| 摘要 |
In one aspect, the invention provides a method implemented by an analog hardware circuit for fast frequency estimation. The analog circuit may be implemented a main oscillator circuit block [100], a P matrix circuit block [102], a K matrix circuit block[104], and a sigma integrator circuit block [106]. From input signals [108] having unknown frequency, amplitude and phase, the analog hardware circuit generates estimates of state variables x, x2, x3 of a model oscillator, and outputs a sinusoidal estimate [110] of the model oscillator signal. The analog hardware circuit generates the estimates by implementing in continuous time an extended Kalman filter that relates a generating frequency co of the model oscillator to x3 by an affine transformation ω=ω0+£x3, where k is a slope of a frequency error estimate and coo is a best estimate input signal frequency. |
| 主权项 |
1. A method implemented by an analog hardware circuit for fast frequency estimation, the method comprising:
receiving by the analog hardware circuit input signals having unknown frequency, amplitude and phase; generating by the analog hardware circuit from the input signals estimates of state variables x1, x2, x3 of a model oscillator; outputting by the analog hardware circuit a sinusoidal estimate of the model oscillator signal; wherein the analog hardware circuit generates the estimates by implementing in continuous time an extended Kalman filter; wherein the extended Kalman filter relates a generating frequency ω of the model oscillator to x3 by an affine transformation ω=ω0+kx3, where k is a slope of a frequency error estimate and ω0 is a best estimate input signal frequency. |
