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Lessons in Estimation Theory for Signal Processing, Communications, and Control, Second Edition by Jerry M. Mendel - Department of Electrical Engineering, University of Southern California, Los Angeles, California

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Lesson D Introduction to State-variable Models and Methods

Summary

State-variable models are widely used in controls, communications, and signal processing. This lesson provides a brief introduction to such models. To begin, it explains the notions of state, state variables, and state space. This culminates in what is meant by a state-variable model, a set of equations that describes the unique relations among a system’s input, output, and state.

Many state-variable representations can result in the same input/output system behavior. We obtain a number of important and useful state-variable representations for single-input, single-output, discrete, linear time-invariant systems, including moving average, autoregressive, and autoregressive moving ...

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