Estimating Incident and Reflected Wave Fields Using an Arbitrary Number of Wave Gauges

A method based on linear wave theory is presented to decompose one-dimensional wave fields into left and right-travelling components using an arbitrary number of wave gauges. Results are presented to show that an increased accuracy is possible if more than three wave gauges are used. The technique uses a least squares scheme with variable weights. Results will also be presented that indicate a further improvement in accuracy is possible by an appropriate choice of the weighting coefficients.