A method waveform processing technique utilizing signal coherence of the array data for processing signals having poor signal-to-noise ratio. Raw waveform data is first transformed into f-k (frequency-wavenumber) domain. A coherence function is then calculated and convolved with the data in the f-k domain, which effectively suppresses non-coherent signals in the data. For the remaining coherent data, the unwanted part is muted and the wanted part is retained and inverse-transformed to yield the coherence-filtered array waveform data. After this processing, small signals that are hidden in the original data are extracted with much enhanced coherence. Subsequent processing of the data yields reliable information about formation acoustic property.