A Realizable Modified Tent Map for True Random Number Generation

TL;DR

This paper introduces a modified tent map that maintains chaos properties for true random number generation while ensuring output confinement under noise, improving practical robustness in chaos-based systems.

Contribution

A new modified tent map is proposed that solves the confinement issue without losing the chaotic behavior, suitable for real-world applications.

Findings

Simulation results validate the modified tent map's effectiveness.

The proposed map maintains chaos under noise and variations.

Circuit implementation demonstrates practical feasibility.

Abstract

Tent map is a discrete-time piecewise-affine I/O characteristic curve, which is used for chaos-based applications, such as true random number generation. However, tent map suffers from the inability to maintain the output state confined to the input range under noise and process variations. In this paper, we propose a modified tent map, which is interchangeable with the tent map for practical applications. In the proposed modified tent map, the confinement problem is solved while maintaining the functionality of the tent map. We also demonstrate simulation results for the circuit implementation of the presented modified tent map for true random number generation.