convolution هماگیش hamâgiš Fr.: convolution A mathematical combination of two functions which involves multiplying
the value of one function at a given point with the value of another
function, the weighting function, for a displacement from that point
and then integrating over all such displacements. The process is
repeated for every point of the function. Convolution expresses how the shape of
a function is altered by the other. In mathematical terms, the convolution of two functions
f(x) and g(x) is defined by:
f*g = ∫f(u)g(x - u) du, integral from -∞ to +∞.
Astro.: Convolution describes how an instrument, through its transfer function,
affects an input signal. → deconvolution.
See also: Verbal noun of → convolve. |
