Dictionary:Rayleigh wavelet

{{#category_index:R|Rayleigh wavelet}}

$f(t)=\left({\frac {1}{\pi }}\right)\left({\frac {\varepsilon }{t^{2}+\varepsilon ^{2}}}\right)$,

where $\varepsilon$ is an arbitrary parameter that controls the width and height. This wavelet possesses a simple exact expression for its Hilbert transform .

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