TABLE OF CONTENTS In this appendix we give an informal review of probability theory and other matters relevant to the modelling of clutter and its impact on radar systems. Our selection of topics is rather eclectic and our treatment pragmatic; the principal aim is to remove those obstacles to the evaluation of radar performance presented by any unfamiliarity with the concepts and practice involved in calculating probabilities. Much fuller accounts can be found in standard texts such as References [1] and [2]. By collecting together the relevant definitions and didactic developments, we also ensure a greater continuity and brevity in the main text.
Historically, probability theory grew out of a desire, on the part of the rich and indolent, to gain some advantage in the games of chance with which they filled their leisure hours. Even today this scenario provides us with a useful introduction to the subject. Simple die and coin tossing games introduce the concept of a random variable; common sense rules that allow us to characterise these games' outcomes provide the basis for manipulating probabilities and random variables. These ideas can be generalised to cover other situations, in particular those where the outcome (e.g. a received signal) takes a continuum of values and develops in time. Combining and processing these outcomes gives us new random variables; how do we characterise their properties? Once again we will move from simple discrete examples to the more complicated situations we encounter in practice. Particular attention will be paid to...
