Methods and systems for improved measurement, entity and parameter estimation, and path propagation effect measurement and mitigation in source signal separation
A method of processing a signal includes taking a signal recorded by a plurality of signal recorders, applying at least one super-resolution technique to the signal to produce an oscillator peak representation of the signal comprising a plurality of frequency components for a plurality of oscillator peaks, computing at least one Cross Channel Complex Spectral Phase Evolution (XCSPE) attribute for the signal to produce a measure of a spatial evolution of the plurality of oscillator peaks between the signal, identifying a known predicted XCSPE curve (PXC) trace corresponding to the frequency components and at least one XCSPE attribute of the plurality of oscillator peaks and utilizing the identified PXC trace to determine a spatial attribute corresponding to an origin of the signal.
1. A method of processing a signal comprising:
taking a signal recorded by a plurality of signal recorders;
applying at least one super-resolution technique drawn from a Complex Spectral Phase Evolution (CSPE) family of super-resolution techniques to the signal to produce an oscillator peak representation of the signal comprising a plurality of frequency components for a plurality of oscillator peaks;
computing at least one Cross Channel Complex Spectral Phase Evolution (XCSPE) attribute for the signal to produce a measure of a spatial evolution of the plurality of oscillator peaks between the signal recorders;
identifying a predicted XCSPE curve (PXC) trace corresponding to the frequency components of the oscillator peaks and at least one XCSPE attribute of the plurality of oscillator peaks; and
utilizing the identified PXC trace to determine a spatial attribute corresponding to an origin of the signal for use in locating a spatial position of the signal;
wherein identifying the PXC trace comprises:
considering a plurality of possible PXC traces; and
measuring a distance between each of the plurality of the oscillator peaks and each of the plurality of possible PXC traces.
2. The method of claim 1 wherein the distance is the shorter of a direct distance and a wrap around distance.
3. The method of claim 1 wherein a subset of the plurality of possible PXC traces are utilized after a pre-selection process based, at least in part, on the geometry of the microphones.
4. The method of claim 1 wherein a subset of the plurality of possible PXC traces are utilized after a pre-selection process based, at least in part, on an attribute of the plurality of oscillator peaks.
5. The method of claim 1 wherein the at least one super-resolution technique is selected from the group consisting of XCSPE analysis and amplitude deviation correction for sigma.
6. The method of claim 1 wherein the spatial attribute is a direction.
7. A system comprising:
a plurality of signal recorders configured to receive a signal; and
a non-transient computer readable medium storing instructions that when executed by a processor cause the processor to:
apply at least one super-resolution technique drawn from a Complex Spectral Phase Evolution (CSPE) family of super-resolution techniques to the signal to produce an oscillator peak representation of the signal comprising a plurality of frequency components for a plurality of oscillator peaks;
compute at least one Cross Channel Complex Spectral Phase Evolution (XCSPE) attribute for the signal to produce a measure of a spatial evolution of the plurality of oscillator peaks between the signal recorders;
identify a predicted XCSPE curve (PXC) trace corresponding to the frequency components of the oscillator peaks and at least one XCSPE attribute of the plurality of oscillator peaks; and
utilize the identified PXC trace to determine a spatial attribute corresponding to an origin of the signal for use in locating a spatial position of the signal;
wherein identifying the PXC trace comprises:
considering a plurality of possible PXC traces; and
measuring a distance between each of the plurality of the oscillator peaks and each of the plurality of possible PXC traces.
8. The system of claim 7 wherein the distance is the shorter of a direct distance and a wrap around distance.
9. The system of claim 7 wherein a subset of the plurality of possible PXC traces are utilized after a pre-selection process based, at least in part, on the geometry of the microphones.
10. The system of claim 7 wherein a subset of the plurality of possible PXC traces are utilized after a pre-selection process based, at least in part, on an attribute of the plurality of oscillator peaks.
11. The system of claim 7 wherein the at least one super-resolution technique is selected from the group consisting of XCSPE analysis and amplitude deviation correction for sigma.
12. The system of claim 7 wherein the spatial attribute is a direction.
13. The method of claim 1 wherein the plurality of signal recorders are acoustic recorders.