To: Reply by the author to B. N. P. Argarwal (March‐April 1997 GEOPHYSICS, 62, p. 690–691) in the Discussion on “Interpretation of two dimensional magnetic bodies using Hilbert transforms,” by N. L. Mohan, N. Sundararajan, and S. V. Seshagiri Rao (March 1982 GEOPHYSICS, 52, p. 376–387)

Geophysics ◽  
1997 ◽  
Vol 62 (3) ◽  
pp. 1003-1003
Author(s):  
N. L. Mohan ◽  
N. Sundararajan ◽  
S. V. Seshagiri Rao
Keyword(s):  
Two Dimensional ◽  
Hilbert Transforms

This reply ran incomplete with the Discussion. It should have read “N. L. Mohan feels that he adequately addressed points raised earlier by Nagendra and Babu regarding the same paper.”

Reply by the authors to R. Pauls

Geophysics ◽  
1985 ◽  
Vol 50 (1) ◽  
pp. 168-169
Author(s):  
N. L. Mohan ◽  
N. Sundararajan ◽  
S. V. Seshagiri Rao
Keyword(s):  
Two Dimensional ◽  
Hilbert Transforms ◽  
Keen Interest

We appreciate the keen interest evinced by Mr. Rob Pauls on our article “Interpretation of some two‐dimensional magnetic bodies using Hilbert transforms.” We are very sorry to note that Mr. Pauls has made hasty comments without going through our article critically.

On: “Interpretation of some two‐dimensional magnetic bodies using Hilbert transforms, by N. L. Mohan, N. Sundararajan, and S. V. Seshagiri (GEOPHYSICS, 47, 376–387, March, 1982)

Geophysics ◽  
1987 ◽  
Vol 52 (2) ◽  
pp. 239-240
Author(s):  
R. Nagendra ◽  
H. V. Ram Babu
Keyword(s):  
Magnetic Anomalies ◽  
Two Dimensional ◽  
Hilbert Transforms ◽  
The Subject

We read Mohan et al.’s paper on interpretation of magnetic anomalies using Hilbert transforms and the discussion raised on it by Pauls (1985) and the authors’ reply (Mohan et al., 1985). While critically going through the authors’ reply (Mohan et al., 1985), we noticed a serious error in the subject paper related to the incompatibility of its equations (1) and (2).

On: “Interpretation of two dimensional magnetic bodies using Hilbert transforms,” by N. L. Mohan, N. Sundararajan, and S. V. Seshagiri Rao (March 1982 GEOPHYSICS, 52, p. 376–387)

Geophysics ◽  
1997 ◽  
Vol 62 (2) ◽  
pp. 690-691
Author(s):  
B. N. P. Agarwal
Keyword(s):  
Magnetic Field ◽  
Hilbert Transform ◽  
Two Dimensional ◽  
Hilbert Transforms ◽  
The Hilbert Transform

While going through some of the publications (Mohan and Babu, 1995), I became interested in the work of Mohan et al. (1982) which proposed a technique for interpretation of magnetic field anomalies over different geometrical sources using the Hilbert transform (HT). Before I put forward my observations, it would be appropriate to look into some important properties of HT (Whalen, 1971, pages 63 and 69.)

Interpretation of some two‐dimensional magnetic bodies using Hilbert transforms

Geophysics ◽  
1982 ◽  
Vol 47 (3) ◽  
pp. 376-387 ◽  
Author(s):  
N. L. Mohan ◽  
N. Sundararajan ◽  
S. V. Seshagiri Rao
Keyword(s):  
Circular Cylinder ◽  
Andhra Pradesh ◽  
Theoretical Models ◽  
Magnetic Anomalies ◽  
Two Dimensional ◽  
Hilbert Transforms ◽  
Infinite Depth ◽  
The Hilbert Transform ◽  
Depth Extent ◽  
Horizontal Circular Cylinder

Procedures are formulated using the Hilbert transform for interpreting vertical magnetic anomalies of (1) the sheets (finite and infinite depth extent), (2) the dike, and (3) the horizontal circular cylinder. The applicability of the method is tested on theoretical models. The method is also applied on the well‐known Kursk field anomaly of a sheet (infinite‐depth extent) and the field anomaly of a dike of Karimnagar, Andhra Pradesh, India.

APPLICATION OF HILBERT TRANSFORMS TO MAGNETIC PROFILES

Geophysics ◽  
1972 ◽  
Vol 37 (6) ◽  
pp. 1043-1045 ◽  
Author(s):  
Ralph T. Shuey
Keyword(s):  
Linear Combination ◽  
Hilbert Transform ◽  
Magnetic Data ◽  
Two Dimensional ◽  
Total Field ◽  
Hilbert Transforms ◽  
Vertical Field ◽  
Reduction To The Pole

Three related operations commonly performed on total‐field magnetic data are 1) conversion to vertical‐field anomaly, 2) reduction to the pole, and 3) computation of pseudogravimetric anomalies. This note shows that for profile or flight line data for which the source can be assumed to be two‐dimensional, all these operations amount to linear combination of the profile with its Hilbert transform.

On: Interpretation of some two‐dimensional magnetic bodies using Hilbert transforms (GEOPHYSICS, v. 47, p. 376–387).

Geophysics ◽  
1983 ◽  
Vol 48 (2) ◽  
pp. 248-248
Author(s):  
J. Roth
Keyword(s):  
Hilbert Transform ◽  
Potential Field ◽  
Two Dimensional ◽  
Hilbert Transforms ◽  
The Hilbert Transform

The above‐cited paper usefully examines and extends the application of the Hilbert transform to potential field interpretation. However, the authors’ terse mention of Nabighian’s paper (Geophysics, 1972) fails to characterize adequately and acknowledge his original insights and contributions to the Hilbert transform presented in that paper. It is surprising as well that none of the reviewers and/or editors saw fit to rectify this undeserved omission.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

Introductory paper

1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan
Keyword(s):  
Line Intensity ◽  
Classification Scheme ◽  
Two Dimensional ◽  
Spectral Classification ◽  
Dimensional Array ◽  
Rr Lyrae ◽  
Metallic Line ◽  
Introductory Paper ◽  
Parameter Varying ◽  
Definition Of

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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