Correlational accumulation as a method for signal restoration

Leonid Yaroslavsky, Murray Eden

Research output: Contribution to journalConference articlepeer-review

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 signaltonoise ratio. 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-Tonoise ratio in the observed signal-plus-noise realizations. A modified correlational accumulation technique with improved capability of restoration of the signal shape is suggested.

Original languageEnglish
Pages (from-to)353-364
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume2167
DOIs
StatePublished - 11 May 1994
Externally publishedYes
EventMedical Imaging 1994: Image Processing - Newport Beach, United States
Duration: 13 Feb 199418 Feb 1994

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