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If a signal can be predicted exactly for a particular time span, it is said to be deterministic. 3). cls T1: IML March 3, 2006 11:13 SIGNAL PROCESSING OF RANDOM PHYSIOLOGICAL SIGNALS By definition, a random signal is an unpredictable signal; therefore, there is always some element of chance associated with it. 6). 4) where θ is a random variable uniformly distributed between 0 and 2π. 5) where θ and A are independent random variables with known distributions. 6) where A is a noise-like signal with no particular deterministic structure.
Ensemble method : Where the assumption is that a large number of systems equipped with identical instruments are available and that a set of instantaneous values from multiple channels are obtained at the same time. 2. Extension-in-time method (Ergodic Testing) : Reduces the number of observations on a system to a single long record taken over an extended period of time. 2 ENSEMBLE METHOD TO TEST FOR STATIONARITY Parameters derived from the Ensemble method will be expressed as x(t). As seen in Fig.
4) where θ is a random variable uniformly distributed between 0 and 2π. 5) where θ and A are independent random variables with known distributions. 6) where A is a noise-like signal with no particular deterministic structure. ” Only stationary random processes will be discussed, since available standard statistical analysis techniques are applicable only to stationary random processes. ” The two methods used in obtaining the statistical properties of any random process include the following: 1.