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This paper considers adaptive jammer rejection algorithms applicable to wideband stretch-processed systems. Specifically, sub-banding algorithms in which the received data is first pre-processed into narrow frequency bins are studied. In conventional sub-band STAP, the received signal is divided into narrowband frequency bins, following which the interference is adaptively rejected in each bin. This usually requires that a different weight vector be computed for each sub-band. Alternatively, the received data can be pre-processed so that every sub-band is shifted to a common central sub-band. This enables computation of a single weight vector that can be applied to all of the shifted sub-bands. Simulation results are presented to assess the behavior and performance of these algorithms.