convolve

Meanings

• Verb

  To combine or mix two signals, typically a function and its derivative, to obtain a third signal, which may represent something meaningful.

• Verb

  In mathematics, particularly signal processing, the process of multiplying a function with the result of shifting and reversing another function and then summing the products over all possible shifts.

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Antonyms

deconvolve

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Rhymes

Words rhyming with convolve
resolve , disclose , enclose , impose

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Variants

List of all variants of convolve that leads to same result
convolve , convolved , convolves , convolving

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'convolve' comes from the Latin word 'convolutus', which means 'rolled up' or 'twisted'. In mathematics, it refers to the process of rolling or twisting one function with another to obtain a new function.

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Trivia

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1. The term 'convolve' was first introduced in the field of mathematics by French mathematician Jean-Baptiste Joseph Fourier in the late 18th century.

2. The convolution operation is a fundamental tool in digital signal processing and image processing, and it has applications in various fields, including speech recognition, audio processing, and medical imaging.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Digital Signal Processing: The branch of engineering that deals with the analysis, design, and implementation of systems that process signals, which are functions of time, digitally.

2. Fourier Transform: A mathematical method used to transform a function of time, a signal, into a function of frequency, which is called the frequency domain representation of the signal.

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Culture

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The term 'convolve' has been used extensively in mathematics and signal processing, particularly in the field of digital signal processing and image processing. It has also been used in physics, particularly in the study of waves.

How to Memorize "convolve"

1. visualize
   

   - Imagine two functions, one being rolled or twisted and the other being used to roll it up. The resulting function is the convolved function.

2. associate
   

   - Associate the term 'convolve' with the process of twisting or rolling one function with another to obtain a new function.

3. mnemonics
   

   - Use the mnemonic 'C-O-N-V-O-L-V-E': 'C' for Combine, 'O' for Overlap, 'N' for Normalize, 'V' for Vertically, 'O' for Overlap, 'L' for Linearly, 'V' for Volume, and 'E' for Envelope.

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