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

The convolution of two φ-convex functions is estimated by means of an inequality of Hadamard type. The sharpness of this inequality is discussed. As consequence, few inequalities for the convolution ...

Convolution integral: response to step In a lecture example, we used the convolution integral approach to study the response of an undamped oscillator excited by the rectangular pulse shown below.