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In signal processing, the adjoint filter mask $h^*$of a filter mask $h$is reversed in time and the elements are complex conjugated.:$\left(h^*\right)_k = overline\left\{h_\left\{-k$

Its name is derived from the fact, that the convolution with the adjoint filteris the adjoint operator of the original filterwith respect to the Hilbert space $ell_2$ of the sequenceswith respect to the Euclidean norm.:$langle h*x, y angle = langle x, h^* * y angle$

The autocorrelation of a signal $x$can be written as $x^* * x$.

Properties

* $\left\{h^*\right\}^* = h$
* $\left(h*g\right)^* = h^* * g^*$
* $\left(hleftarrow k\right)^* = h^* ightarrow k$

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