Sampling design for weak signal detection in SIRP noise

In this paper, we present a sampling design for weak signal detection in additive spherically invariant random process (SIRP) noise. Our approach for the design of sampling schemes is based on the class of Ali-Silvey distance measures. A design objective function for this problem is developed. This objective function is maximized to obtain the sampling scheme for the detection problem under consideration. Two examples are presented to illustrate our sampling design. Numerical results show that our sampling design outperforms the uniform sampling. It is also numerically shown that the sampling design is insensitive to the statistics (the characteristic probability density function) of the SIRP noise samples.