An asynchronous pulse processing (APP) apparatus, APP system and a method of signal reverberation employ asynchronous pulse processing to provide signal reverberation. The APP apparatus includes a gain block configured to scale an input signal by a first scale value and a summation block configured to produce a composite signal. The composite signal represents the scaled input signal minus an input summation signal multiplied by a reverberation signal, minus the reverberation signal scaled by a second scale value, and plus a function-modified feedback signal. The APP apparatus further includes an integrator and a time encoder configured to produce the reverberation signal from the composite signal. The APP system includes a plurality of APP apparatuses as APP channels. The method of signal reverberation includes generating a composite signal from a scaled input signal, and integrating and time encoding the composite signal to produce a reverberation signal.