First Sentence:
In this first chapter we focus on the basic, yet fundamental, problem of estimating an unobservable quantity from a collection of measurements in the least-mean-squares sense.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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block adaptive filters, lower triangularizes, subband adaptive filters, regressor sequence, affine projection algorithms, adaptive filter update, normalized lattice filter, regressor covariance matrix, estimated computational cost, other adaptive filters, resulting residual vector, successive regressors, regularized projection, whose eigenvalue spread, adaptive channel estimation, assuming real data, nonlinear decision device, white input data, adaptive filtering literature, different adaptive filters, sufficiently small degree, quantized environments, fullband filter, one real division, variance relation
Key Phrases - Capitalized Phrases (CAPs):
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Bibliographic Notes, Summary of Main Results, Step-size Figure, Fundamental Variance Relation, Fundamental Energy-Conservation Relation, Priori Error-Feedback Lattice Filter, Correlated Gaussian, Iteration Normalized, Significance of Data Structure, Estimation Given Dependent Observations, Posteriori Error-Feedback Lattice Filter, Time Figure, Design Examples, Iteration Array, Nonstationary Data Model, Priori-Based Robust Filters, General Time-Update Result, Minimum-Variance Unbiased Estimation, More Constrained, Regularized Projection Problems, Use Price, Algorithm Recursion, Causal Wiener-Hopf Filtering, Iteration Trajectory, Problem Cost
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