Wireless LAN White Papers

The Complex Envelope of a Bandlimited OFDM Signal Converges Weakly to a Gaussian Random Process

Overview Orthogonal Frequency Division Multiplexing (OFDM) systems have been used extensively in wireless communications applications in recent years; thus, there is significant interest in analyzing the properties of the transmitted signal in such systems. In particular, a large amount of recent work has focused on analyzing the variation of the complex envelope of the transmitted signal and on designing methods to minimize this variation. In this paper, it is established that the complex envelope of a bandlimited uncoded OFDM signal converges weakly to a Gaussian random process as the number of subcarriers goes to infinity. This establishes that the properties of the OFDM signal will asymptotically approach those of a Gaussian random process over any finite time interval.

Further White Paper Details
PublisherUniversity of Massachusetts File FormatPDF
Date PublishedApril 2007 Downloads1
FormatWhite Papers   
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