A fast algorithm for polynomial E-pulse synthesis

In this paper, the E-pulse (extinction pulse) method known as aspect-independent ultra-wideband radar target discrimination technique is discussed. An alternative synthesis algorithm for the subsection polynomial E-pulse is introduced. The algorithm consists in building a skeleton E-pulse, its further extending and series of integration which all could be performed over the coefficients of basic functions. Not only the proposed algorithm performs up to a thousand times faster than direct matrix solution but it obtains the polynomial coefficients of the E-pulse sections avoiding the solution of a linear problem associated with ill-conditioned sparse matrix. It is proven that E-pulse signals synthesized by means of the fast algorithm and the direct one are exactly the same. To exposure the features of the E-pulse technique, two targets discriminating scheme has been simulated.