Man, I've been spreading disinformation for years.
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there appears to be no software for this, its all hardware, the signal format flips as it travels through the anatomy.
Owls use asymmetric skull structure which helps them in spatial perception of sound.
neurosynaptically, there is no phase, there is frequency shift corresponding to presynaptic intensity, and there is spatio-temporal integration of these signals. temporal integration is where "phase" matters
its all a mix of "digital" all or nothing "gates" and analog frequency shift propagation of the "gate" output.
its all made nebulous by the adaptive, and hysteretic nature of the elements in neural "circuitry"