本文選題：傅立葉變換 + Hilbert-Huang變換�。� 參考：《地球物理學(xué)進(jìn)展》2017年04期

【摘要】：Hilbert-Huang變換(HHT)和傅立葉變換是目前廣發(fā)應(yīng)用于大地電磁(MT)信號(hào)處理的兩種算法,但兩種方法在MT信號(hào)的處理中的適用性研究卻鮮有報(bào)道.文章以仿真平穩(wěn)信號(hào)、加噪信號(hào)、非平穩(wěn)信號(hào)和實(shí)測(cè)大地電磁信號(hào)為例,從準(zhǔn)確性、穩(wěn)定性、計(jì)算效率等幾個(gè)方面比較了兩種算法在大地電磁信號(hào)處理中的適用性.結(jié)果表明:傅立葉變換對(duì)于無(wú)噪平穩(wěn)信號(hào)的分析,其分辨率和準(zhǔn)確性很高,且計(jì)算速度快,適合海量大地電磁測(cè)深數(shù)據(jù)的處理;HHT算法具有時(shí)頻分析和濾除高頻分量的能力,能精確的刻畫(huà)信號(hào)能量隨時(shí)間和頻率的分布,且抗噪聲性能好,在MT數(shù)據(jù)篩選和去噪等方面有優(yōu)勢(shì);基于HHT邊際譜的功率譜估計(jì)更適合MT信號(hào)非平穩(wěn)特性的實(shí)質(zhì),但其計(jì)算效率低,是制約其工程應(yīng)用的瓶頸問(wèn)題.
[Abstract]:Hilbert-Huang transform and Fourier transform are two algorithms which are widely used in magnetotelluric (MT) signal processing, but the applicability of the two methods in MT signal processing is seldom reported.Taking the simulated stationary signal, noised signal, non-stationary signal and measured magnetotelluric signal as examples, the applicability of the two algorithms in magnetotelluric signal processing is compared in terms of accuracy, stability and computational efficiency.The results show that the Fourier transform has high resolution and accuracy for noiseless stationary signal analysis, and the calculation speed is fast. The HHT algorithm is suitable for the processing of massive magnetotelluric sounding data and has the ability of time-frequency analysis and filtering of high-frequency components.It can accurately describe the distribution of signal energy with time and frequency, and has good anti-noise performance, so it has advantages in MT data filtering and denoising, and the power spectrum estimation based on HHT marginal spectrum is more suitable for the essence of non-stationary characteristics of MT signal.But its calculation efficiency is low, is the bottleneck problem which restricts its engineering application.
【作者單位】： 湖南文理學(xué)院洞庭湖生態(tài)經(jīng)濟(jì)區(qū)建設(shè)與發(fā)展湖南省協(xié)同創(chuàng)新中心;湖南財(cái)政經(jīng)濟(jì)學(xué)院信息技術(shù)與管理學(xué)院;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(41304098) 湖南省自然科學(xué)基金項(xiàng)目(2017JJ2192,2017JJ2015) 湖南省教育廳重點(diǎn)項(xiàng)目(16A146)聯(lián)合資助
【分類號(hào)】：P631.325

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