Ahstruct-A “coordinate recurrence” method for solving sparse systems of linear equations over finite fields is described. The algorithms discussed all require O( n,( w + nl) logkn,) field operations, where nI is the maximum dimension of the coefficient matrix, w is approximately the number of field operations required to apply the matrix to a test vector, and the value of k depends on the algor...

Joint probability distributions are derived that are expressed in terms of the determinants that form the determinantal inequalities associated with the non-negative Fourier series that represent crystal structures. The derivation involves heuristic considerations. It is therefore appropriate to test the distributions extensively by making comparisons with results obtained by other theoretical ...

Space Time Trellis codes provided maximum diversity advantage using simple decoding techniques. However, space-time block codes did not provide coding gain, and nonfullrate space-time block codes introduced bandwidth expansion. In this paper we implement space time trellis code using relay fading scenario. We present here the design of the 4psk with 2 transmit antennas and 1,2,4 receiver antenn...

We prove tight bounds for the ∞-norm of the inverse of a symmetric, diagonally dominant positive matrix J ; in particular, we show that ‖J‖∞ is uniquely maximized among all such J . We also prove a new lower-bound form of Hadamard’s inequality for the determinant of diagonally dominant positive matrices and an improved upper bound for diagonally balanced positive matrices. Applications of our r...

This paper is concerned with proving the existence of solutions to an underdetermined system of equations and with the application to existence of spherical t-designs with (t+ 1)2 points on the unit sphere S2 in R3. We show that the construction of spherical designs is equivalent to solution of underdetermined equations. A new verification method for underdetermined equations is derived using B...

We have shown previously that vocal tract normalization (VTN) results in a linear transformation in the cepstral domain. In this paper we show that Mel-frequency warping can equally well be integrated into the framework of VTN as linear transformation on the cepstrum. We show examples of transformation matrices to obtain VTN warped Mel-frequency cepstral coefficients (VTN-MFCC) as linear transf...

Our aim is to construct a factor analysis method that can resist the effect of outliers. We start with a highly robust initial covariance estimator, after which the factors can be obtained from maximum likelihood or from principal factor analysis (PFA). We find that PFA based on the minimum covariance determinant scatter matrix works well. We also derive the influence function of the PFA method...

The total variation T V (u) of the Jacobian determinant of non-smooth vector fields u has recently been studied in [2]. We focus on the subclass u(x) = ϕ(x/|x|) of homogeneous extensions of smooth functions ϕ : ∂B n → R n. In the case n = 2, we explicitely compute T V (u) for some relevant examples exhibiting a gap with respect to the total variation |DetDu| of the distributional determinant. W...

‎Let $lambda_1,dots,lambda_n$  be positive real numbers such that $sum_{k=1}^n lambda_k=1$. In this paper, we prove that for any positive operators $a_1,a_2,ldots, a_n$ in semifinite von Neumann algebra $M$ with faithful normal trace that $t(1)