OTFS Modulation Delay-Doppler Domain Correction

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Solution Overview

Problem

Existing telecommunications systems face challenges in efficiently transmitting data over imperfect wireless channels due to echo reflections and frequency shifts, which degrade signal quality and reduce data transmission rates.

Innovation Solution

The method involves distributing data symbols over a 2D OTFS delay-Doppler frame, using orthogonal basis wave functions to modulate each symbol, and transmitting these across multiple narrow-band subcarriers and time intervals, allowing for lossless and invertible transformation and scrambling to correct for channel impairments.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If traditional statistical models (Clarke-Jakes) are used to design communication systems, then system robustness against channel impairments is improved, but data transmission rate and efficiency deteriorate

Engineering Contradiction:
Improvesystem robustnessVSAvoiddata transmission rate
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The patent transforms the communication approach by changing the domain parameters from time-frequency to delay-Doppler domain. This parameter transformation allows the system to characterize channel impairments (echo reflections and frequency shifts) as localized distortions in the delay-Doppler domain, which can be corrected through inverse transformation, thereby maintaining high data transmission rates while achieving robustness against channel impairments

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent introduces a dimensional transformation by mapping data symbols from traditional time-frequency representation to delay-Doppler representation. This dimensional change enables the system to separately characterize and correct different types of channel impairments (delay from reflections, Doppler from frequency shifts) independently, resolving the contradiction between reliability and productivity

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

2Productivity

If data symbols are transmitted over wide-band channels, then data transmission rate is improved, but susceptibility to echo reflections and frequency shifts worsens

Engineering Contradiction:
Improvedata transmission rateVSAvoidchannel distortion susceptibility
Core Design Contradiction:
ProductivityVSObject-affected harmful factors

Solution Approach 1:

The patent segments the channel distortion problem into two independent components: delay distortions from echo reflections and Doppler distortions from frequency shifts. By treating these as separable effects in the delay-Doppler domain, the system can apply targeted correction for each type of distortion, allowing wide-band transmission without increased susceptibility to channel impairments

Inventive Principle:
Principle #1Segmentation

3Reliability

If frequency separation between channels is increased to avoid smearing, then signal quality is improved, but spectrum efficiency deteriorates

Engineering Contradiction:
Improvesignal qualityVSAvoidspectrum efficiency
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The patent replaces the mechanical approach of frequency separation with a signal processing approach. Instead of physically separating channels in frequency domain to avoid smearing, the system uses delay-Doppler domain transformation to characterize and correct smearing effects, allowing channels to be closely spaced in frequency while maintaining signal quality through computational correction

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

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach effectively characterizes and corrects channel distortions, ensuring high data transmission reliability and efficiency by accurately mapping data symbols across time and frequency shifts, even in impaired wireless channels.

Implementation Method 1

the data channel is time varying and subject to Doppler frequency shifts

Methodology Applied
Scientific EffectDoppler effect: Doppler Effect

Implementation Method 2

the data channel is subject to time delays caused by echo reflections

Methodology Applied
Scientific EffectEcho: Echo

Data Source

PatentUS11601213B2Orthogonal time frequency space modulation over a plurality of narrow band subcarriers
Publication Date: 2023.03.07 COHERE TECHNOLOGIES INC
  • US11601213B2 patent drawing
  • US11601213B2 patent drawing
  • US11601213B2 patent drawing

AI summary

An Orthogonal Time Frequency Space Modulation (OTFS) modulation scheme that maps data symbols, along with optional pilot symbols, using a symplectic-like transformation such as a 2D Fourier transform and optional scrambling operation, into a complex wave aggregate and be backward compatible with legacy OFDM systems, is described. This wave aggregate may be processed for transmission by selecting portions of the aggregate according to various time and frequency intervals. The output from this process can be used to modulate transmitted waveforms according to various time intervals over a plurality of narrow-band subcarriers, often by using mutually orthogonal subcarrier “tones” or carrier frequencies. The entire wave aggregate may be transmitted over various time intervals. At the receiver, an inverse of this process can be used to both characterize the data channel and to correct the received signals for channel distortions, thus receiving a clear form of the original data symbols.