Nonequidistant discrete frequency modulated signals of complex form

Complex discrete frequency modulated signals with an equidistant spacing of L elements in a frequency-time matrix that are nonrepeating in the sequence are well known. These elements closely adjoin the time axis and are mutually orthogonal with respect to frequency and time; the volume of the full-code ensemble is equal to L factorial. Attention is given here to a broader class of discrete frequency modulated signals, those where in the period of the sequence the sizes of the steps of discreteness with respect to frequency and time are, arbitrarily, either identical or different and where the condition of strict orthogonality with respect to frequency is not required. It is shown that signals with nonequidistant spacing of the elements in the frequency-time matrix, especially signals formed by the whole-number division of the fundamental frequency, possess an ensemble volume that is larger than in the case of equidistant spacing. It is also found that these signals are limited by the acceptable quality of their structural resolution.