On Sequential Random Distortion Testing of Non-Stationary Processes
Prashant Khanduri, Dominique Pastor, Vinod Sharma, Pramod K. Varshney
Abstract
Random distortion testing (RDT) addresses the problem of testing whether or not a random signal, Ξ, deviates by more than a specified tolerance, τ, from a fixed value, ξ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> [1]. The test is nonparametric in the sense that the distribution of the signal under each hypothesis is assumed to be unknown. The signal is observed in independent and identically distributed (i.i.d) additive noise. The need to control the probabilities of false alarm and missed detection while reducing the number of samples required to make a decision leads to the SeqRDT approach. We show that under mild assumptions on the signal, SeqRDT will follow the properties desired by a sequential test. Simulations show that the SeqRDT approach leads to faster decision making compared to its fixed sam-ple counterpart Block-RDT [2] and is robust to model mismatches compared to the Sequential Probability Ratio Test (SPRT) [3] when the actual signal is a distorted version of the assumed signal especially at low Signal-to-Noise Ratios (SNRs).
BibTeX
@inproceedings{icassp2018_onsequentialrand,
title = {On Sequential Random Distortion Testing of Non-Stationary Processes},
author = {Prashant Khanduri and Dominique Pastor and Vinod Sharma and Pramod K. Varshney},
booktitle = {ICASSP 2018},
year = {2018}
}