Auxiliary functions of the Hilbert transform in the study of gravity anomalies

G. Ramadass; I. Arunkumar; S. M.Varaprasada Rao; N. L. Mohan; N. Sundararajan

doi:10.1007/BF02841613

Auxiliary functions of the Hilbert transform in the study of gravity anomalies

G. Ramadass^*, I. Arunkumar, S. M.Varaprasada Rao, N. L. Mohan, N. Sundararajan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The auxiliary functions, namely amplitude, phase, envelope and instantaneous frequency of Hilbert transform over gravity anomalies of 2-D sphere, vertical fault block and horizontal circular cylinder are studied. The characteristics of these functions are established in locating and identifying the sources. The method is illustrated with a theoretical example in each case and supported by field data of gravity anomaly over Humble dome and spherical model of the Satak-Mansar area, Nagpur District, India.

Original language	English
Pages (from-to)	211-219
Number of pages	9
Journal	Proceedings of the Indian Academy of Sciences - Earth and Planetary Sciences
Volume	96
Issue number	3
DOIs	https://doi.org/10.1007/BF02841613
Publication status	Published - Dec 1987
Externally published	Yes

Keywords

Auxiliary functions
Hilbert transform
amplitude
instantaneous frequency
phase and envelope

ASJC Scopus subject areas

Earth and Planetary Sciences (miscellaneous)

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10.1007/BF02841613

Cite this

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title = "Auxiliary functions of the Hilbert transform in the study of gravity anomalies",

abstract = "The auxiliary functions, namely amplitude, phase, envelope and instantaneous frequency of Hilbert transform over gravity anomalies of 2-D sphere, vertical fault block and horizontal circular cylinder are studied. The characteristics of these functions are established in locating and identifying the sources. The method is illustrated with a theoretical example in each case and supported by field data of gravity anomaly over Humble dome and spherical model of the Satak-Mansar area, Nagpur District, India.",

keywords = "Auxiliary functions, Hilbert transform, amplitude, instantaneous frequency, phase and envelope",

author = "G. Ramadass and I. Arunkumar and Rao, {S. M.Varaprasada} and Mohan, {N. L.} and N. Sundararajan",

year = "1987",

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doi = "10.1007/BF02841613",

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volume = "96",

pages = "211--219",

journal = "Proceedings of the Indian Academy of Sciences - Earth and Planetary Sciences",

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T1 - Auxiliary functions of the Hilbert transform in the study of gravity anomalies

AU - Ramadass, G.

AU - Arunkumar, I.

AU - Rao, S. M.Varaprasada

AU - Mohan, N. L.

AU - Sundararajan, N.

PY - 1987/12

Y1 - 1987/12

N2 - The auxiliary functions, namely amplitude, phase, envelope and instantaneous frequency of Hilbert transform over gravity anomalies of 2-D sphere, vertical fault block and horizontal circular cylinder are studied. The characteristics of these functions are established in locating and identifying the sources. The method is illustrated with a theoretical example in each case and supported by field data of gravity anomaly over Humble dome and spherical model of the Satak-Mansar area, Nagpur District, India.

AB - The auxiliary functions, namely amplitude, phase, envelope and instantaneous frequency of Hilbert transform over gravity anomalies of 2-D sphere, vertical fault block and horizontal circular cylinder are studied. The characteristics of these functions are established in locating and identifying the sources. The method is illustrated with a theoretical example in each case and supported by field data of gravity anomaly over Humble dome and spherical model of the Satak-Mansar area, Nagpur District, India.

KW - Auxiliary functions

KW - Hilbert transform

KW - amplitude

KW - instantaneous frequency

KW - phase and envelope

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JO - Proceedings of the Indian Academy of Sciences - Earth and Planetary Sciences

JF - Proceedings of the Indian Academy of Sciences - Earth and Planetary Sciences

IS - 3

ER -

Auxiliary functions of the Hilbert transform in the study of gravity anomalies

Abstract

Keywords

ASJC Scopus subject areas

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