The true‐height analysis of ionograms using simplified numerical procedures

L. ‐C Tsai, F. T. Berkey, G. S. Stiles

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


In this paper a numerical integration method termed “μ't fitting” for application to the true‐height analysis of digitally recorded ionograms is introduced. This method can be used to analyze either the O or X waves in an ionogram and includes the effect of the Earth's magnetic field. For the second order polynomial profile analysis the μ't fitting technique utilizes 38–62% fewer numerical operations than the Gaussian quadrature integration method. Applying 5‐ (12‐) term μ' t fitting to 100 data points, the method completes a true‐height analysis in 0.77 (1.43) s, using an 80486/33 computer system. Furthermore, applying this technique to the overlapping Chapman model profile adopted by Union Radio Scientifique Internationale (URSI) Working Group G.6.2 (McNamara and Titheridge, 1977) yields rms errors of 8.3 and 7.0 meters for the O and X wave components (12‐term μ't fitting), over a set of 22 selected frequencies.

Original languageEnglish
Pages (from-to)949-959
Number of pages11
JournalRadio Science
Issue number4
StatePublished - 1995


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