Decoupled Method for Approximation of Signals by Exponentials

This noniterative method for approximating empirical signals over [O, ¿) by a linear combination of exponentials yields suboptimal approximation. Notably, the dependence of the suboptimal exponents ¿i¿ on the fractional integral square error ¿ is such that lim¿¿0 ¿i = ¿i, the optimal exponents. The integral square error in representation is studied for a sin and a square pulse, and a useful error formula is developed.