Abstract: In this paper we use bit-serial 'local sorting' to perform the threshold Boolean filtering, based on running processing without ordering the input data. The proposed architecture is simple and suitable for realization. It is shown, that introduced homogeneous generalized threshold Boolean filters can be represented as a threshold Boolean filter on the appended input signal window, and can be computed in the same architectures. Also homogeneous generalized threshold Boolean filters are represented as linear combinations of homogeneous generalized stack filters.!13
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