Bayesian Information Criterion for Signed Measurements With Application to Sinusoidal Signals

The problem of model order selection from signed measurements obtained via 1-bit sampling is considered. The extension of the Bayesian information criterion (BIC) to the case of 1-bit sampling, referred to as 1bBIC, is proposed to determine the signal model order. A detailed analysis of and an application to sinusoidal signals are presented to demonstrate the performance of 1bBIC when the One-Bit RELAX algorithm is used to estimate the parameters of sinusoidal signals.