convolved

Meanings

• noun

  The process of combining two signals, usually a test signal and a response signal, in order to obtain the convolution of the two.

  - "In signal processing, the convolution of a test signal and a response signal produces the system response."
  - "The convolution of a function with itself is called its autocorrelation."

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Antonyms

deconvolve

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Variants

List of all variants of convolved 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.

From the Latin word 'convolvere', meaning 'to roll up' or 'to entangle'. In mathematics and signal processing, the term 'convolution' refers to the process of combining two signals to obtain a new signal that represents the effect of one signal on the other.

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Trivia

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1. The term 'convolution' was first introduced in mathematics by French mathematician Augustin-Louis Cauchy in the 19th century.

2. The convolution theorem states that the Fourier transform of the convolution of two functions is equal to the product of their Fourier transforms.

3. Convolutional neural networks, a type of deep learning algorithm, are inspired by the concept of convolution in signal processing.

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Related Concepts

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1. Correlation: Correlation and convolution are related concepts in signal processing. While correlation measures the similarity between two signals, convolution represents the effect of one signal on another.

2. Filtering: Convolution is a common method used for filtering signals in various applications, such as image processing, audio processing, and communication systems.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

The term 'convolution' has no significant cultural, historical, or symbolic significance in literature, art, music, or other forms of expression.

How to Memorize "convolved"

1. visualize
   

   - Imagine two waves, one representing the test signal and the other representing the response signal. The convolution of these two signals can be visualized as the overlapping and integration of the two waves at each point in time.
   - Visualize the mathematical representation of convolution as the integral of the product of the two signals over time.

2. associate
   

   - Associate the term 'convolution' with the idea of combining two signals to obtain a new signal that represents their interaction.
   - Think of convolution as a way of 'rolling up' or 'entangling' two signals to form a new signal.

3. mnemonics
   

   - Use the mnemonic 'Catchy Convolved Signals Together' to remember the meaning of the term 'convolution'.
   - Remember that convolution is the process of 'combining' or 'overlapping' two signals.

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