@article {948, title = {Maximally stationary window design for overlap-add based random vibration synthesis}, journal = {Mechanical Systems and Signal Processing}, volume = {122}, year = {2019}, month = {05/2019}, pages = {642-657}, abstract = {
The accurate synthesis of realistic waveforms conforming to certain speci ca-
tions is a fundamental step in random vibration testing. Since real-time imple-
mentation of digital signal processing systems for random vibration and noise
synthesis necessarily operates frame by frame, the overlap-add (OLA) method,
by which frames are windowed and overlapped, is widely used in practice to
avoid artifacts at frame boundaries. When a wide-sense stationary random
signal is desired, however, the OLA method presents a shortcoming, because
the inherent periodicity of the frame-by-frame process unavoidably produces a
cyclostationary signal, i.e., its statistics present an undesired periodic behav-
ior. We analyze the impact of the window coecients in the cyclostationarity
properties of the synthetic process, and then present algorithms for window de-
sign with the goal of maximizing a measure of its stationarity, considering both
second- and fourth-order statistical properties. The proposed designs are shown
to signi cantly improve the stationarity properties when compared to commonly
used windows.
}, keywords = {random vibration}, doi = {10.1016/j.ymssp.2018.12.038}, author = {Dami{\'a}n Gonz{\'a}lez and R. L{\'o}pez-Valcarce} }