基于零均值归一化互相关的双光梳光谱参数反演方法

展开
  • 1. 上海交通大学 中英国际低碳学院,上海 201306;2. 上海交通大学 机械与动力工程学院,上海 200240
姚嘉欣(2001-),硕士生,主要从事激光燃烧诊断研究。
顾明明,副教授;E-mail: minggu163@sjtu.edu.cn。

网络出版日期: 2026-08-17

基金资助

国家自然科学基金(52206222, 22227901)资助项目

A Parameter Retrieval Method for Dual-Comb Spectroscopy Based on Zero-Mean Normalized Cross-Correlation

Expand
  • 1. China-UK Low Carbon College, Shanghai Jiao Tong University, Shanghai 201306, China; 2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Online published: 2026-08-17

摘要

双光梳光谱因具备高分辨率和快速扫描优势,在燃烧诊断与气体定量检测中具有广泛应用。然而在实际测量中,单帧双光梳信号信噪比较低,导致基于最小二乘拟合的参数反演精度显著下降。针对该问题,本文提出一种基于零均值归一化互相关(ZNCC)的双光梳光谱参数反演网格搜索方法。该方法通过构建温度–压强二维时域模板库,对单条吸收光路下的等效线平均测试干涉信号与模板信号进行ZNCC匹配,并结合归一化与二维样条插值,以相似度峰值确定最优参数。仿真结果表明,在无噪声条件下温度与压强的相对误差均小于0.1%,在 15 dB 信噪比下仍可保持1%–2%的预测精度。与最小二乘方法相比,该方法具有更强的抗噪性与计算稳定性,可实现单帧快速反演。

本文引用格式

姚嘉欣1, 胡炜凡2, 王绍杰2, 顾明明2, 齐飞1, 2 . 基于零均值归一化互相关的双光梳光谱参数反演方法[J]. 上海交通大学学报, 0 : 1 . DOI: 10.16183/j.cnki.jsjtu.2026.075

Abstract

Dual-comb spectroscopy (DCS), with its high resolution and rapid scanning capability, has been widely applied in combustion diagnostics and quantitative gas detection. However, under low signal-to-noise ratio (SNR) conditions, the parameter retrieval accuracy of traditional least-squares-based spectral fitting methods deteriorates significantly. To address this issue, this study proposes a dual-comb spectroscopic grid-search algorithm based on zero-mean normalized cross-correlation (ZNCC). The method constructs a two-dimensional temperature–pressure template library, computes the ZNCC between the equivalent line-averaged test interferogram obtained along a single absorption path and the template signals, and normalizes and interpolates the correlation coefficient matrix using a two-dimensional spline. The optimal temperature and pressure are then determined from the correlation peak position. Simulation results demonstrate that the proposed algorithm achieves relative errors below 0.1% for both temperature and pressure under noise-free conditions, and maintains 1–2% prediction accuracy at an SNR of 15 dB. Compared with conventional least-squares fitting approaches, the ZNCC-based grid-search method exhibits stronger noise immunity and computational stability, enabling single-frame, fast parameter retrieval.
文章导航

/