A general representation for classical detection theory with Euclidean geometry Klasik tespit kurami için Öklid geometrisi ile genel bir gösterim

Bayramog̃lu, Muhammet Fatih
Yılmaz, Ali Özgür
A general geometric representation for the classical detection theory which is compatible with Euclidean geometry is proposed. The proposed representation is so generic that can be employed to almost all communication problems. The a posteriori probability of a symbol given an observation occurred decreases exponentially with the square of the Eclidean distance between vectors in R N that the symbol and the observation are mapped onto.


BASKAL, S; ERIS, A; SATIR, A (1994-12-19)
The symmetries and associated conservation laws of the SO(2,1) invariant non-linear sigma model equations in 1+1 dimensions are investigated. An infinite family of generalized local symmetries is presented and the uniqueness of these solutions is discussed.
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Özbudak, Ferruh; Cenk, Murat (2013-10-01)
In this paper, Hermite polynomial representation is proposed as an alternative way to represent finite fields of characteristic two. We show that multiplication in Hermite polynomial representation can be achieved with subquadratic space complexity. This representation enables us to find binomial or trinomial irreducible polynomials which allows us faster modular reduction over binary fields when there is no desirable such low weight irreducible polynomial in other representations. We then show that the pro...
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Beurling's theorem characterizes subspaces of the Hardy space invariant under the forward-shift operator in terms of inner functions. In this Note we consider the case where the ball replaces the open unit desk and the reproducing kernel Hilbert space with reproducing kernel 1/(1-Sigma (N)(1) a(j)w(j)*) replaces the Hardy space. We give explicit formulas which generalize Blaschke products in the case of spaces of finite codimension. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier...
Citation Formats
M. F. Bayramog̃lu and A. Ö. Yılmaz, “A general representation for classical detection theory with Euclidean geometry Klasik tespit kurami için Öklid geometrisi ile genel bir gösterim,” 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56195.