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顯著SAR影像方位參數之統計檢定

Statistical Testings for Determining Significant SAR-Image Orientation Parameters

摘要


對側視SAR影像幾何分析而言,存在著求定飛行路徑上時變雷達天線位置參數之任務。本文使用能合理收斂的高階(四階)時間多項式,以記述該位置/方位參數;並將之併入於基本的測距與Doppler(雷達測量)條件式中。循例,用最小二乘平差法,能獲得多項式參數改正量及觀測殘差量。所估計的改正量與其統計方差能反映各對應參數之顯著性。同等必要地,理論上所估計觀測殘差之二次形應反映最小數值。文章明確地表達所應用的顯著參數檢定式與模式最佳化準則。在國內空載SAR斜距影像實驗例中,印證此顯著性統計推論之理念有令人滿意的表現。

並列摘要


For geometric analysis of side-looking SAR image, it is frequently of interest to determine the time-varying radar antenna's position parameters along a flight path. This paper employs converging higher (fourth)-order time polynomials to model the position/orientation parameters; and the polynomials are incorporated into the basic ranging/Doppler (radargrammetric) conditions. As usual, an iterative least-squares adjustment yields both polynomial parameter corrections and measurement residuals. The estimated corrections and their statistical variances can be used to investigate their respective parametric significance. Equally essential are the estimated measurement residuals because the corresponding residual quadratic-form should theoretically reflect a minimum value. Explicitly, the paper expresses the parameter significance testing and the model optimization criteria. The results of an experimental airborne SAR slant-range image indicate that the proposed methodology satisfactorily works.

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