Performance of UWB N-Orthogonal PPM in AWGN and Multipath Channels

This paper studies pulse-based M -ary ultrawideband communications analyzing both the symbol error rate (SER) and the information theoretic capacity C for single-link communications over both additive white Gaussian noise and multipath channels (taking into account random variations in both energy and correlation values). In particular, we consider M -ary N -orthogonal pulse-position-modulated (PPM) signals with numerical pulse-position optimization to exploit the negative values in the pulse correlation function. On one hand, the N -orthogonal PPM (N -OPPM) signals can accommodate a larger value of M than the nonoverlapping orthogonal PPM (OPPM) signals for a constant frame size and pulse width, allowing increasing the symbol transmission rate and/or the use of error correcting codes. However, N -OPPM requires a receiver with N correlators, while the receiver for OPPM requires one correlator. On the other hand, the pulse positions of the N -OPPM signals can be manipulated to shape the power spectrum density and decrease the level of the discrete components. However, this PPM manipulation changes the N -OPPM correlation properties of the signal set. At the same time, N -OPPM signals have equal or better performance than OPPM signals. More specifically, simulations show that for low values of M , the N -OPPM has lower SER and higher C than OPPM for the same signal-to-noise ratio (SNR), and that for larger values of M , it achieves similar SER and C . Hence, N -OPPM signals allow a tradeoff between transmission rate, signal performance, and receiver complexity.