Detecting a failure condition in a system using three-dimensional telemetric impulsional response surfaces

1. A method for facilitating high-sensitivity detection of an anomaly in telemetry data from an electronic system using a telemetric impulsional response fingerprint of the telemetry data, the method comprising:

applying a sudden impulse step change to one or more operational parameters of the electronic system during operation;

generating a three-dimensional (3D) telemetric impulsional response fingerprint (TIRF) surface from a dynamic response in the telemetry data associated with the one or more operational parameters to the sudden impulse step change; and

determining from the 3D TIRF surface whether the telemetry data contains an anomaly, which involves:

generating a reference 3D TIRF surface for the 3D TIRF surface;

computing a residual response surface between the 3D TIRF surface and the reference TIRF surface; and

determining from the residual response surface whether the telemetry data contains an anomaly.

2. The method of claim 1 , wherein generating the reference 3D TIRF surface for the 3D TIRF surface involves:

receiving a certified electronic system of the same type as the electronic system, wherein the certified electronic system is guaranteed to operate normally;

applying the same sudden impulse step change to the same one or more operational parameters of the certified electronic system; and

generating the reference 3D TIRF surface to the sudden impulse step change from a dynamic response in the corresponding telemetry data from the certified electronic system.

3. The method of claim 1 , wherein computing the residual response surface involves subtracting the reference 3D TIRF surface from the 3D TIRF surface.

4. The method of claim 1 , wherein generating the 3D TIRF surface involves:

producing a two-dimensional (2D) time-domain TIRF from the dynamic response in the telemetry data to the sudden impulse step change; and

computing a complex transfer function of the 2D time-domain TIRF, wherein the complex transfer function represents the 3D TIRF surface in a complex plane.

5. The method of claim 4 , wherein the complex transfer function can be obtained by using:

a z-transform; or

a Fourier-transform.

6. The method of claim 1 , wherein determining from the residual response surface whether the telemetry data contains an anomaly involves applying a 2D Sequential Probability Ratio Test (SPRT) to the residual response surface.

7. The method of claim 6 , wherein applying the 2D SPRT to the residual response surface involves performing two parallel one-dimensional (1D) SPRT tests along each direction of the residual response surface.

8. A computer-readable storage medium storing instructions that when executed by a computer cause the computer to perform a method for facilitating high-sensitivity detection of an anomaly in telemetry data from an electronic system using a telemetric impulsional response fingerprint of the telemetry data, the method comprising:

applying a sudden impulse step change to one or more operational parameters of the electronic system during operation;

generating a three-dimensional (3D) telemetric impulsional response fingerprint (TIRF) surface from a dynamic response in the telemetry data associated with the one or more operational parameters to the sudden impulse step change; and

determining from the 3D TIRF surface whether the telemetry data contains an anomaly, which involves:

generating a reference 3D TIRF surface for the 3D TIRF surface;

computing a residual response surface between the 3D TIRF surface and the reference TIRF surface; and

determining from the residual response surface whether the telemetry data contains an anomaly.

9. The computer-readable storage medium of claim 8 , wherein generating the reference 3D TIRF surface for the 3D TIRF surface involves:

receiving a certified electronic system of the same type as the electronic system, wherein the certified electronic system is guaranteed to operate normally;

applying the same sudden impulse step change to the same one or more operational parameters of the certified electronic system; and

generating the reference 3D TIRF surface to the sudden impulse step change from a dynamic response in the corresponding telemetry data from the certified electronic system.

10. The computer-readable storage medium of claim 8 , wherein computing the residual response surface involves subtracting the reference 3D TIRF surface from the 3D TIRF surface.

11. The computer-readable storage medium of claim 8 , wherein generating the 3D TIRF surface involves:

producing a two-dimensional (2D) time-domain TIRF from the dynamic response in the telemetry data to the sudden impulse step change; and

computing a complex transfer function of the 2D time-domain TIRF, wherein the complex transfer function represents the 3D TIRF surface in a complex plane.

12. The computer-readable storage medium of claim 11 , wherein the complex transfer function can be obtained by using:

a z-transform; or

a Fourier-transform.

13. The computer-readable storage medium of claim 8 , wherein determining from the residual response surface whether the telemetry data contains an anomaly involves applying a 2D Sequential Probability Ratio Test (SPRT) to the residual response surface.

14. The computer-readable storage medium of claim 13 , wherein applying the 2D SPRT to the residual response surface involves performing two parallel one-dimensional (1D) SPRT tests along each direction of the residual response surface.

15. An apparatus that facilitates high-sensitivity detection of an anomaly in telemetry data from an electronic system using a telemetric impulsional response fingerprint of the telemetry data, comprising:

an excitation mechanism configured to apply a sudden impulse step change to one or more operational parameters of the electronic system during operation;

a generation mechanism configured to generate a three-dimensional (3D) telemetric impulsional response fingerprint (TIRF) surface from a dynamic response in the telemetry data associated with the one or more operational parameters to the sudden impulse step change; and

a determination mechanism configured to determine from the 3D TIRF surface whether the telemetry data contains an anomaly,

wherein the determination mechanism is further configured to:

generate a reference 3D TIRF surface for the 3D TIRF surface;

compute a residual response surface between the 3D TIRF surface and the reference TIRF surface; and

determine from the residual response surface whether the telemetry data contains an anomaly.

16. The apparatus of claim 15 , wherein the determination mechanism is further configured to:

receive a certified electronic system of the same type as the electronic system, wherein the certified electronic system is guaranteed to operate normally;

apply the same sudden impulse step change to the same one or more operational parameters of the certified electronic system; and to

generate the reference 3D TIRF surface to the sudden impulse step change from a dynamic response in the corresponding telemetry data from the certified electronic system.

17. The apparatus of claim 15 , wherein the generation mechanism is configured to:

produce a two-dimensional (2D) time-domain TIRF from the dynamic response in the telemetry data to the sudden impulse step change; and to

compute a complex transfer function of the 2D time-domain TIRF, wherein the complex transfer function represents the 3D TIRF surface in a complex plane.

18. The apparatus of claim 15 , wherein the determination mechanism is further configured to apply a 2D Sequential Probability Ratio Test (SPRT) to the residual response surface.