Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

The Convolution Integral Recall that the convolution integral process is broken down into four steps: folding the impulse response function: h (tau) folds to h (-tau) shifting the impulse response ...

In this paper we study a class of functional operators under which the convexity of convex set functions is preserved. In particular, convolution of convex set functions is defined and its convexity ...

It introduces step and impulse functions and their responses in LTI circuits. It covers the solving of convolution integrals and differential equations, the transformation of signals to Fourier series ...

The developer behind Reverberate and Filtrate has released a new convolution reverb processor on the iOS App Store. Operable on iPhone and iPad, Mobile Convolution can load up and import impulse ...