Generalized nonlinear continuous phase modulation

Convolutional coded generalized nonlinear CPM

“…GNCPM can achieve a larger minimum Euclidean distance than the corresponding ordinary nonlinear CPFSK [5]. In GNCPM, information is transmitted with continuity of phase modulation as in CPM.…”

“…1. We search for all possible combinations of state transitions which can increase the minimum Euclidean distances d min 2 [5]. The value of d min 2 is calculated by using where a and b denote different symbols and f(t, a) and f(t, b) are phase variations which split apart at time t = 0 and remerge at time t = Kt for symbols a and b.…”

“…In NCPFSK, one modulation index is used to transmit one input symbol. Generalized nonlinear CPM (GNCPM), which achieves a larger distance than the corresponding ordinary NCPFSK signals, has been also introduced [5]. This modulation scheme divides every symbol interval into n subintervals, and employs a different modulation index during each subinterval.…”

Narrowband nonlinear continuous phase frequency shift keying

“…In [2] and [3], nonlinear CPFSK signals have been extended to "nonlinear continuous phase modulation" and "generalized nonlinear CPM", respectively. For all these signals, the performance/ bandwidth tradeoff has been improved over linear CPM signals [l-31.…”