Distributional time-domain system representations
Distributional time-domain system representations
In this paper we analyze the convergence behavior of convolution-type system representations for the Paley-Wiener space PWπ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> . We completely characterize all stable linear time-invariant (LTI) systems for which we have convergence in the distributional sense by giving a necessary and sufficient condition for convergence. Furthermore, we …