noun
convolution
An operation combining two functions by measuring their overlap as one shifts across the other.
Convolution combines an input signal with a filter's response function.
Etymology
Latin con- and volvere express rolling together. The mathematical term adopts that combining image for an operation that gathers contributions as one function shifts relative to another.
More examples
- Discrete convolution combines two sequences using sums of products.
- The convolution of two probability densities describes the sum of independent random variables.
- To compute the convolution, she reverses one function and slides it across the other.
Forms
convolution · convolutions
convolve verb — Combine two functions by computing their convolution.
Similar words
- cross-correlation
- Compares shifted functions without the reversal used in convolution.