Performance analysis of the biased square-law sequential detector with signal present

A new method is proposed to analyze the performance of a biased square-law sequential detector when a signal is present. Starting from Albert's (1954) integral equations, the method evaluates the detection probability and the moments of the sample number very efficiently and accurately, using polynomial interpolations. Numerical examples show that the new method is much more efficient and/or accurate than the known methods. In addition, the analytical results are substantiated by computer simulations and Kendall's (1965) exact results for the cases of with and without signal present, respectively.