The search for an optimum mother wavelet for the detection of transient signals can be made tractable if one realizes that all transients are generated by a physical system. The canonical model for many transients can be derived from a simple parallel resonant circuit. It is shown that the impulse response from this circuit acts as a mother wavelet and parameterizes the circuit via its resonant frequency and quality factor. Once the family of transients is defined, a wavelet-based estimator correlator is used to detect and classify transient signals with unknown frequency and arrival times.
Wavelet Applications in Signal and Image Processing IV
- Pub Date:
- October 1996