Abstract: A method and apparatus for cancelling acoustic echoes that enhances the hands free operation of audio/video conferencing equipment, wireless and cellular telephones, internet and intranet telephones, etc. is disclosed. The method and apparatus use a constrained and orthogonalized, frequency domain, block, least mean square adaptive filter to generate an estimate of an acoustic echo signal. The estimate of the acoustic echo signal is subtracted from a near end microphone signal to provide an echo reduced communication signal. The echo reduced communication signal is then either transmitted or processed further. The further processing can include non-linear processing using an adaptive speech filter. The method and apparatus include a novel method for updating the coefficients of an adaptive filter.