Optimum quantization for detection

Vector quantization is a procedure widely used in communications. The problem has been solved for the basic detection situation using the locally optimal procedure and with some constraints on the quantization scheme. It is stated in its widest sense, which consists of finding the partition of the observation space and the values associated with it in such a way that the detection performance is optimal. It is solved completely with the deflection criterion, and the solution introduces the concept of quantization by a likelihood ratio procedure. >