Convolution in time domain can also help you analyze linear time-invariant (LTI) systems by using the impulse response as the filter and applying the superposition principle.

In this paper we investigate the class of cyclic block transmultiplexers (TMUXs). The perfect reconstruction (PR) conditions of their prototype function are derived both in time and frequency domain.

A procedure for transient-eddy-current analysis is reported that is more efficient than conventional methods. Convolution in the time domain is used to convert the time operator into a symmetric form.

Donghao Luo and Xue Wang. ModernTCN: A Modern Pure Convolution Structure for General Time Series Analysis. In International Conference on Learning Representations, 2024. [Our paper in OpenReview]. We ...