1 Abstract In some recent papers new algorithms for blind adaptive equalization were proposed. These algorithms are based on the stochastic gradient method and thus can be regarded as a blindd counterpart to the classic LMS-(least mean squares-) algorithms. It is well-known that these algorithms show relatively slow convergence speed. The classic solution to get fast convergence is the RLS-(rec...

Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. We present here a closed-form solution to the least-squares problem for three or more points. Currently, various empirical, graphical and numerical iterative ...

An analytic solution for high-energy heavy ion transport assuming straight-ahead and velocity-conserving interactions with constant nuclear cross-reactions is given in terms of a Green's function. The series solution for the Green's function is rapidly convergent for most practical applications. The Green's function technique can be applied with equal success to laboratory beams as well as to g...

We derive the first closed-form optimal refinancing rule: Refinance when the current mortgage interest rate falls below the original rate by at least [Formula: see text] In this formula W(.) is the Lambert W-function, [Formula: see text]ρ is the real discount rate, λ is the expected real rate of exogenous mortgage repayment, σ is the standard deviation of the mortgage rate, κ/M is the ratio of ...

Numerical simulation, phase-space analysis, and analytic techniques are three methods used to solve quantitative differential equations . Most work in Qualitative Reasoning has dealt with analogs of the first two techniques, producing capabilities applicable to a wide range of systems . Although potentially of benefit, little has been done to provide closedform, analytic solution techniques for...

In this paper, we present a novel solution for implementing Head-Eye coordination which is an intelligent human behavior. We develop the principle of determining a third unknown view from two known views and apply it to solve Head-Eye coordination problem. The advantages of our solution are: (a) a closed-form solution is obtained and (b) "one-step" or "two-step" control algorithm can be impleme...

We address the problem of 3D reconstruction from image features tracked along a sequence. The most precise algorithms compute the Maximum Likelihood (ML) estimate and are iterative. They need an approximate 3D reconstruction as starting position. For that purpose, we propose a closed-form expression of paraperspective reconstruction. A matrix that approximately verifies the properties of a para...

In this paper, we study the solution of difference equation Ω m + 1 = − 7 q 6 / ∏</...