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Titlebook: Introduction to Optimal Estimation; E. W. Kamen,J. K. Su Textbook 1999 Springer-Verlag London 1999 Signal.Software.Theorie.algorithm.devel

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a world renowned leader and author of several books in the .Biometrics refers to automated methods of recognizing a person based on physiological or behavioral characteristics. The .Encyclopedia of Biometrics. provides a comprehensive reference to topics in Biometrics, including concepts, modalitie
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Introduction,s the estimation of a signal based on measurements that relate to the signal, the estimation of the state of a system based on noisy measurements of the state, and the estimation of parameters in some functional relationship. The use of estimation techniques occurs in a very wide range of technology
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Random Signals and Systems with Random Inputs,ng .(.) requires that we use a random signal formulation. The signal .(.) may also include some random variation, and thus it too must be modeled in general as a random signal. The random signal formulation is generated by taking .(.) and .(.) to be random variables for each value of the time index
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The Wiener Filter, may have different forms, depending upon the constraints imposed on the filter (e.g., finite or infinite impulse response, and causality). For the given constraints, the Wiener filter produces the LMMSE estimate of a signal .(.).
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Recursive Estimation and the Kalman Filter,tainly, the noncausal Wiener filter cannot be employed for causal estimation. The causal Wiener filter requires all observations from the entire past: from time . = — ∞ to the present. Finally, the FIR filter uses only the . most-recent observations. At time ., the observation .(0) is discarded, at
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Kalman Filter Applications,we examine some applications employing the Kaiman filter. We first present the problem of tracking a single target based on noisy measurements. In this case, the SMM may be unstable, since the position of the target need not be zero-mean. We also consider three special cases of Kaiman filtering: the
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The Wiener Filter, may have different forms, depending upon the constraints imposed on the filter (e.g., finite or infinite impulse response, and causality). For the given constraints, the Wiener filter produces the LMMSE estimate of a signal .(.).
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