An alternative method for analyzing level crossing rate and average outage duration in switched combining systems

Shu Zhang · Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University · 2010

The average level crossing rate(LCR) is an important performance measure for a fast fading channel,yet the current method has drawbacks.In response,an alternative method for calculating an average LCR was developed.It was applied to switched combining systems operating over multiple independent generalized fading paths which are not necessarily identically distributed.This alternative method was based on the total probability theorem,and was an extension of the Rice formula.It can be applied to dual-branch switch-and-stay combining(DB-SSC),switch-and-examine combining(SEC) and switch-and-examine combining with post-selection(SECps) systems over any type of fading channels.The general closed-form expressions for the LCRs of these systems with independent branches were obtained using this alternative method.When all branches were independent and identically distributed(i.i.d.),average outage duration(AOD) was also given in general closed-form.Compared with the traditional method which uses the Rice formula directly,this alternative method is simpler and has better generalization.Closed-form expressions of the LCR and AOD for SEC and SECps were obtained for the first time using this alternative method.

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