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Multi-Carrier and Spread Spectrum Systems: From OFDM and MC ...

Multi-Carrier and Spread Spectrum Systems: From OFDM and MC ...

Multi-Carrier and Spread Spectrum Systems: From OFDM and MC ...

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Spatial Pre-Coding for <strong>Multi</strong>-<strong>Carrier</strong> Transmission 32910.10.011TxSDSPCQEGTEGTMRTBER0.0010.000110 −510 −60 1 2 3 4 5 6 7 8SNR in dBFigure 6-31 BER versus SNR for SPC, SD, EGT, <strong>and</strong> MRT in a Rayleigh fading environment(environment C) with channel coding, = 0.8<strong>OFDM</strong> symbols in the time direction. As a propagation channel the COST 207 typicalurban (TU) channel model is taken. The maximum velocity of the mobile user is 30 km/h,which corresponds to a Doppler frequency of 55.6 Hz. A classical Doppler spectrum isassumed.In Figure 6-32 the BER versus SNR for the spatial pre-coding schemes with channelestimation errors based on a two-dimensional channel estimation are shown. The sametotal pilot power is assigned to each scheme. The pre-coding schemes MRT, EGT, <strong>and</strong>SD need to estimate two channels at the receiver. Since SPC <strong>and</strong> 1Tx have to estimateonly one channel, they have twice the pilot power available for channel estimation perchannel compared to MRT, EGT, <strong>and</strong> SD. The channel estimation accuracy for MRT,EGT, <strong>and</strong> SD degrades compared to the accuracy with SPC <strong>and</strong> 1Tx. It can be observedthat, when taking imperfection due to channel estimation into account, the low complexSPC scheme outperforms SD <strong>and</strong> EGT <strong>and</strong> performs similar as the optimum MRT schemeat BERs ≤ 10 −4 [17].6.4.5.3 Effects of <strong>Spread</strong>ingFor spreading, Walsh–Hadamard codes of length L = 8 are used <strong>and</strong> eight data symbolsare superimposed, i.e. code division multiplexing (CDM) is applied. For data detection

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