In this paper we extend analytic signal method to the functions in many dimensions. First it is shown how to obtain separate phase-shifted components and how combine them to obtain signal's envelope, instantaneous frequencies and phases in many dimensions. Second, we show that phase-shifted components may be obtained by positive frequency restriction of the Fourier transform defined in the alge...

in this paper, genetic programming is applied for quality improvement of noisy speech signal. therefore, a system including both spectral subtraction and genetic programming is implemented for speech enhancement. in the proposed method, first noise is reduced by spectral subtraction. in the next step, genetic programming trees are trained for more enhancement of noisy signal by mapping the sign...

gravity and magnetic data are usually processed and interpreted separately, and fully integrated results basically are created in the mind of the interpreter. data interpretation in such a manner requires an interpreter experienced both on topics concerning potential field theory and the geology of the study area. to simplify the joint interpretation of data, the automatic production of auxilia...

We propose Hilbert transform and analytic signal construction for signals over graphs. This is motivated by the popularity of Hilbert transform, analytic signal, and modulation analysis in conventional signal processing, and the observation that complementary insight is often obtained by viewing conventional signals in the graph setting. Our definitions of Hilbert transform and analytic signal ...

Many concepts that are used in multi{dimensional signal processing are derived from one{dimensional signal processing. As a consequence , they are only suited to multi{dimensional signals which are intrinsically one{dimensional. We claim that this restriction is due to the restricted algebraic frame used in signal processing, especially to the use of the complex numbers in the frequency domain....

in wireless channel the noise has a zero mean. this channel property can be used in the enhancement of the noise performance in the digital receivers by oversampling the received signal and calculating the decision variable based on the time average of more than one sample of the received signal. the averaging process will reduce the effect of the noise in the decision variable that will approa...

An analytic signal permits unambiguous characterization of the phase and envelope of a real signal. But the analytic signal's phase-derivative i.e. the instantaneous frequency (IF) is typically a wild function and can take on values ranging fron negative in nity to positive in nity. Fortunately, any analytic signal can be decomposed into a minimum phase (MinP) signal component and an all-phase ...

The analytic signal is one of the most capable approaches in onedimensional signal processing. Two-dimensional signal theory suffers from the absence of an isotropic extension of the analytic signal. Accepting the fact that there is no odd filter with isotropic energy in higher dimensions, one tried to circumvent this drawback using the one-dimensional quadrature filters with respect to several...

The paper compares the features of three extensions of the notion of the Gabor’s analytic signal for 2-D signals: the analytic signals with single-quadrant spectra (AS), the quaternionic signals with quaternionic single-quadrant spectra (QS) and the monogenic signals (MS). A good platform of comparison are the polar representations of the AS and the QS and the spherical coordinate representatio...