منابع مشابه
Successive Refinement of Gaussian Projections
Successive refinement is a technique to encode a source iteratively, improving the distortion at each step. If the code rates of all steps combined can be as efficient as coding only for the final distortion in one go, then the source is said to be successively refinable. We turn our attention to vector sources and we propose to replace the high-distortion first stage by a projection to low-dim...
متن کاملLinear projections and successive minima
In arithmetic geometry, cohomology groups are not vector spaces as in classical algebraic geometry but rather euclidean lattices. As a consequence, to understand these groups we need to evaluate not only their rank, but also their successive minima, which are fundamental invariants in the geometry of numbers. The goal of this article is to perform this task for line bundles on projective curves...
متن کاملErratum : Linear projections and successive minima
The proof of Proposition 1 and Theorem 2 in [3] is incorrect. Indeed, §2.5 and §2.7 in op.cit contain a vicious circle: the definition of the filtration Vi, 1 ≤ i ≤ n, in §2.5 depends on the choice of the integers ni, when the definition of the integers ni in §2.7 depends on the choice of the filtration (Vi). Thus, only Theorem 1 and Corollary 1 in [3] are proved. We shall prove below another r...
متن کاملDesigning IIR Digital All-Pass Filters by Successive Projections Method
The transfer function of IIR all-pass filters is a rational function of ω. However, the optimization of such a rational function using the successive projections method, which has a wider range of application than the Remez algorithm, has not been presented. In this paper, we propose designing IIR allpass filters using the successive projections method. key words: successive projections method,...
متن کاملEstimating soil total nitrogen contents from visible/near-infrared reflectance based on successive projections algorithm
The Visible/near-infrared reflectance (Vis/NIR) spectroscopy combined with multiple regression methods have been employed to assess various soil properties quantitatively. However, useless or irrelevant information in some bands worsen the performances of the calibrated models. Successive projections algorithm (SPA) is an effective technique for selecting informative variables, and its applicat...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1984
ISSN: 0022-247X
DOI: 10.1016/0022-247x(84)90163-x