A Mathematical Model for Signal's Energy at the Output of an Ideal DAC

Abstract—In this paper we apply some results obtained for ”perturbed” Whittaker’s cardinal series, ∑ k∈Z ak sinc(t − λk), to problem of signal reconstruction in a Digital Audio Processes, where we consider ideal bandlimited interpolation and the variability of {λk}k∈Z models sampling clock jitter effects. Results applied in this work concern a stability theorem, by previous work, and a generalization of the Parseval’s identity for perturbed Whittaker’s cardinal series, here introduced for the first time.