Method and apparatus for estimating frequency domain representation of signals

A signal processing method for estimating a frequency domain representation of signal from a series of samples distorted by an instrument function, the method comprising obtaining the series of samples; obtaining a set of coefficients that fit a set of basis functions to a complex exponential functi...

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Bibliographic Details
Main Authors Pier Luigi Dragotti, Thierry Albert Jean-Louis Blu, Jose Antonio Uriguen
Format Patent
LanguageEnglish
Published 18.10.2017
Subjects
CALCULATING
COMPUTING
COUNTING
IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
PHYSICS
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Summary:A signal processing method for estimating a frequency domain representation of signal from a series of samples distorted by an instrument function, the method comprising obtaining the series of samples; obtaining a set of coefficients that fit a set of basis functions to a complex exponential function wherein the set of basis functions comprises a plurality of basis functions each defined by a shifted version of the instrument function in a signal domain; estimating the frequency domain representation of the signal based on the series of samples and the coefficients. This is wherein the estimate of the instrument function is based on a characterization of the instrument function in the frequency domain at frequencies associated with the complex exponential function.
Bibliography:Application Number: GB20130009689