A new class of algorithms based on the fractional lower order statistics is proposed for finite-impulse response adaptive filtering in the presence of-stable processes. It is shown that the normalized least mean p-norm (NLMP) and Douglas' family of normalized least mean square algorithms are special cases of the proposed class of algorithms. A convergence proof for the new algorithm is given by showing that it performs a descent-type update of the NLMP cost function. Simulation studies indicate that the proposed algorithms provide superior performance in impulsive noise environments compared to the existing approaches.

A catalytic aza-Nazarov cyclization between 3,4-dihydroisoquinolines and α,β-unsaturated acyl chlorides has been developed to access α-methylene-γ-lactam products in good yields (up to 79%) as single diastereomers. The reactions proceed efficiently when AgOTf is used as an anion exchange catalyst with a 20 mol % loading at 80°C. Computational studies were performed to investigate the reaction mechanism, and the findings support the role of the −TMS group in reducing the reaction barrier of the key cyclization step.

The Gaussian signals can be treated in a Hilbert space framework which allows the use of La norm in various optimiza.tion criteria. Whereas the linear vector space genera.ted by a-st,able distributions is a ( 3 ).E[lXl'] < 00, for all p 2 0.

A new, catalytic, and general methodology was developed for the direct synthesis of unsymmetrical AB-type tripyrranes by reaction of dipyrromethanesulfonamides with pyrrole. Key structure dipyrromethanesulfonamides were synthesized by the addition of meso-substituted dipyrromethanes to