Two major technical challenges in the design of future broadband wireless n
etworks are the impairments of the propagation channel and the need for spe
ctral efficiency. To mitigate the channel impairments, orthogonal frequency
division multiplexing (OFDM) can be used, which transforms a frequency-sel
ective channel in a set of frequency-flat channels. On the other hand, to a
chieve higher spectral efficiency, space division multiple access (SDMA) ca
n be used, which reuses bandwidth by multiplexing signals based on their sp
atial signature. In this paper, we present a combined OFDM/SDMA approach th
at couples the capabilities of the two techniques to tackle both challenges
at once. We propose four algorithms, ranging from a low-complexity linear
minimum mean squared error (MR ISE) solution to the optimal maximum likelih
ood (ML) detector. By applying per-carrier successive interference cancella
tion (pcSIC), initially proposed for DS-CDMA, and introducing selective sta
te insertion (SI), we achieve a good tradeoff between performance and compl
exity. A case study demonstrates that, compared to the MR ISE approach, our
pcSIC-SI-OFDM/SDMA algorithm obtains a performance gain of 10 dB for a BER
of 10(-3), while it is only three times more complex. On the other hand, i
t is two orders of magnitude less complex than the ML approach, for a perfo
rmance penalty of only 2 dB.