Parameter estimation accuracy formulas

Formulas are presented for the maximum accuracy with which waveform parameters can be estimated in the presence of Gaussian noise. These formulas are presented in a form which is not widely known and which is very simple to use, especially in the white noise case. The unknown parameters may include the conventional ones, such as range, range rate, and acceleration, as well as others depending on target motion and configuration, properties of the transmission medium, or even sensor bias errors. A discussion is given of the conditions of validity of the formulas. The relationship between the approach followed here and other approaches to the parameter estimation problem is discussed.