Dictionary:Semblance

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(sem’ bl∂nz) A measure of multichannel coherence. If $ f_{ij} $ is the$ j^{th} $ sample of the $ i^{th} $ trace, then the semblance coefficient $ S_{c} $ is

$ S_{c}(k)={\frac {\sum _{j=k-N/2}^{k+N/2}(\sum _{i=1}^{M}f_{ij})^{2}}{\sum _{j=k-N/2}^{k+N/2}\sum _{i=1}^{M}f_{ij}^{2}}} $,

where $ M $ channels are summed; the coefficient is evaluated for a window of width $ N $ centered at $ k $. It is basically the energy of the stack normalized by the mean energy of the components of the stack. This is equivalent to the zero-lag value of the unnormalized autocorrelation of the sum trace divided by the mean of the zero-lag values of the autocorrelations of the component traces. Perfect agreement yields a value of unity.

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