Abstract
In Chapter 2, we considered systems with a single input and a single output (SISO). In this chapter, we extend the filtering theory to the matrix setting so that systems with multiple inputs and multiple outputs (MIMO) can be analyzed. To do this, we consider matrices (or vectors) of signals, i.e., each element in a matrix is a signal. Following the natural matrix extension of the “addition” operation ® and the “multiplication” operation *, we define the “addition” operation and the “multiplication” operation for matrices of signals. For instance, the “addition” and “multiplication” of the 2 x 2 matrices F and G are as follows:
and
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© 2000 Springer-Verlag London
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Chang, CS. (2000). Networks with Multiple Inputs and Outputs. In: Performance Guarantees in Communication Networks. Telecommunication Networks and Computer Systems. Springer, London. https://doi.org/10.1007/978-1-4471-0459-9_4
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DOI: https://doi.org/10.1007/978-1-4471-0459-9_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1147-4
Online ISBN: 978-1-4471-0459-9
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