Abstract：Smoothed l0 (SL0) norm algorithm, using the steepest descent method and gradient projection principle, approaches to l0 norm with selected smooth function, so as to solve the optimization problem and achieve signals reconstruction. A reconstruction algorithmImproved Composite Trigonometric Function (ICTF-SL0) is proposed, researching approximation of smooth function, precision and calculation load of the algorithm. Firstly, composite trigonometric function is chosen as the smooth one, meanwhile constraint condition is designed by adding Total Variation (TV) as a weight value. And then, matrix decomposition is alternated by using Chaotic iteration to accomplish gradient projection. Finally, by contrast with origin SL0 algorithm and other improved algorithms, simulation results demonstrate that ICTF-SL0 algorithm can availably improve imaging precision, decrease calculation load and achieve signal snapshot imaging under sparse array MIMO radar.
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