Abstract: A method and apparatus for representing a complex vector signal by determining representative coordinates for the complex vector signal, wherein at least some of the determined representative coordinates are associated with corresponding reference coordinates; associating each of at least a portion of the determined representative coordinates and corresponding reference coordinates with at least one of a plurality of temporal spans; and selectively processing each of a plurality of temporal spans.

Abstract: A method for identifying spectral impulses applies a window filter to an acquired waveform to produce a filtered waveform, and performs an FFT function on the filtered waveform to produce a spectrum of bins. An estimating window is located on the spectrum and centered on a target bin. Bins adjacent to the target bin are excluded and the remaining bins are used to form a noise estimate. The estimate is compared to the target bin and if the result exceeds a threshold value, a spectral impulse is identified.

Abstract: A jitter separation apparatus and method, based on spectrum analysis, separates deterministic jitter and random jitter using their spectral properties. Deterministic jitter is periodic and nature and exhibits a spectrum of impulses, whereas random jitter exhibits a broad, flat spectrum. A time domain histogram and a frequency domain histogram of the signal are investigated to obtain jitter components.