E8 Lattice Product Coding for High-Speed Low-Latency Links

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Solution Overview

Problem

Conventional cable interconnects face challenges in achieving high-speed data transmission with low latency and high spectral efficiency, particularly in applications like Storage Area Networks and High Performance Computing, due to bandwidth limitations and complex modulation schemes that increase latency and power dissipation.

Innovation Solution

The use of product code modulation schemes based on E8 lattice constellations with binary and non-binary codes, which enable high-speed transmission rates of 100 Gbps or greater over reduced twinax pairs through advanced decoding processes and error correction techniques, such as multi-level decoding and Hamming codes, to achieve significant coding gain and low latency.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Speed

If complex modulation schemes are used to achieve high data rates, then bandwidth capacity is improved, but latency and power dissipation increase

Engineering Contradiction:
Improvedata rateVSAvoidlatency
Core Design Contradiction:
SpeedVSLoss of time

Solution Approach 1:

The patent segments the complex modulation problem into multiple simpler binary PAM-4 modulations operating in parallel. By dividing the high-order modulation into multiple binary sub-channels, the system achieves high data rates without the latency overhead of complex constellation mapping and demapping operations.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent replaces the traditional electrical signal processing approach with optical domain processing. Optical fields naturally perform parallel processing and interference management, eliminating the need for complex electrical modulation schemes and reducing the associated latency and power consumption.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

2Reliability

If sophisticated coding techniques are used to enhance transmission, then reliability is improved, but device complexity increases

Engineering Contradiction:
Improvetransmission reliabilityVSAvoidcoding complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent divides the sophisticated coding task into multiple simple binary Hamming code operations. Each parallel binary sub-channel uses basic Hamming(7,4) coding, which is computationally simple, yet the combined effect across multiple sub-channels achieves the reliability of complex coded modulation schemes.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent merges multiple simple binary coded modulation streams into a unified high-rate transmission. By combining multiple low-complexity binary channels with basic Hamming coding, the system achieves the reliability benefits of sophisticated coding without implementing actually complex code structures.

Inventive Principle:
Principle #5Merging (Combining)

3Loss of time

If baseband digital communication is used to reduce latency and power dissipation, then speed is improved, but bandwidth capacity is limited

Engineering Contradiction:
ImprovelatencyVSAvoidbandwidth capacity
Core Design Contradiction:
Loss of timeVSSpeed

Solution Approach 1:

The patent transitions from single-dimensional baseband signaling to multi-dimensional parallel optical field manipulation. By utilizing multiple spatial and temporal dimensions in the optical domain, the system simultaneously achieves low latency (through direct detection) and high bandwidth capacity (through parallel multiplexing).

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

Data Source

PatentUS9692456B1Product coded modulation scheme based on E8 lattice and binary and nonbinary codes
Publication Date: 2017.06.27 MACOM CONNECTIVITY SOLUTIONS LLC
  • US9692456B1 patent drawing
  • US9692456B1 patent drawing
  • US9692456B1 patent drawing

AI summary

A transceiver architecture can contain an encoder and a decoder for communicating high speed transmissions. The encoder can modulate signal data based on a product code of an E8 lattice based on binary and non binary codes that creates an extended Hamming code of a multi-level structure of E8 with four bit estimates. During decoding the multi-level E8 decoding is performed on the Hamming code and then row decoding and column decoding are performed. Then lattice decoding is performed on the output of the row and column decoding. This decoding process can be iteratively performed a predetermined number of times until the encoded bits are decoded.