Spiral Polynomial Division Multiplexing for Spectral Efficiency

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Solution Overview

Problem

Existing multiplexing techniques in wireless communication rely on sinusoidal modulations, which limit spectral efficiency and resistance to channel impairments like fading, as they combine sub-channels into a single signal using traditional methods such as CDM, OFDM, and TDM.

Innovation Solution

The method employs spiral polynomial division multiplexing (SPDM) and instantaneous spectral analysis (ISA) to generate and transmit signals based on orthogonal polynomial functions, converting polynomials into sums of sinusoids with continuously varying amplitudes, allowing for efficient bandwidth usage and robust synchronization.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Adaptability or versatility

If traditional sinusoidal modulation techniques (QAM, PSK) are used for multiplexing, then compatibility with existing systems is maintained, but spectral efficiency is limited

Engineering Contradiction:

Improvespectral efficiencyVSAvoidmodulation complexity

Core Design Contradiction:

Adaptability or versatilityVSDevice complexity

Solution Approach 1:

The patent changes the fundamental parameter of signal representation from sinusoidal functions to polynomial functions. By using polynomial-based modulation with orthogonal basis functions, the system achieves higher spectral efficiency while maintaining manageable complexity through systematic signal generation and detection methods.

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent substitutes the traditional sinusoidal modulation mechanism with a polynomial-based modulation mechanism. This replacement allows for more flexible signal shaping and higher spectral efficiency by utilizing polynomial orthogonality properties instead of sinusoidal orthogonality.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Productivity

If polynomial-based modulation is used to improve spectral efficiency, then bandwidth usage is optimized, but synchronization precision becomes more challenging

Engineering Contradiction:

Improvespectral efficiencyVSAvoidsynchronization precision

Core Design Contradiction:

ProductivityVSMeasurement precision

Solution Approach 1:

The patent incorporates preliminary synchronization mechanisms by designing polynomial signals with known structures and properties. The receiver uses these predetermined characteristics to achieve accurate synchronization before main signal processing, ensuring precise timing and frequency alignment despite the complexity of polynomial modulation.

Inventive Principle:

Principle #10Preliminary action

3Reliability

If spiral polynomial division multiplexing is implemented, then resistance to channel impairments is improved, but device complexity increases

Engineering Contradiction:

Improveresistance to channel impairmentsVSAvoidmultiplexing complexity

Core Design Contradiction:

ReliabilityVSDevice complexity

Solution Approach 1:

The patent applies segmentation by dividing the transmitted signal into multiple polynomial sub-channels that are orthogonal to each other. This segmentation allows the receiver to process and detect signals independently on each sub-channel, improving resistance to channel impairments while managing complexity through structured decomposition.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

The patent creates a composite modulation scheme by combining polynomial basis functions with spiral modulation techniques. This composite approach leverages the advantages of both methods to achieve enhanced reliability and resistance to fading while maintaining a systematic structure for implementation.

Inventive Principle:

Principle #40Composite materials

4Quantity of substance

If instantaneous spectral analysis is used for signal conversion, then bandwidth requirements are reduced, but computational complexity increases

Engineering Contradiction:

Improvebandwidth requirementsVSAvoidcomputational complexity

Core Design Contradiction:

Quantity of substanceVSDevice complexity

Solution Approach 1:

The patent extracts the essential spectral information from polynomial signals by converting them to sinusoidal representations using instantaneous spectral analysis. This extraction process captures only the necessary bandwidth-critical components, reducing overall bandwidth requirements while maintaining signal integrity through selective information preservation.

Inventive Principle:

Principle #2Taking out (Extraction)

Data Source

PatentUS11824694B2Systems, devices, and methods employing instantaneous spectral analysis in the transmission of signals

Publication Date: 2023.11.21 ASTRAPI CORP

AI summary

Systems, devices, methods, and computer readable medium for transmitting data using polynomials and instantaneous spectral analysis. In and/or prior to the transmitter, a signal may be formed by fitting the data with a polynomial, which is projected onto Cairns series functions. The Cairns series functions are converted into Cairns exponential functions, which are combined based on frequency information to produce the set of sinusoidals with continuously time-varying amplitude, each of the sinusoidals having a different frequency.