Blind deconvolution of echosounder envelopes

Ocean bottom classification performed using an an installed technology base requires compensation for the existing technology´s constraints, including the fact that the digitized signal is the envelope of the convolution of the bottom´s impulse response and the source ping. We present a method by which the impulse response coefficients may be estimated given the source signal and the envelope of the received signal. This is accomplished by modelling the Hilbert transform definition of an envelope as a finite-length second-order Volterra kernel, and then performing a constrained optimization on the non-linear filter coefficients