Time-domain tests for Gaussianity and time-reversibility

Time-domain chi-squared statistical tests are useful in characterizing the tradeoffs between higher-order statistics (HOS) and second-order statistics (SOS) and in validating the time-reversibility and Gaussianity of the statistical signal processing algorithms. The efficient Gaussianity statistics provides a constant-false-alarm-rate test, enables parametric modeling and helps derive the power of the time-reversibility and Gaussianity tests. Comparison of the statistical tests with the present frequency-domain method was done using simulations.