New physical wavelet ’ Gaussian Wave Packet ’
نویسندگان
چکیده
An exact solution of the homogeneous wave equation which was found previously is treated from the point of view of the continuous wavelet analysis (CWA). Time being a fixed parameter the solution yields a new multidimensional mother wavelet for the CWA. Both the wavelet and its Fourier transform are given with explicit formulas and are exponentially localized. The wavelet is directional. The widths of the wavelet, the uncertainty relation are investigated numerically. If some parameter is large, the wavelet behaves asymptotically as the Morlet wavelet. The solution is a new physical wavelet in the definition of Kaiser, it can be interpreted as a sum of two parts the advanced and the retarded, both being the fields of the pulsed point source moving with the speed of waves propagation along the straight line in complex space-time.
منابع مشابه
Fe b 20 07 New physical wavelet ’ Gaussian Wave Packet
An exact solution of the homogeneous wave equation, which was found previously, is treated from the point of view of continuous wavelet analysis (CWA). If time is a fixed parameter, the solution represents a new multidimensional mother wavelet for the CWA. Both the wavelet and its Fourier transform are given by explicit formulas and are exponentially localized. The wavelet is directional. The w...
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