Patent ID: 8207888

Claim:
A radar system comprising: An electronic transmitter adapted to emit a non-linear swept electromagnetic FM signal, said non-linear swept electromagnetic FM signal having a waveform mathematically described by a second-order-polynomial; at least one reflected signal electronic sensor associated with an object whose range and closing velocity to a target will be estimated, at least one of said at least one reflected signal electronic sensor being adapted to receive a reflected signal, said reflected signal corresponding to a non-linear swept electromagnetic signal having been reflected from said target; at least one electronic waveform processor operatively associated with said at least one of said at least one reflected signal electronic sensor and configured and programmed to process an apparent emitted signal and said reflected signal to generate an estimate of said range from said object to said target and an estimate of said closing velocity of said object to said target; and a plurality of computer readable instruction modules executably associated with said at least one electronic waveform processor, said plurality of computer readable instruction modules including: at least one Doppler Adjust module; when run by said electronic waveform processor, said Doppler Adjust module causing said at least one electronic waveform processor to generate an Adjusted Doppler function for at least one sweep; said Adjusted Doppler function representing apparent Doppler shift derived using a non-varying range value; and at least one Linear Regression module; when run, said Linear Regression module causing said at least one electronic waveform processor to perform linear regression on said Adjusted Doppler function to produce a best-fit Linearly Regressed function, the slope of said Linearly Regressed function representing a first estimate of said range of said object to said target; a y-intercept of said Linearly Regressed function, when divided by krng, representing a first estimate of closing velocity of said object to said target; the variance of said best-fit Linearly Regressed function representing Doppler variance.