Lattice Signal Modulation With Polar Coding for Arbitrary Alphabets
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Solution Overview
Problem
Existing communication technologies fail to effectively combine lattice-based signal modulation with forward error correction (FEC) and practical modulation schemes for arbitrary alphabets, lacking practical implementations and measurable gains.
Innovation Solution
A method involving generalized bit-to-symbol and symbol-to-bit maps with forward error correction using polar codes, applied to arbitrary finite abelian groups and lattice-based signal constellations, enabling efficient modulation and decoding.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If lattice-based signal modulation is combined with forward error correction using polar codes for arbitrary alphabets, then signal transmission reliability and error correction are enhanced, but device complexity and implementation difficulty increase
Solution Approach 1:
The patent segments the complex lattice-based modulation and error correction process into distinct functional modules: (1) bit-to-symbol mapping module that converts input bits to symbols from arbitrary alphabets, (2) polar code encoding module that applies forward error correction, and (3) symbol-to-lattice-point mapping module that maps symbols to lattice constellation points. This modular segmentation reduces implementation complexity while maintaining the reliability benefits of the combined approach.
Solution Approach 2:
The patent introduces an intermediary symbol representation layer between the binary input and the lattice constellation points. Instead of directly mapping bits to lattice points, the system first converts bits to symbols from arbitrary alphabets, then applies polar codes to these symbols, and finally maps the coded symbols to lattice points. This intermediary layer simplifies the overall mapping process and enables flexible integration of lattice modulation with polar code-based error correction.
2Use of energy by moving object
If dense lattice constellations are used for modulation, then energy consumption is reduced and throughput is increased, but manufacturing precision and mapping accuracy requirements increase
Solution Approach 1:
The patent employs parameter changes by allowing flexible selection of lattice constellation parameters (such as lattice type, dimensionality, and density) and polar code parameters (such as code rate and block length) to optimize the balance between energy efficiency and mapping accuracy. The system can adaptively adjust these parameters based on channel conditions and performance requirements, enabling dense lattice constellations to achieve lower energy consumption while maintaining acceptable mapping precision through parameter optimization.
Data Source
AI summary
A signal transmitter encodes data bits into an index value that is included within the index values in Λ/rΛ, where Λ is a lattice. The signal transmitter modulates the index values into lattice points of a lattice group and converts each lattice point to a baseband in-phase/quadrature (I/Q) point. The signal transmitter transmits a signal that a a modulation based on the I/Q points and has a demodulated component to be decoded at a signal receiver to recover the data bits.