Non-periodic Spiral Waveform Generation for Signal Differentiation
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Solution Overview
Problem
Current telecommunication signaling techniques, such as QAM, face limitations in differentiating signals over time and frequency due to their periodic nature, leading to reduced data transmission rates and increased noise susceptibility.
Innovation Solution
The use of non-periodic functions, specifically the general spiral formula, which allows for time reversal and rotational reversal, enabling the generation of highly diverse waveforms that increase data transmission rates and noise resistance by varying amplitude, frequency, and rotation direction.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If periodic functions (QAM) are used for signal transmission, then the signaling technique is simple and well-established, but the ability to differentiate signals over time and frequency is limited, reducing data transmission rates and increasing noise susceptibility
Solution Approach 1:
The patent applies parameter changes by transitioning from periodic to non-periodic functions, specifically using the general spiral formula with variable parameters (m, ω0, κ0, κ1, t0) to generate waveforms with different growth rates, frequencies, and time shifts. This allows signals to be differentiated over time and frequency domains, increasing data transmission capacity and noise resistance
Solution Approach 2:
The invention implements dynamics by using non-periodic spiral functions where amplitude, frequency, and phase parameters vary continuously over time rather than repeating periodically. The time reversal capability (positive and negative time directions) and rotational reversal (clockwise and counter-clockwise) create dynamically distinct signal patterns that improve signal differentiation and reduce noise susceptibility
2Productivity
If non-periodic functions are used to generate diverse waveforms, then data transmission rates and noise resistance improve, but the complexity of modulation and demodulation increases
Solution Approach 1:
The patent manages complexity by systematically varying parameters in the general spiral formula (m for growth rate, ω0 for frequency, κ0 and κ1 for amplitude scaling, t0 for time shift). These parameter changes create diverse waveforms through a unified mathematical framework, allowing complex signal differentiation without proportionally increasing system complexity
Solution Approach 2:
The invention utilizes periodic action in reverse by implementing time reversal symmetry - signals can be transmitted in positive time direction or negative time direction, and rotational reversal - signals can rotate clockwise or counter-clockwise. This creates distinct signal patterns that double the number of possible signals while maintaining a relatively simple modulation framework based on the general spiral formula
Data Source
AI summary
Systems, methods and devices for communicating comprise one or more of a computer-readable media, a computer, a satellite communication device and a mobile device, wherein the at least one of a computer-readable media, a computer, a satellite communication device and a mobile device to perform at least one of supplying data as input communication symbols to an encoder, which converts the input communication symbols into transmittable waveforms having a head function and a tail function, which are different. A transmitter transmits transmittable waveforms over a communication channel, which is received by a receiver, then demodulated and output communication symbols carrying the data to at least one of a user, a secondary computer-readable media, a secondary computer, a secondary satellite communication device and a secondary mobile device.