We consider the problem of phase retrieval from corrupted magnitude observations. In particular we show that a fixed x0 ∈ Rn can be recovered exactly from corrupted magnitude measurements |〈ai, x0〉|+ ηi, i = 1, 2 . . . m with high probability for m = O(n), where ai ∈ Rn are i.i.d standard Gaussian and η ∈ Rm has fixed sparse support and is otherwise arbitrary, by using a version of the PhaseMax...

In this paper, we propose an optical millimetre wave radio-over-fibre (mm-wave RoF) system that uses a dual drive Mach Zehnder modulator (DD-MZM), which is biased at the maximum transmission biasing point, to generate an optical double sideband-suppressed carrier. The input to the DD-MZM are binary phase shift keying (BPSK), quadrature phase shift keying (QPSK), 8-phase shift keying (8-PSK) and...

Molecular-dynamics simulations are used to study the phase behavior of a single linear multiblock copolymer with blocks of Aand B-type monomers under poor solvent conditions, varying the block length N , number of blocks n, and the solvent quality (by variation of the temperature T ). The fraction f of A-type monomers is kept constant and equal to 0.5, and always the lengths of A and B blocks a...

We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Position of the evader satisfies phase constraints: y∈G, where G is a subset of Rn. We considered two cases: (1) controls of the players satisfy geometric constraints, and (2) controls of the players satisfy total constraints. Terminal set M is a subset of Rn an...

A second virial theory of the isotropic-to-nematic phase transition in solutions of slightly flexible micelles is presented. It is shown that even a infinitesimal flexibility of the micelles can suppress the divergences one would obtain when modeling the micelles as infinitely

In this paper, we propose linear predictive receivers for phaseuncertain channels. These receivers are attractive from a conceptual viewpoint because they generalize previous solutions based on noncoherent sequence detection. On the practical side, the proposed algorithms lend themselves to the implementation of adaptive receivers capable of copying with possible time variations of the statisti...

Northrop Grumman reports on a program utilizing Linear Phase Conjugation to compensate for atmospheric induced aberrations that severely limit laser performance. In a program to improve both the beam quality and laser energy delivered to the target, Northrop Grumman has developed a novel aberration compensation technique. This technique, hereafter referred to as Active Tracking System, utilizes...

Using a surprising result for the Wronskian of solutions with a common factor we show that all of the linearly independent solutions of linear-homogeneous ODEs have a simple form in a generalized phase-integral representation. This allows the generalization of WKB-like expansions to higher-order differential equations in a way that extends the usual phase-integral methods. This work clarifies t...

The symmetric extension method hqs recently been shown to be an eMicient way for subband processing of finitelength sequences. This paper presents an extension of this method to general linear-phase perfect-reconstruction filter banks. We derive constraints on the length and symmetry polarity of the permissible filter banks and propose a new design algorithm. In the algorithm, different symmetr...