in this paper, a new algorithm for system identification based on frequency response is presented. in this method, given a set of magnitudes and phases of the system transfer function in a set of discrete frequencies, a system of linear equations is derived which has a unique and exact solution for the coefficients of the transfer function provided that the data is noise-free and the degrees of...

The wavelet dimension function for arbitrary real dilations is defined and used to address several questions involving the existence of MRA wavelets and well-localized wavelets for irrational dilations. The theory of quasi-affine frames for rational dilations and the existence of non-MSF wavelets for certain irrational dilations play an important role in this development. Expansive dilations ad...

Calculations typically performed on a calculator or computer show the result as decimal fraction if it is not an integer. It would be easier to interpret value could expressed with integers and operations, such root subtraction operation. This article shows how this can done developed algorithm in Microsoft Excel, which recognizes most famous irrational numbers displays them text form together ...

Since its inception, the literature on IT outsourcing has acknowledged that the strategy has the potential for substantial benefits, but also the likelihood of significant risks. However, these risks have not deterred the growth of IT outsourcing. This may be because the literature has not fully explored the probability of encountering IT outsourcing risks, and, conversely, the probability of s...

Frequency response diagrams of a system include detailed and recognizable information about the structural and parameter effects of the transfer function model of the system. The information are qualitatively and quantitatively obtainable from simultaneous consideration of amplitude ratio and phase information. In this paper, some rules and relationships are presented for making use of frequenc...

The ”irrational exuberance” of the stock market in the late 1990’s lead to a discussion of the appropriate policy response by monetary authorities. Any response would be contingent on the stock market reaction to policy shocks. In this study I employ a structural VAR to estimate the response of the stock market returns to innovations in the federal funds rate. The effect of the stock market on ...

This chapter deals with finite range monotone variational recurrence relationsover Z. Such recurrence relations arise in solid state physics, conservative lattice dynamics and as Hamiltonian twist maps. An example is the Frenkel-Kontorova lattice. AubryMather theory guarantees the existence of action-minimizing solutions of every rotation number ω ∈ R. For every ω these minimizers form ordered ...