On the Time-Varying Non-Linearity Effects Over the Spectrum of MIMO-OFDM Wireless Communications Systems

Abstract

Thisarticlepresentsanalyticalexpressionsthatcanbeusedintheevaluationoftheeffectsofanonlinear mobile (multi-path) channel on the spectrum of MIMO-OFDM communications systems, suchas4Gsystems(LTE,WiMax)andprobablythefuture5Gsystems.Thechannelismodeled byatime-varyingVolterraSeriesandtheMIMO-OFDMsignalbyacomplex,proper,wide-sense stationaryGaussianrandomprocesswithzeromean.Theresultingmathematicalexpressionsare appliedtoaspecificsituation,allowingaquantitativeevaluationoftheout-bandspectrumregrowth ofMIMO-OFDMwirelesscommunicationssystemsproducedbytheuseofnon-lineardevicesin mobilechannels. KEyWORDS MIMO-OFDM, Multi-Path Channels, Non-Linearity, Spectrum Regrowth, Wireless Systems