In digital signal processing, a quadrature mirror filter is a filter whose magnitude response is the mirror image around π / 2 {\displaystyle \pi /2} of that of another filter. Together these filters, first introduced by Croisier et al., are known as the Quadrature Mirror Filter pair.
A filter H 1 ( z ) {\displaystyle H_{1}(z)} will be the quadrature mirror filter of H 0 ( z ) {\displaystyle H_{0}(z)} if H 1 ( z ) = H 0 ( − z ) {\displaystyle H_{1}(z)=H_{0}(-z)}
The filter responses are symmetric about Ω = π / 2 {\displaystyle \Omega =\pi /2}
| H 1 ( e j Ω ) | = | H 0 ( e j ( π − Ω ) ) | {\displaystyle |H_{1}(e^{j\Omega })|=|H_{0} referenceEver curious about what that abbreviation stands for? fullforms has got them all listed out for you to explore. Simply,Choose a subject/topic and get started on a self-paced learning journey in a world of fullforms.
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