Some M-ary Sequence Designs for Pulse-Based UWB and Other Systems Based on PPM

Abstract

This paper describes various block waveform encoded (M-ary) signal designs using pulse-position-modulation (PPM) that are useful in pulse-based ultra wideband (UWB) communications in wireless, cable and twisted-pair wire channels, and in other systems based on PPM (not necessarily of UWB nature). This work is focused in four interesting M-ary PPM signal designs: Orthogonal, Equicorrelated, N-orthogonal, and Generic Correlation designs. The designs are based on algebraic constructions with favorable correlation properties, mapping the algebraic constructions into sequences of time shifts to get PPM signals with good correlation properties. For each signal design, the normalized correlation properties are described, the design method is given, and examples of the designs are presented.