Gaborized MCS for Precise Code Phase Offset Estimation in Radionavigation

In radar and radionavigation systems, waveform design optimization has mostly focused on Gabor bandwidth (GB), as a metric to infer code phase offset estimation accuracy. While optimization algorithms have maximized GB w.r.t. to specific design parameters and receiver bandwidth, they lack closedform solutions for pulse shapes. Inspired by Gabor pulse theory, this paper presents a family of waveforms shaping multi-level coded spreading (MCS) coefficients with a Gaussian envelope, namely the Gaborized-MCS (G-MCS). These waveforms achieve nearly optimal GB performance, reflecting the trend of current optimization techniques to agnostically converge to such pulse shapes. Numerical analyses characterize the GB of the proposed signals across varying receiver bandwidths and compare them to optimized waveforms and legacy binary offset carrier modulations largely adopted in Global Navigation Satellite Systems.