the analytic signal for magnetic anomalies was initially defined as a “complex field deriving from a complex potential” (nabighian, 1972). this function can be computed easily in the frequency domain, its real part is the horizontal derivative of the field and its imaginary part is the vertical derivative. analytic signal processing and interpretation requires few initial assumptions regarding ...

an_eul is a new automatic method for simultaneous approximation of location, depth, and structural index (geometry) of magnetic sources. in the 2d case analytic signal is defined as a conjugate function whose imaginary part is the hilbert transform of its real part. since the first vertical derivative of the magnetic field is the hilbert transform of its horizontal derivative, vertical and hori...

In many questions of signal processing, it is important to use the concepts of instantaneous amplitude or phase of signals. This is especially the case in communication systems with amplitude or frequency modulation. These concepts are often introduced empirically. However, it is well known that the correct approach for this purpose is to use the concept of analytic signal. Starting from this p...

Potential field methods such as gravity and magnetic methods are among the most applied geophysical methods in mineral exploration. A high-resolution technique is developed to image geologic boundaries such as contacts and faults. Potential field derivatives are the basis of many interpretation techniques. In boundary detection, the analytic signal quantity is d...

in this paper, an improved method (improved an-eul) is presented. this method is based on the combination of the analytical signal and the euler deconvolution method. two important parameters such as location and approximate geometry of a magnetic source can be obtained using the conventional an-eul method. altitude of ground and height in upward continuation has been considered for depth deter...

The structure of analytic signals is investigated by means of the relation between analytic signals and functions in the Hardy space. It is shown that an analytic signal is made up of two parts, one depends on the amplitude of the signal and another on the boundary value of an inner function. Based on this result, properties of the instantaneous frequencies of these two parts are studied, and i...

rticle history: vailable online xxxx eywords: iscrete Hilbert transform iscrete-time analytic signal edrosian product theorem The aim of this paper is to discuss discrete-time analytic signals and to provide the derivation of Bedrosian product theorem for discrete-time Hilbert transform. With the aid of the continuous-time analytic signals we provide a new approach to produce the discretetime a...

The bulk properties of composites are known to depend strongly on the microstructure. This dependence can be quanti ed in terms of a representation introduced by D. Bergman, which factorizes the geometry dependence from the contrast. Based on this analytic representation of the e ective permittivity, we present a general scheme to estimate the micro structural parameters, such as the volume fra...

In this paper, we derive an analytic representation of the eigenvectors and coefficients for in-plane rotated images. This, on the one hand, allows an efficient PCA-basis calculation in the learning stage and on the other hand a direct computation of the rotation angle in the recognition stage. In the experimental section, we demonstrate that the new method is feasible and the recognition and o...

In the signal theory framework the "analytic signal” is a particular polar representation of a signal . It defines an envelope (a modulus) and a phase (an argument) and these parameters are basic in communications. In this paper, we show that amplitude demodulations generally change envelopes and reduced phases. Consequently we show that recent results in laser communications about these parame...