Time encoding and decoding of a signal

A method of recovering a bounded input signal from an output signal of a time encoding machine (TEM) comprising:

• determining an amplitude and bandwidth of an input signal to the TEM;
• setting at least one TEM parameter of the Time Encoding Machine in accordance with bounding constraints based on the determined amplitude and bandwidth of the input signal;
• determining timing of zero crossings indicating state changes of the TEM output signal;
• and
• applying a non-linear inversion operation based at least in part on the at least one TEM parameter to recover the input signal from a subset of zero crossings.

A system for time encoding and time decoding of a signal x(t) comprising:

• a time encoding machine, the time encoding machine having an output voltage swing b, and integrator constant, κ, and a hysteresis value δ, wherein δ<(π/Ω)((b−c)/κ), where Ω represents a bandwidth of the input signal x(t) and c represents a maximum amplitude of the input signal x(t) and where |c|<b, the TEM generating a sequence of transition times:
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• .
• a time decoding machine, the time decoding machine receiving the sequence of transition times and applying at least one non-linear operation to recover the input signal x(t) therefrom.

A time decoding machine (TDM), the time decoding machine recovering a band limited signal from a sequence of transitions generated by a time encoding machine, the TDM comprising:

• a time measurement circuit, the time measurement circuit generating an N-bit quantized representation of time values of zero crossings indicating the sequence of transitions provided at an input terminal of the time measurement circuit;
• a processor coupled to the time measurement circuit and receiving output of the time measurement circuit at a rate at least equal to a Nyquist rate of a signal to be decoded, the processor being programmed to perform the steps:
• generating a set of weighted impulse functions based upon the time values of the zero crossings;
• and
• applying the set of weighted impulse functions to an impulse response filter to recover the input signal.