Unimodular perfect sequences of length p/sup s

EM Gabidulin, VV Shorin - IEEE transactions on information …, 2005 - ieeexplore.ieee.org
… a unimodular perfect sequence of length pk , given a unimodular perfect sequence of length
ps … generalizes previously known “even,” “odd,” and “unified” constructions for length n = ps

New algorithms for designing unimodular sequences with good correlation properties

P Stoica, H He, J Li - IEEE Transactions on Signal Processing, 2009 - ieeexplore.ieee.org
… limit the discussion to general unimodular sequences, but we note here that finite-alphabet
unimodular sequences, such as m-ary phase-shift keying sequences, can also be dealt with …

On prime root-of-unity sequences with perfect periodic correlation

M Soltanalian, P Stoica - IEEE Transactions on Signal …, 2014 - ieeexplore.ieee.org
… ′ and ps (where p and p ′ are prime) were introduced and studied … unimodular perfect
sequences enjoy a similar set of equivalence properties: let x be a unimodular perfect sequence

[PDF][PDF] Perfect sequences and arrays of unbounded lengths and sizes over the basic quaternions

SB Acevedo - 2013 - academia.edu
… Once the question of the existence of perfect sequences of unbounded lengths over the …
by Arasu and de Launey be extended to perfect arrays over the basic quaternions? In order to …

Construction of unimodular sequence sets for periodic correlations

H He, D Vu, P Stoica, J Li - … Record of the Forty-Third Asilomar …, 2009 - ieeexplore.ieee.org
sequence of length N whose autocorrelations are zero for all time lags. Such a sequence is
called a perfect sequence… many perfect sequences of the same length (see [18]). Denote this …

Unimodular sequence and receiving filter design for local ambiguity function shaping

F Wang, S Feng, J Yin, C Pang, Y Li… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
… designing unimodular sequence and receiving filters, and also unimodular complementary
sequences … constraint, the projection transformation can simply be selected as Ps(·) = ej arg(·) …

Designing unimodular sequence sets with good correlations—Including an application to MIMO radar

H He, P Stoica, J Li - IEEE Transactions on Signal Processing, 2009 - ieeexplore.ieee.org
… and pick up the best sequence. Moreover, the computation time of CAN grows roughly as …
We use a randomly generated unimodular sequence to initialize both WeCAN and CA. To …

On designing sequences with impulse-like periodic correlation

P Stoica, H He, J Li - IEEE Signal Processing Letters, 2009 - ieeexplore.ieee.org
… ; for example, in the case of unimodular sequences mentioned above, we have … To
illustrate the above claim, we consider the design of a unimodular sequence (with ) of length

[PDF][PDF] Finite unimodular groups of prime degree and circulants

W Plesken - Journal of Algebra, 1985 - core.ac.uk
… consequence of (11.4) and the fact that the pth cyclotomic fields a([,) have classnumber 1 for
p < 19, each irreducible finite subgroup of GL,(Z), p 6 19 prime, is conjugate to a unimodular

Application of Groebner bases techniques for searching new sequences with good periodic correlation properties

VV Shorin, P Loidreau - … on Information Theory, 2005. ISIT 2005 …, 2005 - ieeexplore.ieee.org
… Two different constructions are used for unimodular perfect sequences: for lengths n = p =
5f +1 and n = p1p2 = (4Q+3)(4P +1), where p, p1,p2 are prime numbers and f,P,Q are integers. …