We propose an analytic technique for reducing sidelobe artifacts in synthet
ic aperture radar data. The technique, called leakage energy minimization (
LEM), uses a spatially varying aperture function, the coefficients of which
satisfy a simple optimality condition. The integrated sidelobe energy (or
leakage energy) characterizing a given aperture weighting function is used
as a metric for determining the likelihood of an aperture weighting. When a
pplied to synthetic aperture radar data, the technique can effectively redu
ce sidelobe Levels with negligible loss of resolution, The algorithm is com
putationally efficient, and its application requires no restrictions on the
data sampling rate.