A recursive algorithm for bearings-only tracking with signal time delay

For the bearings-only tracking (BOT) problem with signal propagation time delay, a recursive algorithm is proposed. Based on the analysis of signal time delay effect, an online parameter estimation (OPE) method is presented, which can be embedded in nonlinear filters to recursively estimate the target state with delayed measurements. The nonlinear filter used in this paper is a combination of the kernel-based filter (KBF) with an improved range parameterized (IRP) method, which manages subintervals according to their corresponding weights. The effectiveness and advantages of our proposed method compared with two existing methods are demonstrated by simulation examples.