Models for Incomplete Channel Knowledge

  • Andreas Gründinger
Part of the Foundations in Signal Processing, Communications and Networking book series (SIGNAL, volume 22)


The quality of the channel knowledge is generally asymmetric at the receivers’ and the transmitter’s side of a vector BC. The receivers can exploit accurate knowledge about the received signals’ autocorrelation and variance for equalization and decoding. Achieving a similar quality of transmitter channel knowledge for downlink wireless communication is unrealistic when the channel is subject to fading (Goldsmith, Wireless communications. Cambridge University Press, Cambridge, 2005, Chapter 2). Transmitter CSI is gained via pilot-based training (e.g., see Tong et al. (IEEE Signal Process Mag 21:12, 2004)), either in the uplink for time division duplex (TDD) systems or in the downlink for systems in frequency division duplex (FDD) mode with feedback. This results in errors between the channel and the transmitter’s estimate. For TDD systems, the errors are due to imperfect uplink channel estimation and delayed utilization of the estimates. For the FDD model, the errors stem from estimation at the receivers and the limited feedback to the transmitter. Feedback delays additionally degrade the channel information.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Andreas Gründinger
    • 1
  1. 1.ErgoldingGermany

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