This paper provides a modified fast adaptive algorithm for digital beamforming. It is analgorithm with strict constraint minimum power sampling matrix gradient (CSMG). It has merits ofboth traditional sampling mains gradient (SMG) and strictly constrained minimum power adaptivealgorithm. 16-element uniform circular array is selected. Some results of computer simulation aregiven. The results indicate that the beam direction will change with constraint angle and can beadaptable to adjust zero very well. The algorithm is fast convergent.
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