Abstract
It is of significant importance to investigate the transient behaviors of signed LMS algorithms under the cyclostationary colored Gaussian inputs for the design of corresponding filters in practical applications. In this brief, we derive the analytical models of a family of signed LMS algorithms with the cyclostationary colored Gaussian inputs in the mean and mean-square sense for the nonstationary system identification. Simulation results illustrate the excellent consistency between the simulated results and the theoretical findings.
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