This paper uses Newton’s method to seek the global minimum of the constant modulus performance measure. Unlike the common practice of using the constant modulus adaptive algorithm, the new approach does not suffer from local minima. The paper also discusses some implementation issues of the new algorithm.

Blind beamforming has been studied extensively in recent times. Array signal processing is an effective technique for signal extraction in communication systems. We employe minimum entropy deconvolution (MED) principle for source extraction. Results are shown which indicate good performance in comparison with conventional adaptive algorithms like the constant modulus algorithm and the multi-mod...

In the studies of low thrust time optimal orbital transfer it was conjectured that, when the thrust modulus tends to zero, the product of this modulus by the minimum transfer time admits a finite limit. The purpose of the present note is to better frame the nature of this asymptotic behavior and to prove this conjecture.

An adaptive reinitialization algorithm for the constant modulus algorithm is proposed that relies on the similarities between the constant modulus and the Wiener equalizer and expands the capabilities of a previous algorithm. The proposed algorithm determines adaptively if the CMA will benefit through reinitialization, and if so, it will calculate new equalizer coefficients leading to the globa...

We investigate two greedy strategies for finding an approximation to the minimum of a convex function E defined on a Hilbert space H. We prove convergence rates for these algorithms under suitable conditions on the objective function E. These conditions involve the behavior of the modulus of smoothness and the modulus of uniform convexity of E.

Many proofs of the fundamental theorem of algebra rely on the fact that the minimum of the modulus of a complex polynomial over the complex plane is attained at some complex number. The proof then follows by arguing the minimum value is zero. This can be done by proving that at any complex number that is not a zero of the polynomial we can exhibit a direction of descent for the modulus. In this...

We propose a global convergence baud-spaced blind equalization method in this paper. This method is based on the application of both generalized pattern optimization and channel surfing reinitialization. The potentially used unimodal cost function relies on higherorder statistics, and its optimization is achieved using a pattern search algorithm. Since the convergence to the global minimum is n...

Composition dependence of Young’s modulus in Ti-V and Ti-Nb binary alloys and Sn-added ternary alloys quenched from phase region was investigated at room temperature in relation to the stability of phase. A minimum of Young’s modulus in the binary alloys appears at such a composition that athermal ! phase transformation is almost completely suppressed. Formation of isothermal ! phase by aging a...