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A lower bound on the symbol error probability obtained with maximum likelihood sequence detection on the intersymbol interference channel is derived. It is recognised that the bound can be substantially improved by considering every possible transmitted sequence and not only the ones generating the well-known dmin2. Also, a method is devised which finds the additive components of the bound using a trellis search. It is demonstrated that for many channels, using a truncated upper bound as a lower bound yields incorrect results. This might be the case even if the upper bound is truncated to its first term corresponding to dmin2.
Inspec keywords: matched filters; intersymbol interference; telecommunication channels; phase shift keying; filtering theory; search problems; maximum likelihood detection; error statistics
Other keywords:
Subjects: Other topics in statistics; Signal detection; Modulation and coding methods; Filtering methods in signal processing