Spontaneous line splitting in maximum entropy power spectrum analysis

Physics

Scientific paper

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Scientific paper

The Burg maximum entropy power spectral estimate yields extremely sharp spectra with high resolution. If the noise level is low, the power spectrum closely resembles a line spectrum. We have discovered, however, that under certain conditions, spontaneous line splitting occurs; lines which should be single split into two or more components. A series of computer experiments using artificial times series was performed with the following results. If the signal length is any multiple of 0.5 cycle there is no splitting for any initial phase of the sine wave; in fact, the spectrum is extremely sharp and stable. The same result applies to a signal length which is an odd multiple of 0.25 cycle but only with an initial phase of 0° or 90°. The splitting is most severe if the signal length is an odd multiple of quarter cycles and the initial phase is an odd multiple of 45°. In this case splitting persists even for signals as long as 49.25 cycles.

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