Some notes on wavelet analysis of time-variant electrical networks

After presenting a new approach for the analysis and the resolution of linear time-variant circuits, based on wavelet functions, the authors introduce some specific considerations related to matrix properties associated with such methodology. The simple recursive algorithm for the construction of the integral and convolution matrices and the topological matrix are evaluated in depth in order to bring out the most interesting features. Proposals for numerical optimizations are also given. An example including a three-phase inverter studied using such a technique is presented.