1. A computerized method comprising: obtaining, into a computer, a plurality of data structures each having an associated decomposition component based upon a quasi-periodic waveform and an associated fractional-phase value active over a range of abscissa values associated with the quasi-periodic waveform; using the computer, forming a plurality of arranged data structures by: organizing at least some of the plurality of data structures into a first arranged data structure, wherein the at least some of plurality of data structures are arranged in the first arranged data structure according to their associated component, and the associated fractional-phase values associated with the at least some of the plurality of data structures within the first arranged data structure are co-active over at least one abscissa value of the corresponding range of abscissa values; and organizing at least some of the plurality of data structures into a second arranged data structure, wherein the at least some of plurality of data structures are arranged in the second arranged data structure according to their associated component, and the associated fractional-phase values associated with the at least some of the plurality of data structures within the second arranged data structure are co-active over a corresponding range of abscissa values for the quasi-periodic waveform; using the computer, generating a plurality of states, each state including at least one of the plurality of arranged data structures, the plurality of states having a sequence; and storing the states and the sequence in a storage device accessible by the computer.