Optimal Speed and Range Estimation Using Dual Linear Frequency Modulated Signals

This work establishes the theoretical foundations to optimally design Dual Linear Frequency Modulated (DLMF) Signals intended to measure range and speed. Expressions are derived to obtain the optimal DLFM signal bandwidth and sampling frequency to perform accurate estimations with a minimum computational load, for a given maximum signal frequency and expected speed. In addition, a software simulator has been developed to validate the theoretical predictions by recreating the conditions of emission and reception of DLFM signals with different bandwidths, subject to the Doppler effect at different speeds. Simulations are performed for speeds between 1 and 5 m/s and signal bandwidths ranging from 100 Hz to 2000 Hz. These results show that the relative errors obtained for range and speed are below 2% for the optimal bandwidth and sampling frequency values predicted in this work.