A Novel Pseudorandom Noise and Band Jammer Generator Using a Composite Sinusoidal Function

Communication applications are increasingly relying on spread-spectrum techniques requiring the use of different types of pseudorandom noise generators (PRNGs). Such generators typically produce periodic deterministic signals, with key attributes of PRNGs being: signals produced have long periods, a large number of weakly correlated signals is produced with compatible spectral properties, most of the signal power of generated signals is contained in the desired frequency band, and arbitrary band selectivity of produced signals. Random generators can also be used for band jamming, with key attributes for band jamming being: most of the signal power is contained in the desired frequency band, arbitrary band selectivity, and a considerably flat power spectral density within the selected band. In this paper, a novel PRNG approach is proposed that can be used in several applications, including spread-spectrum techniques, as well as in band jamming. The signals produced by the proposed generator are based on a linear combination of continuous-time composite sinusoidal functions. Numerical examples are included in order to illustrate the performance of the proposed generator.