Distance properties of bandlimited channels

High speed data communication over channels with limited bandwidth results in intersymbol interference (ISI) at the receiver. This degrades the receiver error performance. An important parameter that determines the receiver error performance is the minimum Euclidean distance between two received sequences. Properties of the minimum Euclidean distance for ISI channels are considered in detail in this paper. Channel properties for worst distance properties and for maximum distance are investigated. A condition is established if the zeros of worst distance channels are to lie on the unit circle. It is shown that proves the existence of maximal distance channels for any length of interference