The false lock performance and false lock margin of I-Q Costas loops with matched-filter/sample-and-hold (S&H) arm filters are derived for the case of a random data input with symbols of arbitrary pulse shape.

A discrete-time model is proposed for continuous-time repetitive process. Model is calculated based on the zero order hold on input approach and trapezoidal approximation of output signal on input to the state equation. Numerical examples are presented. Copyright © 2005 IFAC