This paper proposes a new method to reduce the computational complexity of the frequency-domain GSC. In this proposed GSC structure, the column vectors of the blocking matrix constitute a series of bandpass filters, which decompose the impinging signals into components of specific DOA angles and frequencies and lead to band-limited spectra of blocking matrix outputs. When applying a DFT to each of these outputs, some of the frequency bins of the DFT are zero and can be omitted from the adaptive processing. This, together with partial adaptivity of the beamformer, results in a low computational complexity system.
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