In this paper, for a prime number , a construction method to generate -ary -form sequences with the ideal autocorrelation property is proposed and using the ternary sequences found by Helleseth, Kumar, and Martinsen, ternary -form sequences with the ideal autocorrelation property are constructed. By combining the methods for generating -ary extended sequences (a special case of geometric sequen...

We have studied, for the first time experimentally, the efficiency and spectral responsivity of an autocorrelation technique that is based on second harmonic generation from metal surfaces. High-quality autocorrelation traces are obtained with pulse energies as small as only 64 pJ (intensity 6.5 MW/cm), resulting in an efficiency that is comparable with existing nonlinear-crystal-based autocorr...

Few methods exist that can accurately handle dynamic light scattering in the regime between single and highly multiple scattering. We demonstrate dynamic light scattering Monte Carlo (DLS-MC), a numerical method by which the electric field autocorrelation function may be calculated for arbitrary geometries if the optical properties and particle motion are known or assumed. DLS-MC requires no as...

A set of sequences is complementary, if the sum of their periodic or nonperiodic autocorrelation function is zero. Infinite families of orthogonal designs, based on some weighing matrices of order 2n, weight 2n− k and spread σ, are constructed from two circulants matrices by using complementary sequences of zero non-periodic autocorrelation function, i.e. ternary complementary pairs. Moreover, ...

The polarization-resolved electric field autocorrelation function for p-order scattering was derived from the order-of-scattering solution of the exact equations for electromagnetic multiple Rayleigh scattering and was calculated for 2 </= p </= 6 for particles undergoing diffusive motion in an idealized sample cell. It was found that the polarization-channel and the scattering-angle dependence...

The autocorrelation function of the all-pole filter given by the conventional linear prediction (LP) matches exactly the autocorrelation function of the input signal between indices 0 and m, when the prediction order equals m. This study describes a recently developed technique, Weighted-Sum Line Spectrum Pair (WLSP), where an all-pole filter is defined by using a sum of weighted LSP (Line Spec...