On the general form of FIR MIMO biorthogonal partners

The concept of biorthogonal partners has previously been shown to provide a unifying link for various applications in digital signal processing. In particular, the multiple input multiple output (MIMO) case has been associated with several different contexts such as multiwavelet theory and MIMO channel equalization, especially with fractionally spaced equalizers. In most of these applications, the construction of FIR solutions is of high practical importance. In this paper we derive the most general form of FIR MIMO biorthogonal partners. These findings are tested on a MIMO channel equalization example.