Given a time series measured (or generated) by a known or an unknown dynamical system we address a series of problems which can be considered as advanced signal processing tasks, namely: (1) section-wise approximation of the measured signal by pieces of trajectories from a chosen nonlinear dynamical system (model); (2) signal restoration when the measured signal has been corrupted e.g. by quant...

Conventional orthogonal signal generators (OSGs) employed in single-phase systems exhibit significant delay tracking the original signal. To tackle this problem, an OSG with fast synchronizing speed is proposed by applying principle of power definition sinusoids. The can accurately track input less than half cycle, which one cycle faster widely used OSGs. Depending on application, be modified t...

Generating aircraft position, velocity, and attitude along a reference trajectory is useful in many path mission planning applications. In applications simulating an inertial navigation system the body-frame accelerations angular rates are also required. This work presents method for generating smoothed continuous-curvature from series of waypoints using line, arc, clothoid, Fermat spiral segme...