Pseudo-inversion of integration-based time encoding using POCS

While event-based sampling allows the use of sampling circuits of higher precision and lower power consumption, it faces the difficult problem of signal reconstruction from generalized nonuniform samples. An ideal solution to this problem is to perform the pseudo-inversion of the linear operator that maps the input signals into the sequences of samples. We show in this article that this is possible with all time-encoding schemes based on input integration, using the method of projection onto convex sets (POCS). This includes multi-channel time encoding.