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SYNTHESIS OF GOLD'S CODE ENSEMBLES FOR USE IN CELLULAR NETWORKS, NAVIGATION AND PULSED RADAR

An algorithm for the synthesis of ensembles of pseudorandom sequences of binary Gold codes is considered using the procedure for the formation of the so-called "paired" m-sequence, which is generated by decimation (thinning) from the corresponding primitive polynomial of degree n, where 5 ≤ n ≤ 10. As a result, an optimal (preferred) pair of m-sequences is formed, which gives rise to one ensemble of the above-mentioned codes.

Exploring chaotic dynamics with absolute-embedded sinusoidal nonlinearity in a sinusoidal-enhanced Van der Pol oscillator

The present study aims to analyze the chaotic behavior of a simple electrical circuit with a nonlinear resistor and an absolute value in its sinusoidal nonlinearity function.  This type of circuit is considered fundamental, because it contains both nonlinear capacitance and resistance.  This study investigates into various aspects of the circuit's behavior, with a particular focus on its chaotic properties such as bifurcation, periodicity, resonance, and Lyapunov exponent analysis.  It is essential to highlight that, in addition to its chaotic behavior, the system also