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This paper presents an extension of the single antenna adaptive linear receiver (ALR) for CDMA transmission. We call the proposed multiuser receiver: the multidimensional adaptive linear receiver (MALR). Specifically, we investigate the spatially-diverse multi-tone interference (SD-MTI) excision performance of the MALR. We quantify the BER performance enhancement achieved by the MALR relative to the ALR for the case of relatively large frequency MTI occupation.