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—Algorithms for designing a mother wavelet () such that it matches a signal of interest and such that the family of wavelets 2 (2) (2) forms an orthonormal Riesz basis of 2 () are developed. The algorithms are based on a closed form solution for finding the scaling function spectrum from the wavelet spectrum. Many applications of signal representation,(More)
– Very large format video or wide-area motion imagery (WAMI) acquired by an airborne camera sensor array is characterized by persistent observation over a large field-of-view with high spatial resolution but low frame rates (i.e. one to ten frames per second). Current WAMI sensors have sufficient coverage and resolution to track vehicles for many hours(More)
This paper proposes a method of appl ing the idea of multiresolution to the probyem of fault-tolerant integration of abstract sensor estimates when the number of sensors is very lar e and a large number of sensor faults are tame. &e give an optimal O(N1ogN) algorithm, where N is the total number yf sensors, which implements this idea efficiently.
When we have observations of a discrete deterministic signal (physical object) in colored Gaussian noise, it is possible to obtain asymptotically unbiased estimates of the bispectrum of the signal only at frequency pairs (al, w2) which do not satisfy any of the following: wI = 0, w 2 = 0, and o1 + w2 = 0. Several approaches reported in the literature that(More)
In this paper we present a novel model for purely discrete-time self-similar processes and scale-invariant systems. The results developed are based on a new interpretation of the discrete-time scaling (equivalently dilation or contraction) operation which is defined through a mapping between discrete and continuous time. It is shown that it is possible to(More)