Efficient digital method of and system for determining the instantaneous phase and amplitude of a vibratory accelerometer and other sensors
First Claim
1. A method of determining the instantaneous amplitude (a) and phase (φ
- ) of a sinusoid comprising;
A. digitizing said sinusoid to form a first signal which is the in-phase component (I) of said sinusoid;
B. introducing a phase shift into said digitized sinusoid to produce the quadrature component (Q) of said sinusoid;
C. processing said in-phase and quadrature components to compute the instantaneous phase (φ
) of said sinusoid; and
D. processing said in-phase and quadrature components to compute the instantaneous amplitude (a) of said sinusoid;
1 Assignment
0 Petitions
Accused Products
Abstract
A system for determining the instantaneous amplitude (a) and phase (φ) of an analog sinusoid includes a sensor which produces the analog sinusoid output in response to the measurement of a parameter, an analog-to-digital converter which receives the analog sinusoid from the sensor and converts the analog sinusoid to a digital sinusoid, a delay device which receives the digital sinusoid and produces an in-phase signal (I) associated with the digital sinusoid, a transformer which receives the digital sinusoid and produces a quadrature signal (Q) associated with the digital sinusoid by introducing a phase shift plus a delay to the digital sinusoid, an amplitude computation device which receives the in-phase (I) and quadrature (Q) signals and computes the instantaneous amplitude (a) of the digital sinusoid by processing the in-phase (I) and quadrature (Q) signals according to the equation a={square root}{square root over ((Q2+I2))} and a phase computation device which receives the in-phase (I) and quadrature (Q) signals and computes the instantaneous phase (φ) of the digital sinusoid by processing the in-phase (I) and quadrature (Q) signals according to the equation φ=tan−1(Q/I).
43 Citations
40 Claims
-
1. A method of determining the instantaneous amplitude (a) and phase (φ
- ) of a sinusoid comprising;
A. digitizing said sinusoid to form a first signal which is the in-phase component (I) of said sinusoid;
B. introducing a phase shift into said digitized sinusoid to produce the quadrature component (Q) of said sinusoid;
C. processing said in-phase and quadrature components to compute the instantaneous phase (φ
) of said sinusoid; and
D. processing said in-phase and quadrature components to compute the instantaneous amplitude (a) of said sinusoid;
- View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
- ) of a sinusoid comprising;
-
12. A system for determining the instantaneous phase and amplitude of an analog sinusoid comprising:
-
a sensor which produces said analog sinusoid output in response to the measurement of a parameter;
an analog-to-digital converter which receives said analog sinusoid from the sensor and converts said analog sinusoid to a digital sinusoid which represents the in-phase component (I) of said sinusoid;
a phase shift device which receives said digital sinusoid and produces the quadrature component (Q) of said digital sinusoid by introducing a phase shift to said digital sinusoid;
an amplitude computation device which receives said in-phase (I) and quadrature (Q) components and computes the instantaneous amplitude (a) of said digital sinusoid; and
a phase computation device which receives said in-phase (I) and quadrature (Q) components and computes the instantaneous phase (φ
) of said digital sinusoid. - View Dependent Claims (13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23)
-
-
24. A system for determining the instantaneous amplitude (a) and phase (φ
- ) of an analog sinusoid comprising;
a sensor which produces said analog sinusoid output in response to the measurement of a parameter;
an analog-to-digital converter which receives said analog sinusoid from the sensor and converts said analog sinusoid to a digital sinusoid to form the in-phase component (I) of said sinusoid;
a Hilbert transformer approximation device which receives said digital sinusoid and produces the quadrature component (Q) of said digital sinusoid by introducing a phase shift to said digital sinusoid;
an amplitude computation device which receives said in-phase (I) and quadrature (Q) components and computes the instantaneous amplitude (a) of said digital sinusoid by processing said in-phase (I) and quadrature (Q) components according to the equation a={square root}{square root over ((Q2+I2))}; and
