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A Multi Frequency wide Band Rectangular Patch Micro strip Antenna with T Shaped Slot with shorting wall (RPMATSSSW) is designed on glass epoxy FR-4 substrate. The performance of this antenna is compared with that of a simple rectangular patch antenna. The simulated results for this antenna are optimized by varying position, length and width of T shaped slot and also by introducing two shorting wall. The results indicate that the designed structure resonate at various closely spaced frequencies (as shown in figure-4) which are use full for Ultra wide band (UWB) communication systems, which has been allocated IEEE 802.15.3a standard for specifies the frequency range 3.1GHz to 10.6GHz. The Modified antenna offers much improved bandwidth 76.71% at central resonance frequency 7.62GHz in comparison to a rectangular patch antenna (having band width 3.27%). The directivity of antenna also improves significantly at some of the resonance frequencies. [ABSTRACT FROM PUBLISHER]