Hidden Markov models for stochastic sequential analysis and stochastic carrier-wave signal processing

Hidden Markov model methods for stochastic sequential analysis are described and a synergistic union is presented to arrive at a new form of carrier-based communication, where the carrier is not periodic but is stochastic, typically with stationary statistics. HMM with binned duration, and meta-HMM algorithmic methods, are shown to enable practical stochastic carrier wave encoding/decoding, where stochastic carrier wave signal processing is encountered in a number of settings in science and nanotechnology. Proof-ofConcept applications in nanopore transduction detector signal analysis (for the nanopore transduction detector ‘Nanoscope’) are described, as well as application in gene structure identification.