Level crossing rate in terms of the characteristic function: A new approach for calculating the fading rate in diversity systems

Document Type

Article

Publication Date

9-1-2002

Abstract

The level crossing rate (LCR) of a random process conveys useful information about the underlying process, and is of interest in diverse engineering fields. In wireless communications, it is related to the system characteristics such as handoff, outage probability, fading rate, average duration of fades, velocity (or maximum Doppler shift) of the mobile, and the effect of diversity on fading. The LCR formula was originally derived by Rice in terms of the joint probability density function (pdf) of the underlying process and its time derivative. In this letter, we express the LCR in terms of the joint characteristic function (cf). This new formula is useful for many cases where the joint cf is simpler to derive than the associated joint pdf. As an application and for a direct-sequence code-division multiple-access system, the fading rate at the output of a RAKE receiver with either maximal ratio combiner or postdetection equal gain combiner, operating over a frequency-selective fading channel with different path statistics, is easily calculated using the new cf-based LCR formula.

Identifier

0036747141 (Scopus)

Publication Title

IEEE Transactions on Communications

External Full Text Location

https://doi.org/10.1109/TCOMM.2002.802538

ISSN

00906778

First Page

1397

Last Page

1400

Issue

9

Volume

50

Grant

9979443

Fund Ref

National Science Foundation

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