a phase computation device which receives said in-phase (I) and quadrature (Q) components and computes the instantaneous phase (φ
) of said digital sinusoid by processing said in-phase (I) and quadrature (Q) components according to the equation φ
=tan−
1(Q/I). - View Dependent Claims (25, 26)
- ) of an analog sinusoid comprising;
-
27. A system for determining the instantaneous amplitude and phase of an analog sinusoid comprising:
-
a sensor which produces said analog sinusoid output in response to the measurement of a parameter;
an analog-to-digital converter which receives said analog sinusoid from the sensor and converts said analog sinusoid to a digital sinusoid sinusoid to form the in-phase component (I) of said sinusoid;
a Hilbert transformer approximation device which receives said digital sinusoid and produces the quadrature component (Q) of said digital sinusoid by introducing a phase shift to said digital sinusoid;
an amplitude computation device which receives said in-phase (I) and quadrature (Q) components and computes the instantaneous amplitude (a) of said digital -sinusoid by processing said in-phase (I) and quadrature (Q) components according to the CORDIC algorithm; and
a phase computation device which receives said in-phase (I) and quadrature (Q) components and computes the instantaneous phase (φ
) of said digital sinusoid by processing said in-phase (I) and quadrature (Q) components according to the CORDIC algorithm. - View Dependent Claims (28, 29, 30, 40)
-
-
31. A method of determining the amplitude (a) and phase ((p) of a sinusoid comprising:
-
A. measuring a parameter with a sensor;
B. generating an analog sinusoid representative of said parameter;
C. digitizing said analog sinusoid to produce a digital sinusoid;
D. filtering said digital sinusoid to attenuate out-of-band noise in said digital sinusoid;
E. producing an in-phase signal (I) associated with said digital sinusoid;
F. introducing a phase shift into said digital sinusoid to produce a quadrature signal (Q) associated with said digital sinusoid;
G. processing said in-phase (I) and quadrature (Q) signals to compute said amplitude (a) of said digital sinusoid by applying the equation a={square root}{square root over ((Q2+I2))}; and
H. processing said in-phase (I) and quadrature (Q) signals to compute said phase (φ
) of said digital sinusoid by applying the equation φ
=tan−
1(Q/I). - View Dependent Claims (32, 33, 34, 35)
-
-
36. A method of determining the amplitude (a) and phase (p) of a sinusoid comprising:
-
A. measuring a parameter of an object with a sensor;
B. generating an analog sinusoid representative of said parameter;
C. digitizing said analog sinusoid to produce a digital sinusoid;
D. filtering said digital sinusoid to attenuate out-of-band noise in said digital sinusoid;
E. introducing a delay into said digital sinusoid to produce an in-phase signal (I) associated with said digital sinusoid;
F. performing a Hilbert transform approximation of said digital sinusoid to introduce a phase shift plus delay into said digital sinusoid, thereby producing a quadrature signal (Q) associated with said digital sinusoid;
G. processing said in-phase (I) and quadrature (Q) signals to compute said amplitude (a) of said digital sinusoid by applying the equation a={square root}{square root over ((Q2+I2))}; and
H. processing said in-phase (I) and quadrature (Q) signals to compute said phase (φ
) of said digital sinusoid by applying the equation φ
=tan−
1(Q/I). - View Dependent Claims (37)
-
-
38. A method of determining the amplitude (a) and phase (φ
- ) of a sinusoid comprising;
A. measuring a parameter of an object with a sensor;
B. generating an analog sinusoid representative of said parameter;
C. digitizing said analog sinusoid to produce a digital sinusoid;
D. filtering said digital sinusoid to attenuate out-of-band noise in said digital sinusoid;
E. producing an in-phase signal (I) associated with said digital sinusoid;
F. introducing a phase shift into said digital sinusoid, thereby producing a quadrature signal (Q) associated with said digital sinusoid;
G. processing said in-phase (I) and quadrature (Q) signals to compute said amplitude (a) of said digital sinusoid according to the CORDIC algorithm; and
H. processing said in-phase (I) and quadrature (Q) signals to compute said phase (φ
) of said digital sinusoid according to the CORDIC algorithm. - View Dependent Claims (39)
- ) of a sinusoid comprising;
Specification