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Title: Modified Arcsine Law for One-Bit Sampled Stationary Signals with Time-Varying Thresholds
One-bit quantization has attracted considerable attention in signal processing for communications and sensing. The arcsine law is a useful relation often used to estimate the normalized covariance matrix of zero-mean stationary input signals when they are sampled by one-bit analog-to-digital converters (ADCs)---practically comparing the signals with a given threshold level. This relation, however, only considers a zero threshold which can cause a remarkable information loss. For the first time in the literature, this paper introduces an approach to extending the arcsine law to the case where one-bit ADCs apply time-varying thresholds. In particular, the proposed method is shown to accurately recover the variance and autocorrelation of the stationary signals of interest.  more » « less
Award ID(s):
1704401
PAR ID:
10223706
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Proceedings of the IEEE International Conference on Acoustics Speech and Signal Processing
ISSN:
2379-190X
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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