Parity Check Pulse Shaping for Low-Complexity ISC Communications
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Solution Overview
Problem
Conventional communication systems are overly power hungry and spectrally inefficient, failing to effectively manage power consumption and spectral usage in wireless and wired communications.
Innovation Solution
A system and method for forward error correction with parity check encoding are implemented to achieve low complexity and high spectral efficiency, utilizing diverse pulse shaping filters for information and parity samples, and incorporating a parity function that optimizes sequence estimation and symbol error rate performance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Use of energy by stationary object
If conventional communication systems are used, then basic communication function is provided, but power consumption is excessive and spectral efficiency is poor
Solution Approach 1:
The transmitted signal is segmented into information symbols and parity samples, where parity samples are inserted at specific intervals (e.g., every 2, 3, or 4 information symbols) to provide error correction capability. This segmentation allows the system to achieve better error performance without requiring excessive retransmissions, thereby improving spectral efficiency while maintaining reasonable power consumption.
Solution Approach 2:
Parity samples are generated and inserted into the symbol stream in advance before transmission. The parity function processes information symbols preliminarily to create redundancy that will be used later for error correction at the receiver, enabling the system to handle channel impairments without increasing power consumption for retransmissions.
2Productivity
If forward error correction with parity check encoding is implemented, then spectral efficiency is improved and error correction is enhanced, but system complexity increases
Solution Approach 1:
The parity function is extracted as a separate, dedicated component that operates independently on the information symbol stream. This modular extraction allows the parity generation and insertion to be handled by specialized hardware or software modules, reducing the complexity burden on the overall communication system while maintaining high spectral efficiency through effective error correction.
Solution Approach 2:
Rather than applying complex error correction to the entire data stream uniformly, the system applies parity check encoding locally at specific positions in the symbol stream. Parity samples are inserted at predetermined intervals, providing targeted error protection where most needed while keeping the overall system complexity manageable through localized processing.
3Measurement precision
If diverse pulse shaping filters are used for information and parity samples, then sequence estimation performance is improved, but computational complexity increases
Solution Approach 1:
Different pulse shaping filters are applied asymmetrically to information symbols and parity samples. The information symbols use one pulse shaping filter while parity samples use a different filter, creating distinct temporal signatures that facilitate better separation and estimation at the receiver. This asymmetric treatment improves sequence estimation performance by making the parity samples more distinguishable from information symbols in the received signal.
Solution Approach 2:
The system applies pulse shaping filtering selectively - information symbols receive full pulse shaping processing while parity samples receive different filtering treatment. This partial differentiation in processing provides sufficient performance improvement for sequence estimation without applying excessive complexity to all signal components uniformly.
Data Source
AI summary
A transmitter inserts parity samples into a stream of information symbols in an inter-symbol correlated (ISC) signal. The inserted parity samples may be utilized to generate estimates of corresponding information symbols when they are received by a receiver. The information symbols may be pulse shaped by a first pulse shaping filter characterized by a first response. The parity samples may be pulsed shaped by a second pulse shaping filter characterized by a second response. The first response and the second response are diverse or uncorrelated. The transmitter may transmit the ISC signal comprising the pulse shaped information symbols and the pulse shaped parity samples. The parity samples may be generated utilizing a non-linear function over a plurality of the information symbols. The non-linear function may be diverse from a partial response signal convolution corresponding to the information symbols and is designed according to a desired SNR value at the receiver.