Orthogonal Pulse Shape Multiplexing for Bandwidth Efficiency
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Solution Overview
Problem
Current communication systems face inefficiencies in spectral usage due to compromised signal-to-noise ratios and increased complexity when employing faster-than-Nyquist signaling, which sacrifices orthogonality and introduces inter-symbol interference.
Innovation Solution
The implementation of orthogonal pulse shape multiplexing (OPSM) using Hermite functions to design orthogonal pulses that are sampled and transformed, allowing for efficient data transmission by concentrating information in both time and frequency domains, thereby improving bandwidth efficiency and reducing computational complexity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If faster-than-Nyquist signaling is employed to increase data transmission rate, then productivity is improved, but orthogonality is sacrificed causing inter-symbol interference and worsened signal-to-noise ratio
Solution Approach 1:
The patent changes the temporal parameter of pulse transmission by using compressed pulse shapes that are narrower in time domain, enabling faster-than-Nyquist signaling while maintaining orthogonality through careful design of pulse duration and spacing parameters
2Productivity
If faster-than-Nyquist signaling is employed to increase data transmission rate, then productivity is improved, but device complexity increases due to added complexity in transmitter and receiver
Solution Approach 1:
The patent uses parameter changes by employing specific pulse shaping functions with optimized time-bandwidth products, allowing faster transmission rates while keeping the system structure relatively simple through mathematical pulse design rather than complex hardware modifications
3Productivity
If orthogonal FDM is used to improve bandwidth efficiency, then productivity is improved, but the time-bandwidth product is larger compared to OPSM
Solution Approach 1:
The patent changes the pulse shape parameters to achieve a more compact time-frequency representation, reducing the time-bandwidth product compared to traditional orthogonal FDM while maintaining high bandwidth efficiency through optimized pulse duration and spectral concentration
Data Source
AI summary
Methods and systems are provided for transmitting data using an orthogonal pules shape multiplexing scheme. A transmitter can receive a vector comprising a plurality of symbols. A plurality of continuous pulses can be designed, with each of the continuous pulses corresponds to one of the plurality of symbols in the received vector. Any two pulses selected from the plurality of continuous pulses can be orthogonal. The plurality of continuous pulses can be sampled to produce a corresponding plurality of discrete pulses. The received vector can be transformed based on a transform matrix constructed using on the plurality of discrete pulses. The transformed vector can be transmitted to a receiver.