Comparison of Higher Order Moment Spectrum Estimation Techniques
Jeffrey F. McAloon · Defense Technical Information Center (DTIC) · 1993
This thesis compares the detection performance of the 1-1/2 D instantaneous power spectrum (1-1/2 D sub ips), the bispectrum, the instantaneous higher-order moment slice (IHOMS) method, and the spectrogram for multi-component stationary signals, harmonically related stationary signals, and multi-component linear FM signals corrupted by additive white Gaussian noise. In addition, a determination of the relative processing gain between the 1-1/2 D sub ips method and the spectrogram is made for stationary signals in noise. The results of this thesis show that 1-1/2 Dips has a processing gain advantage over that of the spectrogram for a range of input SNR that depends upon the size of the data window. Under some conditions, the bispectrum can detect both harmonic coupling and phase coupling between the components of multi-component signals. IHOMS' ability to detect linear chirps in noise is limited to chirps having different slew rates, and the method has a significantly greater computational cost than both the spectrogram and 1- 1/2 Dips. Bispectrum, 1-1/2 D, IPS, Higher-order moments, Cumulants