موجة ريكر

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This page is a translated version of the page Dictionary:Ricker wavelet and the translation is 12% complete.
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{{#category_index:R|Ricker wavelet}} موجة صفرية الطور، وهي المشتقة الثاني للدالة الغاوسية أو المشتقة الثالث لدالة كثافة الاحتمال النظامية. وغالبًا ما يتم استخدام مويجة ريكر كمويجة مدمجة ذات المرحلة الصفرية في صناعة النمذجة وتصنيع مخطط الزلازل الاصطناعية. انظر الشكل R-14. وسميت نسبة لعالم الجيوفيزياء الأمريكي نورمان إتش ريكر (1896–1980) ،.

Segr14.jpg

FIG. R-14. Ricker wavelet. (a) Time-domain and (b) frequency-domain representations.


The amplitude f(t) of the Ricker wavelet with peak frequency fM at time t is given by,

.

The frequency domain representation of the wavelet is given by,

Where,

and .

The mean frequency and the median frequency .

Sometimes the period (somewhat erroneously referred to occasionally as the wavelength) is given as 1/f, but since it has mixed frequencies, this is not quite correct, and for some wavelets is not even a good approximation. In fact, the Ricker wavelet has its sidelobe minima at

These minima have the value