One “problem” with the 21st century world, particularly the economic and business worlds, is the phenomenal and increasing number of interconnections between economic agents (consumers, firms, banks, markets, national economies). This implies that such agents are all interacting and consequently giving raise to enormous degrees of non-linearity, a.k.a. complexity. Complexity often brings with i...

Let L be an extension of degree m of the eld F2. Let be the canonical additive character of L. The Fourier coe cient of the polynomial f(X) 2 L[X ] at the point a 2 L is de ned by b f(a) = P x2L (f(x) + a:x): The spectral magnitude of f , R(f) := supa2F 2 j b f(a)j, is one of the most important cryptographic parameters associated to f [10]. The determination of the spectral magnitude of power f...

In the standard picture of structure formation, initially random-phase fluctuations are amplified by non-linear gravitational instability to produce a final distribution of mass which is highly non-Gaussian and has highly coupled Fourier phases. Second-order statistics, such as the power spectrum, are blind to this kind of phase association. We discuss the information contained in the phases of...

we have examined the convergence behavior of the lscma in some simple environments. algorithms such as multi¬ target cma, multistage cma, and iterative least squares with projection can be used for this purpose. the results presented here can form a basis for analysis of these multi-signal extraction techniques. clearly, the variance and distribution of output sinr obtained with the lscma is al...