Definitions for deconvolution
de·con·vo·lu·tion

WiktionaryRate this definition:0.0 / 0 votes

1. deconvolutionnoun

   The inversion of a convolution equation; does not normally have unique solution

WikipediaRate this definition:0.0 / 0 votes

1. Deconvolution

   In mathematics, deconvolution is the operation inverse to convolution. Both operations are used in signal processing and image processing. For example, it may be possible to recover the original signal after a filter (convolution) by using a deconvolution method with a certain degree of accuracy. Due to the measurement error of the recorded signal or image, it can be demonstrated that the worse the SNR, the worse the reversing of a filter will be; hence, inverting a filter is not always a good solution as the error amplifies. Deconvolution offers a solution to this problem. The foundations for deconvolution and time-series analysis were largely laid by Norbert Wiener of the Massachusetts Institute of Technology in his book Extrapolation, Interpolation, and Smoothing of Stationary Time Series (1949). The book was based on work Wiener had done during World War II but that had been classified at the time. Some of the early attempts to apply these theories were in the fields of weather forecasting and economics.

WikidataRate this definition:5.0 / 1 vote

1. Deconvolution

   In mathematics, deconvolution is an algorithm-based process used to reverse the effects of convolution on recorded data. The concept of deconvolution is widely used in the techniques of signal processing and image processing. Because these techniques are in turn widely used in many scientific and engineering disciplines, deconvolution finds many applications. In general, the object of deconvolution is to find the solution of a convolution equation of the form: Usually, h is some recorded signal, and ƒ is some signal that we wish to recover, but has been convolved with some other signal g before we recorded it. The function g might represent the transfer function of an instrument or a driving force that was applied to a physical system. If we know g, or at least know the form of g, then we can perform deterministic deconvolution. However, if we do not know g in advance, then we need to estimate it. This is most often done using methods of statistical estimation. In physical measurements, the situation is usually closer to In this case ε is noise that has entered our recorded signal. If we assume that a noisy signal or image is noiseless when we try to make a statistical estimate of g, our estimate will be incorrect. In turn, our estimate of ƒ will also be incorrect. The lower the signal-to-noise ratio, the worse our estimate of the deconvolved signal will be. That is the reason why inverse filtering the signal is usually not a good solution. However, if we have at least some knowledge of the type of noise in the data, we may be able to improve the estimate of ƒ through techniques such as Wiener deconvolution.

How to pronounce deconvolution?

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How to say deconvolution in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of deconvolution in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of deconvolution in Pythagorean Numerology is: 7

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References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Deconvolution
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Deconvolution
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=deconvolution