A generalized construction for perfect autocorrelation sequences

Date

2015-06-19

Author

boztaş, serdar
kahraman, seda
Özbudak, Ferruh
TEKİN, EDA

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

192
views

0
downloads

In this paper we generalize a previous construction in order to design perfect autocorrelation sequences over the so-called PSK+ constellation defined by Boztas, and Udaya [2]. We give a number theoretic criterion for the existence of the new sequences with perfect autocorrelation, and discuss some preliminary numerical results on their aperiodic correlations and merit factors.

Subject Keywords

Sequence design, CDMA, Perfect correlation, Radar, Merit factor

URI

https://hdl.handle.net/11511/39117

DOI

https://doi.org/10.1109/isit.2015.7282714

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

New Correlations of m-sequences over the finite field F4 compatible with a new bijection to Z4 Boztas, Serdar; Özbudak, Ferruh; Tekin, Eda (2022-01-01) In this paper we obtain a new method to compute the correlation values of two arbitrary sequences defined by a mapping from F4n to F4. We apply this method to demon-strate that the usual nonbinary maximal length sequences have almost ideal correlation under the canonical complex correlation definition and investigate some decimations giving good cross correlation.
A Modified Inverse Eigensensitivity Method for Large Finite Element Models Unlu, Dogus; Ciğeroğlu, Ender; Özgen, Gökhan Osman (2016-01-28) Finite element models should represent the dynamic behavior of real structures accurately to be subsequently used in design purposes. Therefore, finite element model updating methods have been developed in order to decrease the difference between analytical model and modal test results. In this paper, inverse eigensensitivity method as a sensitivity-based model updating method is summarized. Inverse eigensensitivity method with improved sensitivity computation which decreases the total calculation time of t...
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 (2010-12-01) 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.
A New Representation of Elements of Binary Fields with Subquadratic Space Complexity Multiplication of Polynomials 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...
A SPINOR MODEL FOR QUANTUM COSMOLOGY DERELI, T; ONDER, M; TUCKER, RW (1994-03-31) The question of the interpretation of Wheeler-DeWitt solutions in the context of cosmological models is addressed by implementing the Hamiltonian constraint as a spinor wave equation in minisuperspace. We offer a relative probability interpretation based on a non-closed vector current in this space and a prescription for a parametrisation of classical solutions in terms of classical time. Such a prescription can accommodate classically degenerate metrics describing manifolds with signature change. The relat...

Citation Formats

s. boztaş, s. kahraman, F. Özbudak, and E. TEKİN, “A generalized construction for perfect autocorrelation sequences,” 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39117.