Wavelet sampling theorems for irregularly sampled signals
نویسندگان
چکیده
منابع مشابه
Wavelet Sampling Theorems for Irregularly Sampled Signals
In digital signal and image processing, digital communications, and so forth, a continuous signal is usually represented and processed by using its discrete samples. How, then, are we to reconstruct the original signal from its discrete samples? The classical Shannon sampling theorem gives the following formula for band-limited finite energy signals. For a finite energy s-band continuous signal...
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The purpose of this paper is to develop methods that can reconstruct a bandlimited discrete-time signal from an irregular set of samples at unknown locations. We define a solution to the problem using first a geometric and then an algebraic point of view. We find the locations of the irregular set of samples by treating the problem as a combinatorial optimization problem. We employ an exhaustiv...
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Convolutional Radial Basis Function (RBF) networks are introduced for smoothing out irregularly sampled signals. Our proposed technique involves training a RBF network and then convolving it with a Gaussian smoothing kernel in an analytical manner. Since the convolution results in an analytic form, the computation necessary for numerical convolution is avoided. Convolutional RBF networks need t...
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where f ( w ) is the Fourier transform of f ( t ) defined by f ( w ) = J, f ( t )e-*”*dt . Unfortunately it is not appropriate for nonband-limited signals. However if we let y = 2 m ~ , m € 2, this problem can be viewed as a special case of sampling in wavelet subspaces with p(t) = sin?rt/nt playing the role of scaling function of MRA {Vm = W ( ~ ( 2 ~ t n},},. Realizing these properties, Walte...
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It is well-known that continuous time bandlimited signals can be sampled without creating aliasing if the sampling period is small enough. It is also known that if s(t) is a bandpass signal, the passbands of X ( n ) must be located properly for aliasfree maximal sampling. Similar situations arise in discrete time case. This paper addresses these issues for two-dimensional (2D) oneand two-parall...
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ژورنال
عنوان ژورنال: Electronics and Communications in Japan (Part III: Fundamental Electronic Science)
سال: 1999
ISSN: 1042-0967,1520-6440
DOI: 10.1002/(sici)1520-6440(199905)82:5<65::aid-ecjc8>3.0.co;2-l