As many different modal parameter estimation algorithms have evolved over the past twenty years, the ability to view all algorithms from a unified perspective becomes important in order to compare and contrast the numerical characteristics of each algorithm. An approach that recognizes the underlying matrix polynomial structure of the numerical algorithms is one approach that achieves this goal. The following development serves as a framework to most modal parameter estimation algorithms that have been documented in the literature. The overall approach is given as well as the fundamental or basic equation formulation for each method. While (here are many implementations of these algorithms in use, that may or may not utilize (he theoretical approach given here, the ability to view each method in a common framework allows the numerical characteristics of each algorithm to be identified as advantages and disadvantages of the various methods. Note that the practical or commercial implementation of these algorithms may be presented differently elsewhere in order to reflect the specific numerical solution utilized.
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