Signal Processing

Overview This page will discuss a simple algorithm to unwrap a noisy discrete real waveform transformed under a modulo operation. The algorithm can be implemented as a real-time algorithm on a waveform stream. Setup Let be a discrete real waveform sampled from a continuous waveform and for a fixed real constant , consider its modulo-M…

Overview This page will discuss an efficient arbitrary precision fractional time synchronization technique. The algorithm computes the fractional offset between two similar discrete real waveforms via post-processing. Setup Suppose that we have two discrete real waveforms and , which represent two separate noisy samplings of the same source waveform. Assume that there exists a fractional…