Abstract
The error probability and capacity of a time-hopping ultra-wideband (UWB) communication system with receive diversity are investigated. We consider pulse amplitude modulation (PAM) and pulse-position modulation (PPM) over additive white Gaussian channels for a single-user system. A multiuser environment with PPM is also investigated. It is shown that the communication distance and error performance are improved by employing receive diversity. The channel capacity of PPM and PAM is determined subject to the power constraints of FCC part 15 rules to illustrate the relationship between reliable communication distance and signal-to-noise ratio. The error probability with PAM and receive diversity is derived for the single-user case. The error probability and performance bounds with PPM are derived for both the single-user and multiuser cases.
Highlights
An ultra-wideband (UWB) [1] communication system transmits information using ultrashort impulses that spread the energy of the signal typically from near DC to several GHz
The exact error probability and performance bounds are derived for additive white Gaussian noise (AWGN) channels with pulse amplitude modulation (PAM) and pulse-position modulation (PPM) in a single-user environment, as well as PPM in a multiple access environment
The signal-to-noise ratio (SNR) threshold to achieve full capacity is improved as the receive diversity increases, where the SNR is defined as Eg /N0
Summary
An ultra-wideband (UWB) [1] communication system transmits information using ultrashort impulses that spread the energy of the signal typically from near DC to several GHz. Receive diversity is considered for a timehopping UWB communication system to improve the error performance, communication distance, and capacity. Receive diversity can be achieved using either a RAKE receiver or multiple receive antennas Both PAM and PPM are considered for a single-user environment, and a multiuser environment is investigated for PPM. The exact error probability and performance bounds are derived for additive white Gaussian noise (AWGN) channels with PAM and PPM in a single-user environment, as well as PPM in a multiple access environment. The capacity and error probability analysis for PPM and PAM with receive diversity are given in Section 3 for a single-user environment.
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