Binary Modulation on Conjugate-Reciprocal Zeros for Short-Packet Communications

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Solution Overview

Problem

Current communication systems face challenges in efficiently transmitting sporadic and short-message traffic over unknown wireless multipath channels, particularly in scenarios with high mobility and frequency-selective fading.

Innovation Solution

The system employs a blind modulation scheme called Binary Modulation on Conjugate-Reciprocal Zeros (BMOCZ) that utilizes timing-offset and carrier frequency offset estimation to communicate effectively over unknown multipath channels. This involves encoding information bits using a cyclically permutable code (CPC) and modulating them onto the zeros of the z-transform of the discrete-time baseband signal.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If conventional channel estimation procedures are used, then channel information can be acquired, but substantial overhead and latency are incurred

Engineering Contradiction:
Improvechannel information acquisitionVSAvoidoverhead and latency
Core Design Contradiction:
ReliabilityVSLoss of time

Solution Approach 1:

The patent extracts and eliminates the channel estimation phase entirely from the communication protocol. By using blind modulation schemes that do not require channel state information, the system removes the overhead associated with training symbols and channel feedback mechanisms, achieving reliable communication without the time-consuming channel estimation procedures

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The system performs preliminary coding using cyclically permutable codes that are inherently robust to channel impairments. This pre-encoding approach prepares the signal to withstand multipath fading and frequency offsets without requiring subsequent channel compensation, thereby eliminating the need for channel estimation while maintaining reliability

Inventive Principle:
Principle #10Preliminary action

2Measurement precision

If training symbols are used for channel estimation, then link parameters can be estimated, but communication efficiency decreases for short messages

Engineering Contradiction:
Improvelink parameter estimationVSAvoidcommunication efficiency
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The communication system uses self-service blind detection mechanisms where the receiver independently identifies transmitted symbols without requiring training sequences. The blind equalization and symbol detection algorithms automatically adapt to channel conditions using only the data symbols themselves, eliminating the need for separate training phases and maximizing efficiency for short messages

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The patent employs cyclically permutable codes with redundant structure that provide sufficient information for direct detection without complete channel knowledge. The code design includes deliberate redundancy that enables partial channel compensation through coding alone, replacing the need for exhaustive training sequences while maintaining adequate detection accuracy

Inventive Principle:
Principle #16Partial or excessive action

3Ease of operation

If sequential communication phases are used, then control information can be exchanged, but tremendous overhead is generated for short messages

Engineering Contradiction:
Improvecontrol information exchangeVSAvoidoverhead
Core Design Contradiction:
Ease of operationVSLoss of time

Solution Approach 1:

The patent merges the data transmission and control functions into a single unified phase. By using blind modulation schemes where data symbols carry both information and implicit control signaling through their structure and timing, the system eliminates separate control phases and handshaking procedures, achieving ease of operation without the overhead of sequential communication stages

Inventive Principle:
Principle #5Merging (Combining)

Data Source

PatentUS20250119330A1Systems and Methods for Communicating by Modulating Data on Zeros in the Presence of Channel Impairments
Publication Date: 2025.04.10 MOXZ GMBH
  • US20250119330A1 patent drawing
  • US20250119330A1 patent drawing
  • US20250119330A1 patent drawing

AI summary

Communication systems and methods in accordance with various embodiments of the invention utilize modulation on zeros. Carrier frequency offsets (CFO) can result in an unknown rotation of all zeros of a received signal's z-transform. Therefore, a binary MOCZ scheme (BMOCZ) can be utilized in which the modulated binary data is encoded using a cycling register code (e.g. CPC or ACPC), enabling receivers to determine cyclic shifts in the BMOCZ symbol remitting from a CFO. Receivers in accordance with several embodiments of the invention include decoders capable of decoding information bits from received discrete-time baseband signals by: estimating a timing offset for the received signal; determining a plurality of zeros of a z-transform of the received symbol; identifying zeros from the plurality of zeros that encode received bits by correcting fractional rotations resulting from the CFO; and decoding information bits based upon the received bits using a cycling register code.