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《Chinese Journal of Geophysics》 1999-S1
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A WALSH TRANSFORM METHOD OF SPHERICAL HARMONIC SYNTHESIS FOR GRAVITATIONAL FIELD

MENG JIA-CHUN CAI XI-MEI (Institute of Geodesy and Geophysics, Chinese Academy of Sciences , Wuhan 430077 , China) MENG WEI (Wuhan Documentation and Information Center. Chinese Academy of Sciences, Wuhan 430071, China)  
The problem of spherical harmonic synthesis for the gravitational field realized directly by the Walsh transform in sequency domain is put forward in this paper. The Walsh transform of spherical harmonic expansion and fast algorithm is presented. The differences between the Walsh transform and the Walsh-Fourier transform, and the Fourier transform are discussed. The results of the Walsh transform and the Fourier transform made by the geopotential coefficients of the Earth's gravity field model OSU81 are analysed. The results of research show that the differences of corresponding vector between the Walsh transform and the Walsh-Fourier transform, and the Fourier transform are usually less than±10~(-5) in quantities. The values of spherical harmonic synthesis obtained by using three methods are always indentical for a given order and altitude. The data of grid for 1°×1°etc are similar to the Walsh functions in shape. The Walsh series will converge much faster than the Fourier series in research of gravity field. The Walsh transform can be better than the Fourier transform in computation speed, computational accuracy, data storage, convergence rate, and simplicity in method.
【Fund】: 国家自然科学基金项目(49384003);; 中国科学院院长基金特别支持项目(930156)
【CateGory Index】: P312.1
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 MENG JIA-CHUN LIU SHANG-YU(Institute of Geodesy and Geophysics, Academia Sinica, Wuhan 430077);RESEARCH ON ACCURACIES FOR SATELLITE GRAVITY GRADIOMETRY AND EARTH'S GRAVITATIONAL FIELD[J];Chinese Journal of Geophysics;1993-06
2 MENG JIA-CHUN; CAI XI-MEI(Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077, China)MENG WEI(Wuhan Documentation and Information Center, Chinese Academy of Sciences, Wuhan 430071, China);WALSH-FOURIER SERIES EXPANSION AND TRANSFORM FOR THE GRAVITATIONNAL POTENTIAL[J];Chinese Journal of Geophysics;1998-S1
【Co-references】
Chinese Journal Full-text Database 8 Hits
1 YANG Yi xian, HU Zheng ming, XU Cheng qian (Information Engineering School, Beijing University of Posts and Telecommunications, Beijing 100876, China);Overview of Dyadic Theory[J];Journal of Beijing University of Posts and Telecommunications;2002-01
2 MENG JIA-CHUN; CAI XI-MEI(Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077, China)MENG WEI(Wuhan Documentation and Information Center, Chinese Academy of Sciences, Wuhan 430071, China);WALSH-FOURIER SERIES EXPANSION AND TRANSFORM FOR THE GRAVITATIONNAL POTENTIAL[J];Chinese Journal of Geophysics;1998-S1
3 ZHANG Qi-shan\+1, WANG Gang\+1, JIN Ming-lu\+2 (1. Faculty 202, Beijing University of Aeronautics and Astronautics, Beijing\ 100083, China) (2. The Department of Electronic Engineering, Shenyang College of Aeronautics, Shenyang\ 110000, China);COPY THEORY OF SIGNAL AND ITS APPLICATION IN THE COMMUNICATION[J];Acta Aeronautica Et Astronautica Sinica;2001-S1
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【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 MENG JIA-CHUN CAI XI-MEI(Institute of Geodesy and Geophysics, Academia Sinica, Wuhan 430077);APPROACH ON SATELLITE GRAVITY GRADIOMETRY AND ITS VISTAS OF APPLICATIONS[J];Chinese Journal of Geophysics;1991-03
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