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f n wireless communications, spatial (via antenna arrays) and temporal (excess bandwidth) diversit?. ma>-be esploit,ed to simult,aiieously equalize a user of interest, while canceling or reducing (cochannel) interfering nsers (CCI). This can be dour using the 1nte.rference Canceling Matched Filter (ICMF) which we int,roduced previously. The ICMF depends on t,he channel for t,lie user of interest) t,o be estimated with a training sequence, and contains a blind interference cancellatioii part. The simulations show that, significa,nt improvement,s may result, from t,hr exploit,a,tion of the prior knowledge of tlie transmission pulse shape.