Convolution theorem and Fourier optics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Convolution theorem and Fourier optics

Convolution theorem vs. Fourier optics

In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms. Fourier optics is the study of classical optics using Fourier transforms (FTs), in which the wave is regarded as a superposition of plane waves that are not related to any identifiable sources; instead they are the natural modes of the propagation medium itself.

Similarities between Convolution theorem and Fourier optics

Convolution theorem and Fourier optics have 5 things in common (in Unionpedia): Convolution, Fourier transform, Frequency domain, Hartley transform, Signal processing.

Convolution

In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.

Convolution and Convolution theorem · Convolution and Fourier optics · See more »

Fourier transform

The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.

Convolution theorem and Fourier transform · Fourier optics and Fourier transform · See more »

Frequency domain

In electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time.

Convolution theorem and Frequency domain · Fourier optics and Frequency domain · See more »

Hartley transform

In mathematics, the Hartley transform (HT) is an integral transform closely related to the Fourier transform (FT), but which transforms real-valued functions to real-valued functions.

Convolution theorem and Hartley transform · Fourier optics and Hartley transform · See more »

Signal processing

Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.

Convolution theorem and Signal processing · Fourier optics and Signal processing · See more »

The list above answers the following questions

What Convolution theorem and Fourier optics have in common
What are the similarities between Convolution theorem and Fourier optics

Convolution theorem and Fourier optics Comparison

Convolution theorem has 34 relations, while Fourier optics has 94. As they have in common 5, the Jaccard index is 3.91% = 5 / (34 + 94).

References

This article shows the relationship between Convolution theorem and Fourier optics. To access each article from which the information was extracted, please visit:

Unionpedia is a concept map or semantic network organized like an encyclopedia – dictionary. It gives a brief definition of each concept and its relationships.

This is a giant online mental map that serves as a basis for concept diagrams. It's free to use and each article or document can be downloaded. It's a tool, resource or reference for study, research, education, learning or teaching, that can be used by teachers, educators, pupils or students; for the academic world: for school, primary, secondary, high school, middle, technical degree, college, university, undergraduate, master's or doctoral degrees; for papers, reports, projects, ideas, documentation, surveys, summaries, or thesis. Here is the definition, explanation, description, or the meaning of each significant on which you need information, and a list of their associated concepts as a glossary. Available in English, Spanish, Portuguese, Japanese, Chinese, French, German, Italian, Polish, Dutch, Russian, Arabic, Hindi, Swedish, Ukrainian, Hungarian, Catalan, Czech, Hebrew, Danish, Finnish, Indonesian, Norwegian, Romanian, Turkish, Vietnamese, Korean, Thai, Greek, Bulgarian, Croatian, Slovak, Lithuanian, Filipino, Latvian, Estonian and Slovenian. More languages soon.

All the information was extracted from Wikipedia, and it's available under the Creative Commons Attribution-ShareAlike License.

Unionpedia is not endorsed by or affiliated with the Wikimedia Foundation.

Google Play, Android and the Google Play logo are trademarks of Google Inc.