학술논문

Unknown Signal Detection in Switching Linear Dynamical System Noise
Document Type
Periodical
Source
IEEE Transactions on Signal Processing IEEE Trans. Signal Process. Signal Processing, IEEE Transactions on. 71:2220-2234 2023
Subject
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Computing and Processing
Superluminescent diodes
Hidden Markov models
Switches
Detectors
Viterbi algorithm
Autoregressive processes
Signal detection
switching linear dynamical system
Bayesian nonparametrics
generalized likelihood ratio test
Markov jump linear system
Language
ISSN
1053-587X
1941-0476
Abstract
A machine learning approach is presented for detecting unknown or anomalous signals in a complicated background of interfering signals and noise. The approach can be employed in RF spectrum monitoring applications to efficiently detect transmissions that deviate from a typical signal environment. For example, in the cognitive radio domain, the technique may be applied to learn the typical behavior of spectrum sharing secondary users and efficiently detect noncompliant transmissions. A switching linear dynamical system (SLDS) is trained to represent the interference and noise environment via a Bayesian nonparametric hierarchical Dirichlet process (HDP)-SLDS technique. An unknown signal is detected if the Viterbi hidden switching state path of the test data is sufficiently unlikely under the learned background SLDS. The detection scheme is derived as a generalized likelihood ratio test (GLRT) for an unknown deterministic signal in SLDS noise. The distribution of the Viterbi likelihood test statistic under the null hypothesis (signal absent) is analyzed and an asymptotic upper bound on the false alarm probability is derived as a function of the detection threshold. Numerical simulation and experimental results on a software-defined radio (SDR) testbed demonstrate that the empirical false alarm rate obeys the upper bound and that the SLDS detection approach substantially outperforms an earlier HMM-based scheme as well as a standard energy detector in a challenging interference and noise background.