A construction of hexagonal shaped 8-point QAM called H8QAM is shown. It is shown that H8QAM constellation outperforms the conventional rectangular constellation and 8-PSK. Further, we construct H8QAM sequences having low peak-to-mean envelope power ratios (PMEPR) from QPSK Golay sequences. Various upper bounds on peak envelope powers of these sequences are evaluated.

We generalize the construction of Doppler-tolerant Golay complementary waveforms by Pezeshki-CalderbankMoran-Howard to complementary code sets having more than two codes. This is accomplished by exploiting numbertheoretic results involving the sum-of-digits function, equal sums of like powers, and a generalization to more than two symbols of the classical two-symbol Prouhet-Thue-Morse sequence.

We generalize the construction of Doppler-tolerant Golay complementary waveforms by PezeshkiCalderbank-Moran-Howard to complementary code sets having more than two codes. This is accomplished by exploiting number-theoretic results involving the sum-of-digits function, equal sums of like powers, and a generalization to more than two symbols of the classical two-symbol Prouhet-Thue-Morse sequence.

A construction of hexagonal shaped 8-point QAM called H8QAM is shown. H8QAM constellation outperforms the conventional rectangular constellation and 8-PSK. Furthermore, construction of H8QAM Golay sequences having low peak-tomean envelope power ratios (PMEPR) from two QPSK Golay sequences is presented. Various upper bounds on peak envelope powers of these sequences are evaluated.

For binary noncoherent orthogonal frequency-shift keying and binary differential phase-shift keying over slow nonselective Rician fading channels having arbitrarily correlated branches and unequal branch powers, a closed-form expression for the symbol-error probability in the case of postdetection equal-gain combining is obtained directly from the characteristic function of the decision variable.

We obtain the Edgeworth expansion for P (n1/2(θ̂− θ) < x) and its derivatives, and the tilted Edgeworth (or saddlepoint or small sample) expansion for P (θ̂ < x) and its derivatives where θ̂ is any vector estimate having the standard cumulant expansions in powers of n−1. AMS 2000 Subject Classification: Primary 60F10; Secondary 62F05.

The etymological meaning of ‘omnipotent’ is ‘all-powerful.’ Being all-powerful is usually understood as having all of the powers. The problem of analyzing omnipotence is then seen as the problem of determining over what class the quantifier ‘all’ in this assertion ranges. An omnipotent being would be one that has all of the powers; all of what powers? Attempts to answer this question have run i...

We develop tools to study the problem of containment of symbolic powers I(m) in powers I for a homogeneous ideal I in a polynomial ring k[P ] in N + 1 variables over an arbitrary algebraically closed field k. We obtain results on the structure of the set of pairs (r, m) such that I(m) ⊆ I. As corollaries, we show that I2 contains I(3) whenever S is a finite generic set of points in P2 (thereby ...

Since 2 is a primitive root of 3 for each positive integer m, the set of points {(n, 2 mod 3) : n > 0}, viewed as a subset of Z>0×Z>0 is bi-periodic, with minimal periods φ(3) (horizontally) and 3 (vertically). We show that if one considers the classes of n modulo 6, one obtains a finer structural classification. This result is presented within the context of the question of strong normality of...

Introdouction: Dentinal hypersensitivity (DH) is one of the most painful chronic problems reported in dental offices. Various methods have been applied for the treatment of DH. However, majority of them are either ineffective or last for a short period of time. It has been reported that lasers, particularly Neodymium- doped: Yttrium Aluminum Garnet laser (Nd: YAG), can be helpful in the treatme...