Bandwidth-Limited Channel Data Transmission via Kernel Deconvolution
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Solution Overview
Problem
Current methods for sending information through bandwidth-limited channels are constrained by the maximum error-free rate of C=W*log2(SN+1), and existing modulation techniques have not surpassed this limit, while previous applications of superresolution methods have not effectively increased transmission capacity or dealt with intersymbol interference.
Innovation Solution
The method involves sending overlapping symbols or pulses through a bandwidth-limited channel and using superresolution techniques, such as deconvolution with a kernel, to separate and distinguish them, thereby increasing data transmission rates beyond traditional limits.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If overlapping symbols are sent through a bandwidth-limited channel, then data transmission rate increases, but intersymbol interference occurs making symbols inseparable
Solution Approach 1:
The transmitter performs preliminary convolution of the data signal with a kernel pulse before transmission, intentionally shaping the signal to create overlapping symbols that will be separable at the receiver through deconvolution. This preliminary action enables super-Nyquist transmission by pre-conditioning the signal for later separation.
Solution Approach 2:
A kernel pulse serves as an intermediary mathematical function that mediates between the transmitted signal and the received signal. By convolving the data with this known kernel and then deconvolving the received signal with the same kernel, the system can separate overlapping symbols even when they exceed the Nyquist rate, effectively using the kernel as a mathematical mediator to resolve the interference.
2Productivity
If traditional modulation methods are used, then system simplicity is maintained, but channel capacity limit C=W*log2(SN+1) cannot be exceeded
Solution Approach 1:
The patent replaces traditional mechanical/electrical modulation methods with a mathematical signal processing approach. Instead of using complex modulation schemes to increase capacity, the system uses convolution and deconvolution operations - mathematical transformations that allow super-Nyquist transmission without requiring more complex hardware modulation circuits.
Solution Approach 2:
The invention changes the fundamental parameter of symbol spacing from the traditional Nyquist rate constraint to a super-Nyquist rate by modifying the signal representation through convolution with a kernel. This parameter change in the time-domain spacing, combined with the mathematical transformation, enables exceeding the traditional channel capacity limit.
3Speed
If symbols are sent at rates greater than Nyquist rate, then transmission speed increases, but intersymbol interference becomes unstable and unreliable
Solution Approach 1:
The system uses the known kernel pulse as a reference feedback mechanism. By deconvolving the received signal with the same kernel that was used for convolution at transmission, the receiver can稳定性和 reliably separate symbols even at super-Nyquist rates. The known kernel provides a stable reference that makes the otherwise unstable intersymbol interference separable and reliable.
Data Source
AI summary
Information is sent through a bandwidth-constrained communications channel using overlapping signals separated using deconvolution to distinguish between the overlapping symbols. Input data representing the information are convolved with a kernel and transmitted through a communication system, then deconvolved with respect to the kernel for outputting the information resulting from the deconvolution.