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The definition of coherence is something logical or consistent and something that makes sense as a whole. An example of coherence is an argument that has no inconsistencies. coherence. coherence. The quality or state of cohering, especially a logical, orderly, and aesthetically consistent relationship of parts.
Formally the coherence bandwidth is the bandwidth for which the auto co-variance of the signal amplitudes at two extreme frequencies reduces from 1 to 0.5. Bc = 1/(2 p Trms) where Trms is the rms delay spread. This results follows from the derivation of correlation of the fading at two different frequencies.