Abstract: A system for identifying at least one phase transition in a phase-shift keying signal comprising a plurality of data samples corresponding to phase values. The system comprises a memory operable to store computing device executable instructions; and a computing device. The computing device is operable to generate a first falling edge region function for each data sample; generate a first rising edge function for each data sample; generate a first level function for each data sample; and generate a second falling edge function for each data sample. The second falling edge function equals the first falling edge function if the first falling edge function is greater than the first rising edge function and the first level function, and the second falling edge function equals zero.

Abstract: A system for identifying phase transitions in phase-shift keying signals and frequency transitions in frequency-shift keying signals broadly comprises a memory and a computing element capable of: selecting a portion of the signal to analyze, wherein the signal comprises a plurality of data samples; applying a transform to the signal to obtain a frequency spectrum; determining a maximum frequency spectrum corresponding to a carrier frequency; determining a starting approximation value of a slope of the phase transition; calculating a bounded limit of slopes within which to search for the phase transition; selecting a plurality of lines; calculating a sum for the data samples associated with each of the lines; and based on the sum for the data samples, identifying a line that corresponds to a location of the phase transition.

Abstract: A system for identifying phase transitions in phase-shift keying signals and frequency transitions in frequency-shift keying signals broadly comprises a memory and a computing element capable of: selecting a portion of the signal to analyze, wherein the signal comprises a plurality of data samples; applying a transform to the signal to obtain a frequency spectrum; determining a maximum frequency spectrum corresponding to a carrier frequency; determining a starting approximation value of a slope of the phase transition; calculating a bounded limit of slopes within which to search for the phase transition; selecting a plurality of lines, calculating a sum for the data samples associated with each of the lines; and based on the sum for the data samples, identifying a line that corresponds to a location of the phase transition.

Abstract: The present invention is a method and computer program for identifying phase transitions in phase-shift keying signals and frequency transitions in frequency-shift keying signals. The method of the present invention is implemented via the computer program.