3D Coordinate System for P2P Networks Using O(N) Delay Measurement
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Solution Overview
Problem
Current methods for establishing a three-dimensional (3D) coordinate system in peer-to-peer (P2P) networks require O(N^2) control messages to measure transmission delays, leading to high overhead and long recognition times, especially in networks with varying states and detour paths, which cannot be effectively represented in two-dimensional systems.
Innovation Solution
A method to generate and manage a 3D coordinate system based on transmission delay with O(N) overhead, where nodes calculate coordinates by measuring delays between existing nodes, periodically updating coordinates to reflect network state changes, and using an overdetermined system to handle unstable networks, allowing for rapid recognition of transmission delays with reduced control messages.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If each node transmits control messages to all other nodes to measure transmission delays independently, then each node can recognize node-to-node transmission delays, but the control message transmission overhead becomes O(N^2) and the time to complete exchange increases
Solution Approach 1:
Multiple nodes (i, j, k) cooperate to perform a single mutual timing measurement. Node i transmits a control message that bounces through nodes j and k and returns to i, allowing all four nodes to simultaneously determine their mutual transmission delays through one coordinated measurement event rather than requiring separate pairwise measurements.
Solution Approach 2:
A single control message transmission serves multiple measurement purposes simultaneously. The same message bounce sequence enables node i to measure delays to nodes j and k, while nodes j and k also measure delays to node i and to each other, making the measurement process universal across multiple node pairs.
2Device complexity
If a two-dimensional coordinate system is used to represent node positions, then the system is simple to implement, but it cannot effectively represent transmission delays in networks with detour paths and varying states
Solution Approach 1:
The patent transitions from a two-dimensional coordinate system to a three-dimensional coordinate system to represent node positions. This additional dimension provides the necessary space to accurately model transmission delays in networks with complex topologies, detour paths, and varying network states, while maintaining computational efficiency.
3Speed
If control messages are transmitted frequently to update transmission delays, then the recognition of network state changes is rapid, but the network burden increases and energy consumption rises
Solution Approach 1:
Nodes perform mutual timing measurements periodically rather than continuously or on every network event. This periodic measurement approach balances the need for timely network state recognition with the constraints of energy consumption and network traffic load, allowing the system to adapt to changing conditions while conserving resources.
Data Source
AI summary
A method for generating and managing a 3D coordinate system based on a transmission delay with an O(N) overhead by calculating a transmission delay between large-scale P2P nodes may comprise: generating a coordinate system and setting a node located at an origin of the coordinate system as a block generation node; calculating coordinates of a new node when an additional transmission delay occurs in a process of measuring a transmission delay from the block generation node to another node and requesting coordinates; performing self-cross check in which the block generation node periodically calculates coordinates thereof again; and updating coordinates of nodes comprising the origin of the coordinate system by reflecting a change in a transmission delay between nodes according to a network state change, based on a result of the self-cross check.