Performance of MLWD for OMWM

Mohamed Seif

The error performance of a OMWM is

Assume that,i: corresponds to the path through trellis This term can be written as

Motivation

A path can be defined by a set of states

A Simple error event is an error event that begins at time k and has length

Simple error events

Fig. A simple error event

Consider if, , composed of one simple error event at time k and length

+

Error events with two or more events are denoted compound errors

Any word error will not be included.

Using simple error events, a tighter union bound is given as

PWEP is given as Where,

Thus, the tighter union bound becomes