Digital Quantum Chaotic Wavepacket Signal Generation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Classical chaotic signals are impractical for radio communication and radar due to the impossibility of chaotic carrier synchronization under interference, which deteriorates communication performance and bit error rates.
Innovation Solution
Generating digital quantum chaotic wavepacket signals by combining quantum state chaotic transition theory with classical time-frequency analysis, using a Hermitian matrix to calculate eigen-wavefunctions and applying chaos criteria to create signals with unique splitting spectra, compatible with classical sinusoidal signals.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If classical chaotic signals are used for radio communication and radar, then sensitivity to initial states, pseudo randomness, aperiodicity, noise-like wideband and sharp autocorrelation features are achieved, but chaotic carrier synchronization under interference becomes impossible
Solution Approach 1:
The patent introduces a reference signal as an intermediary between the transmitted chaotic signal and the received signal. This reference signal, which is a copy of the original chaotic signal stored in a buffer, serves as a mediator to achieve synchronization without requiring direct chaotic synchronization under interference. The reference signal bridges the gap between transmitter and receiver, enabling correlation detection and signal recovery.
Solution Approach 2:
The patent creates a digital copy of the transmitted chaotic signal and stores it in a buffer memory. This copied reference signal is then used for correlation detection at the receiver side, eliminating the need for complex chaotic synchronization algorithms. The copying approach allows the system to maintain the benefits of chaotic signals while avoiding their synchronization difficulties.
2Productivity
If BOC signal is used in GNSS, then modulation efficiency is improved, but spectrum leakage problem occurs
Solution Approach 1:
The patent modifies the spectral characteristics of the BOC signal by using chaotic modulation instead of traditional sinusoidal modulation. The chaotic signal's inherent broadband spectrum and sharp autocorrelation properties change the spectral distribution, reducing spectrum leakage while maintaining modulation efficiency. The parameter change involves transitioning from periodic to aperiodic modulation waveforms.
3Productivity
If chaotic carrier synchronization is attempted under interference, then information transmission rate is maintained, but bit error rate deteriorates sharply
Solution Approach 1:
The patent implements a feedback mechanism where the received signal is correlated with the stored reference signal to detect and correct synchronization errors. This feedback loop continuously adjusts the timing and phase alignment between the transmitted and received signals, maintaining low bit error rates even in the presence of interference while preserving the high information transmission rate enabled by chaotic signals.
Data Source
AI summary
A method for generating digital quantum chaotic orthonormal wavepacket signals includes the following steps: construct a N-dimensional Hermitian matrix Ĥ; calculate N eigen-wavefunctions φj of a quantum Hamiltonian system with the Hamiltonian Ĥ by some numerical calculation methods, wherein the Hamiltonian is the Hermitian matrix Ĥ; extract some or all of the eigen-functions φj with obvious chaos features as quantum chaotic eigen-wavefunctions according to a chaos criterion; generate some semi-classical digital quantum chaotic wavepacket signals φj(n) with the same mathematical form as the quantum chaotic eigen-wavefunctions and length N from the selected quantum chaotic eigen-wavefunctions according to the mathematical correspondence between the classical signal and the wavefunction in quantum mechanics. By combining the quantum state chaotic transition theory and the classical time-frequency analysis, some semi-classical quantum chaotic wavepacket digital signals are generated according to the mathematical correspondence between the classical time-frequency signal and the wavefunction in quantum mechanics.