Correlational accumulation as a method for signal restoration

Leonid P. Yaroslavsky; Murray Eden

doi:10.1117/12.175069

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11 May 1994 Correlational accumulation as a method for signal restoration

Leonid P. Yaroslavsky, Murray Eden

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Proceedings Volume 2167, Medical Imaging 1994: Image Processing; (1994) https://doi.org/10.1117/12.175069
Event: Medical Imaging 1994, 1994, Newport Beach, CA, United States

Abstract

Signal restoration from multiple copies derived from a single object is investigated for the case in which signal copies are observed mixed with additive signal independent noise and with unknown mutual displacement. The known two stage restoration procedure, registration of the signal realizations by localization of the maximum of the signal copies' cross- correlation functions, followed by averaging of the registered realizations, is analyzed with an emphasis on its properties for very low signal-to-noise ration. The following problems are addressed and solved: optimality of the correlational accumulation in terms of its noise reduction capability; signal distortions which originate from the signal registration errors; noise reduction capability of the correlational accumulation (averaging) as a function of signal-to-noise ratio in the observed signal-plus-noise realizations. A modified correlational accumulation technique with improved capability of restoration of the signal shape is suggested.

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Leonid P. Yaroslavsky and Murray Eden "Correlational accumulation as a method for signal restoration", Proc. SPIE 2167, Medical Imaging 1994: Image Processing, (11 May 1994); https://doi.org/10.1117/12.175069

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