A Two-Step Lag-Profile-Based Approach to the Inversion of the Incoherent Scatter Radar Data

Statistics – Computation

Scientific paper

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2400 Ionosphere, 2494 Instruments And Techniques

Scientific paper

The extraction of altitude profiles of ionospheric parameters such as electron density, electron temperature, ion temperature, and ion fractions from the incoherent scatter radar (ISR) measurements requires careful consideration of two main aspects of the inversion process. The first is due to the range smearing effect of the radar pulse on the information from one altitude over a range of altitudes, and the second is due to the nonlinear relationship between the parameters and measured spectra. We propose a two-step lag-profile-based method for accurate and efficient parameter estimation from ISR data. The first step consists of the computation of the incoherent scatter autocorrelation function (ACF) from a set of 1-D deconvolutions. We exploit regularization techniques to overcome the problems associated with the ill-conditioned nature of the convolution matrix. Estimation of the parameters from the resulting incoherent scatter ACF using non-linear least-squares fitting methods forms the second step. Furthermore, as simulations reveal, using two or more pulses improves the deconvolution process by reducing the inherent ambiguity in the range smearing operation. We have developed a technique using a pair of simple amplitude-modulated sequences that has superior performance over a pair of long pulses. The nonlinear least squares fitting of the deconvolved lag-profiles may be accomplished for one height at a time or for an altitude model (such as polynomial) of the ionospheric parameters at a limited range of altitudes. We consider the suitability of each alternative for the inversion of the Arecibo World Day data. Results demonstrate improved spatial resolution obtained while reducing the computational complexity.

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