On stability of distance measures for event sequences induced by level-crossing sampling
|B. Moser, T. Natschläger. On stability of distance measures for event sequences induced by level-crossing sampling. IEEE Transactions on Signal Processing, volume 62, number 8, pages 1987-1999 DOI:10.1109/TSP.2014.2305642, 4, 2014.|
|Journal||IEEE Transactions on Signal Processing|
While Shannon’s paradigm of sampling is based on equidistant points in time the on-delta-send sampling principle relies on discretizing the signal due to equidistant points in the range. On-delta-send sampling is encountered in asynchronous event-based data acquisition of wireless sensor networks in order to reduce the amount of data transfer, in event-based imaging in order to realize high-dynamic range image acquisition or in biology in terms of neuronal spike trains. The paper addresses the similarity between delta event sequences which result from on-delta-send sampling. It is shown that on-delta-send sampling induces instability effects when using dissimilarity measures which are state-of-the-art in this context. As an alternative metric Hermann Weyl’s discrepancy norm is introduced by which such instability effects can be avoided.