Fourier-Hilbert versus Hartley-Hilbert transforms with some geophysical applications

N. Sundararajan*, Y. Srinivas

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

18 اقتباسات (Scopus)


An intimate mathematical relation between Hartley and Hilbert transforms is given here in contrast with the well known Fourier and Hilbert transform relations. It is interesting to note that the Fourier-Hilbert and Hartley-Hilbert transforms while possessing the same magnitude differ in phase by 270°. The inverse Hartley-Hilbert transform returns the original function unlike the Fourier-Hilbert transform which results the negative of the original function. Further, it may be realized that the envelope defined here of the analytic signal in both Fourier-Hilbert and Hartley-Hilbert domains numerically remain the same while differing in polarity. The feasibility of Hartley-Hilbert transform for a straight forward interpretation, total magnetic anomaly due to a thin plate from Tejpur, India and self potential data of the Sulleymonkey anomaly in the Ergani Copper district, Turkey are illustrated in contrast with the Fourier-Hilbert transform. This pair of transforms have innumerable geophysical applications.

اللغة الأصليةEnglish
الصفحات (من إلى)157-161
عدد الصفحات5
دوريةJournal of Applied Geophysics
مستوى الصوت71
رقم الإصدار4
المعرِّفات الرقمية للأشياء
حالة النشرPublished - أغسطس 2010
منشور خارجيًانعم

ASJC Scopus subject areas

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