrete-time interpretations an optimal estimates of regularity are reviewed. Then, a simple design procedure for paraunitary FIR filter banks with optimal trade-off between frequency selectivity and regularity is given. Finally, the obtained filters are used to measure the effect of regularity versus frequency selectivity in a still image compression scheme with optimized rate-distortion. In this case, regularity is shown to be more relevant than frequency selectivity, especially for short filters.
The classical Shannon sampling theorem has resulted in many applications and generalizations. From a multiresolution point of view, it provides the sine scaling function. In this case, for a band-limited signal, its w...
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The classical Shannon sampling theorem has resulted in many applications and generalizations. From a multiresolution point of view, it provides the sine scaling function. In this case, for a band-limited signal, its wavelet series transform (WST) coefficients below a certain resolution level can be exactly obtained from the samples with a sampling rate higher than the Nyquist rate. In this research, we study the properties of cardinal orthogonal scaling functions (COSF), which provide the standard sampling theorem in multiresolution spaces with scaling functions as interpolants. We show that COSF with compact support have and only have one possibility which is the Haar pulse. We present a family of COSF with exponential decay, which are generalizations of the Haar function. With these COSF, an application is the computation of WST coefficients of a signal by the Mallat algorithm. We present some numerical comparisons for different scaling functions to illustrate the advantage of COSF. For signals which are not in multiresolution spaces, we estimate the aliasing error in the sampling theorem by using uniform samples.
Interest in the discrete wavelet transform has grown explosively in the last five years, even though the underlying concepts are decades old and nearly identical transform techniques were being applied in industry 10 ...
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ISBN:
(纸本)0819413291
Interest in the discrete wavelet transform has grown explosively in the last five years, even though the underlying concepts are decades old and nearly identical transform techniques were being applied in industry 10 years ago. The most important aspect of the new work is the development of the underlying theory. Most if not all of the current applications of wavelets are software based, implying either slow execution times or very expensive computers. This paper shows the feasibility of using moderately-priced commercially-available imageprocessing boards to carry out multi-band 2-dimensional (2D) wavelet transforms at real-time (30 images/sec) or faster-than-real-time rates. Implementations for both real and complexwavelets are shown. Word length and kernel size limitations are discussed, along with methods to overcome them. One-dimensional wavelets are mentioned as a special case of 2D wavelets. Because of the high speed and moderate cost of these implementations, much wider application of wavelets to industrial problems is now possible.
M-band generalizations of the FIR wavelets of Daubechies have recently been introduced by several authors. We present here a set of explicit construction techniques for these M-band wavelet filters, and the results of...
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ISBN:
(纸本)0780309464
M-band generalizations of the FIR wavelets of Daubechies have recently been introduced by several authors. We present here a set of explicit construction techniques for these M-band wavelet filters, and the results of their application to image compression. Beginning with a characterization of several equivalent notions of N-th order regularity for M-band perfect reconstruction filters, we then use this characterization to devise a closed-form expression for N-th order regular wavelet lowpass filters. We complete the construction of a full M-band filter bank given a lowpass filter and a rank M unitary matrix. Finally, we apply several of these new wavelets to image coding.
This paper presents implementation of the wavelet transform on parallel computers. The time of computation of wavelet transform on classic computers limits its applications in several areas of signalprocessing and da...
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ISBN:
(纸本)0819411973
This paper presents implementation of the wavelet transform on parallel computers. The time of computation of wavelet transform on classic computers limits its applications in several areas of signalprocessing and data compression. We examine some problems encountered when parallelizing such a code and we compare three different SIMD computers on this basis: a Connection-Machine 2/200, a SYMPATI-2 Line Processor, and a MasPar MP-1.
We use the theory of the continuous wavelet transform to derive inversion formulas for the Radon transform. These inversion formulas are local in even dimensions in the following sense. In order to recover a function ...
ISBN:
(纸本)081941283X
We use the theory of the continuous wavelet transform to derive inversion formulas for the Radon transform. These inversion formulas are local in even dimensions in the following sense. In order to recover a function f from its Radon transform in a ball of radius R gt;0 about a point x to within error ε gt;0, we can find α(ε) gt;0 such that this can be accomplished by knowing the projections of f only on lines passing through a ball of radius R + α(ε) about x. We give explicit a priori estimates on the error in the L2 and L infinity norms.
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