Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

Convolution is a ubiquitous process that serves to describe effects ranging from acoustic echoes to the blurring of photographic images. In optics and electrical engineering, many devices are ...

Here we derive from the underlying mathematical foundation and propose a new class of spectrometer, which harnesses the convolution theorem, one of the most fundamental principles in signal processing ...

A key algorithm that quietly empowers and simplifies our electronics is the Fourier transform, which turns the graph of a signal varying in time into a graph that describes it in terms of its ...