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We propose the use of multiple receive antennas for ultra-wide band impulse radio systems, using pattern code modulation (PACM). We show that we can obtain a linear growth in transmission capacity if we use multiple receivers, provided that these receivers are separated sufficiently. To analyze such a channel capacity of the impulse radio system, we model the multiple access interference as a filtered Poisson shot noise process. We use a convolution formula to study the amplitude distribution, and therefore find the probability of false and miss detection of a CDMA pattern. We find the capacity bounds and give some example, we can see that they converge and the bound are quire tight. Using the formula we get, we continue to show that we can increase the multiple access capacity linearly with the number of receive antennas.