Optimal wavelet design for TOA ranging in the presence of synchronization error

Abstract

In this paper accurate ranging using flexible wavelet packet modulation is addressed. Wavelet Packet modulated (WPM) signal can be used for joint communications and ranging (two functionalities in one technology). Using wavelet technology the optimal signal will be designed for the time-of-arrival (TOA) or time-difference-of-arrival (TDOA) ranging when there exists a synchronization error. The focus will be on the wavelet packet modulated signal as wavelets have lower sensitivity to distortion and interference as a result of synchronization error. Further advantage of wavelet technology lies in its flexibility to customize and shape the characteristics of the waveforms for context-aware communication and ranging purposes.