Patent ID: 8572010

Claim:
A method of deciding whether an observed received signal is a particular signal of interest (SOI), comprising the steps of: (a) providing a statistical model of the particular signal of interest and a statistical model of the environment when the particular signal of interest is not present; and (b) with a computer, processing the observed received signal in accordance with a decision rule that uses the provided statistical models to decide whether the observed received signal is the particular signal of interest; wherein the decision rule is: decision = { SOI if ⁢ ⁢ LLR ⁡ ( y ) > + λ ~ SOI if ⁢ ⁢ LLR ⁡ ( y ) < - λ unsure otherwise ⁢ ⁢ where ⁢ ⁢ LLR ⁡ ( y ) = log ⁢ P ⁡ ( a 1 ⁡ ( y ) , a 2 ⁡ ( y ) , … | SOI ) P ⁡ ( a 1 ⁡ ( y ) , a 2 ⁡ ( y ) , … | ~ SOI ) , where LLR is log likelihood ratio, P denotes a probability, a 1 (y) and a 2 (y) are functions of first and second attributes of the observed signal y in a sequential order that said attribute functions are presented for computation of LLR(y), and +λ and −λ are real numbers, wherein the statistical model of the particular signal of interest includes functions of attributes that individually have a probability distribution function f 1 when the observed received signal is the particular signal of interest such that KL ( f 1 ,f 0 )>0, where f 0 is a probability distribution function of the respective individual attribute when the observed received signal is not a signal of interest; and wherein at least one of the attribute functions is expressed as: a ( y C ,y R ) f c =f c a ( y C ,y R )Δ f=Δf a ( y C ,y R ) t c =t c a ( y C ,y R )Δ t=Δt, where y C is a sample of the observed signal received by a commutated element of a commutated antenna array, y R is a sample of the observed signal received by a commutated element of the antenna array, f is frequency, and t is time.