Automorphic Signal Transformations for Secure Wireless Communications
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Solution Overview
Problem
Wireless communication systems using linear transformations are vulnerable to deciphering by eavesdroppers, as they can determine linear transformations based on small 'plain/cipher' sets, leading to security breaches and increased Bit Error Rate (BER) due to noise amplification.
Innovation Solution
Implementing non-linear Unitary Braid Division Multiplexing (UBDM) transformations that apply automorphic and permutation operations to data blocks, using random or pseudo-random values to generate invertible, noise-preserving mappings, which are applied in layers to enhance security without amplifying noise.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If linear transformations are used in wireless communication systems, then the system is easier to implement and decode, but the system becomes vulnerable to deciphering by eavesdroppers and experiences noise amplification
Solution Approach 1:
The patent transforms the linear transformation parameter into a non-linear automorphic transformation. This changes the fundamental mathematical property of the transformation used in encoding, making it resistant to traditional eavesdropping methods while maintaining implementability through structured automorphic operations.
Solution Approach 2:
The patent combines multiple transformation operations (automorphic transformations, permutations, and scaling operations) into a composite encoding scheme. This layered approach integrates security functions with communication functions, creating a system that is both secure and implementable.
2Device complexity
If linear transformations are used in wireless communication systems, then the encoding process is simpler, but the Bit Error Rate increases due to noise amplification
Solution Approach 1:
The patent introduces scaling parameters (α and β) that control the transformation characteristics. By carefully selecting these parameters, the system maintains signal power while applying non-linear transformations, thereby avoiding noise amplification that would increase bit error rate.
Solution Approach 2:
The patent replaces the traditional linear algebraic transformation mechanism with an automorphic transformation mechanism. This substitution fundamentally changes how encoding is performed, eliminating the noise amplification issue inherent in linear transformations while keeping the encoding process structured and manageable.
3Reliability
If non-linear UBDM transformations are applied to secure wireless communications, then security is enhanced and noise amplification is reduced, but the transformation complexity increases
Solution Approach 1:
The patent divides the data block into multiple segments and applies different automorphic transformations to different segments. This segmentation reduces the overall complexity by breaking down the large non-linear transformation into smaller, more manageable operations while maintaining security through diversity.
Solution Approach 2:
The patent employs dynamic transformation parameters that can adapt based on channel conditions or security requirements. This allows the system to optimize the balance between security and complexity by adjusting the transformation intensity or type according to operational context.
Data Source
AI summary
A computing device encrypts data with a UBDM transformation by obtaining a sequence of data points and a cryptographic key, and grouping the sequence of data points into at least one data block of a predetermined length. The computing device transforms the data block by applying layers of transformation to generate at least one encrypted data block. Each layer includes a key application transformation based on the cryptographic key, an automorphism, and a permutation. The computing device provides the encrypted data block to a transmitter for transmission.