This appendix reviews some basic statistics which are commonly used in mobile communications and signal processing, and is associated with Chapter 2. The results are well known and are drawn from several sources such as the classical text by Papoulis (1965) and more recent texts such as Kay (1993). The probability of the real random variable z being less than or equal to a value Z, is written P(z<Z) = J pz(x)dx, (B.l) J - oo where Pχ is the cumulative density function (cdf), also called the cumulative prob ability function (cpf), and pz{z) is the probability density function (pdf); k random variables are statistically independent if their joint pdf, pz(x), factors into the product of the individual random variable pdfs: Pziχ) = Pzι (xi)Pz2(χ2) ....Pzkiχk) (B-2) where z and x are the set of zι and x,-, respectively.

Inspec keywords: statistical analysis; probability; mobile communication

Other keywords: signal processing; mobile communications; probability; statistics; random variable

Subjects: Mobile radio systems