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The focal underdetermined system solver (FOCUSS) is a powerful tool for sparse representation in complex underdetermined systems.This paper presents the fast FOCUSS method based on the bi-conjugate gradient (BICG),termed BICG-FOCUSS,to speed up the convergence rate of the original FOCUSS.BICGFOCUSS was specifically designed to reduce the computational complexity of FOCUSS by solving a complex linear equation using the BICG method according to the rank of the weight matrix in FOCUSS.Experimental results show that BICG-FOCUSS is more efficient in terms of computational time than FOCUSS without losing accuracy.Since FOCUSS is an efficient tool for estimating the space-time clutter spectrum in sparse recoverybased space-time adaptive processing (SR-STAP),we propose BICG-FOCUSS to achieve a fast estimation of the space-time clutter spectrum in mono-static array radar and in the mountaintop system.The high performance of the proposed BICG-FOCUSS in the application is demonstrated with both simulated and real data.