Nonlinear generation of long waves and the reversal of eddy momentum fluxes in a two-layer quasi-geostrophic model

Although classical theories of midlatitude momentum fluxes focus on the wave-mean flow interaction, wave-wave interactions may be important for generating long waves. It is shown in this study that this nonlinear generation has implications for eddy momentum fluxes in some regimes. Using a two-layer quasi-geostrophic model of a baroclinic jet on a β-plane, statistically steady states are explored in which the vertically integrated eddy momentum flux is divergent at the center of the jet, rather than convergent as in Earth-like climates. One moves towards this less familiar climate from more Earth-like settings by reducing either β, frictional drag, or the width of the baroclinic zone, or by increasing the upper bound of resolvable wavelengths by lengthening the zonal channel. Even in Earth-like settings, long waves diverge momentum from the jet, but they are too weak to compete with short unstable waves that converge momentum. We argue that long waves are generated by breaking of short unstable waves near their critical latitudes, where long waves converge momentum while diverging momentum at the center of the jet. Quasi-linear models with no wave-wave interaction can qualitatively capture the Earth-like regime but not the regime with momentum flux divergence at the center of the jet, because the nonlinear wave breaking and long wave generation processes are missing. Therefore, a more comprehensive theory of atmospheric eddy momentum fluxes should take into account the nonlinear dynamics of long waves.

A new class of polyphase pseudo-random sequences with a nonlinear generation algorithm for secure radio communication link between unmanned vehicles and dispatch centers of the "smart city"

The article discusses an algorithm for generating a new class of polyphase pseudo-random sequences with a nonlinear generation algorithm for use in secure communication systems with spread spectrum technology. In particular, the proposed sequences are relevant to use for generating signals in a secure command radio link between unmanned vehicles located in different environments, and dispatch centers of the "smart city". An analysis of the existing ensembles and an assessment of their main characteristics are carried out. Namely, the size of the ensemble, which affects the security of the communication system, and the level of maximum emissions of the cross-correlation function. The existing ensembles of polyphase pseudo-random sequences do not simultaneously have satisfactory values of the considered indicators. Therefore, an urgent task is to develop an ensemble that finds a compromise between these two characteristics and has a nonlinear generation algorithm. The essence of the algorithm for the formation of the proposed new class of polyphase pseudo-random sequences is to expand the classical polyphase sequences, for example, Frank, Chu, or Milewski, which have good correlation properties, de Bruijn sequences with a large ensemble and a nonlinear formation algorithm. Comparative analysis of the proposed method for forming a class of polyphase sequences shows the advantage of its use. In particular, an improvement in cross-correlation characteristics and a significant increase in the size of the ensemble of new sequences compared to the original sequences are shown. These properties can be used to increase the structural secrecy of command radio links.