On the degree of MIMO systems

Abstract— MIMO channels and wireless communications systems have generated a great deal of renewed interest in linear system theory. This paper presents two results. The first is a simple proof based on first principles, of the known fact that the McMillan degree of a causal M ×M MIMO system is at least as large as the degree of its determinant. The second is a new result which shows that the degree of the M × M system z−1 G(z) is equal to the degree of G(z) plus M if and only if the causal system G(z) has an anticausal inverse.1

• Type: Conference
• Year: 2007
• Where: ISCAS
• Authors: P. P. Vaidyanathan
• Keywords: ISCAS 2007, McMillan Degree, MIMO Channels, Wireless Communications Systems