  Spectral properties and performance of multi-pulse impulse radio
ultra-wideband systems with pulse-based polarity randomization are analyzed.
Instead of a single type of pulse transmitted in each frame, multiple types of
pulses are considered, which is shown to reduce the effects of multiple-access
interference. First, the spectral properties of a multi-pulse impulse radio
system is investigated. It is shown that the power spectral density is the
average of spectral contents of different pulse shapes. Then, approximate
closed-form expressions for bit error probability of a multi-pulse impulse
radio system are derived for RAKE receivers in asynchronous multiuser
environments. The theoretical and simulation results indicate that impulse
radio systems that are more robust against multiple-access interference than a
"classical" impulse radio system can be designed with multiple types of
ultra-wideband pulses.
