Advances in Adaptive Radar Detection and Range Estimation by Chengpeng Hao & Danilo Orlando & Jun Liu & Chaoran Yin

Author:Chengpeng Hao & Danilo Orlando & Jun Liu & Chaoran Yin
Language: eng
Format: epub
ISBN: 9789811663994
Publisher: Springer Singapore

(3.146)

Observe that the MLEs of and under , , are given by (3.139) and (3.140), respectively. Plugging them into (3.146), yields

(3.147)

The adaptivity is achieved by replacing with where and are given by (3.115).

Summarizing, the two-step GLRT is given by

(3.148)

Two-step GLRT for known ICM: In order to facilitate the derivation, we adopt the definitions in (2.​42), namely we move the power scaling factor from the secondary data to the primary data. Thus, the PDF of under , , is given by

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