On the Achievable Rate of Stationary Fading Channels

1. Front Matter

   Pages i-xiv

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2. Introduction

   • Meik Dörpinghaus

   Pages 1-14

3. Discrete-Time Flat-Fading System Model

   • Meik Dörpinghaus

   Pages 15-25

4. Bounds on the Achievable Rate of a Flat-Fading Channel

   • Meik Dörpinghaus

   Pages 27-60

5. Bounds on the Achievable Rate of a Flat-Fading Channel Based on Prediction

   • Meik Dörpinghaus

   Pages 61-80

6. Pilot Based Synchronized Detection

   • Meik Dörpinghaus

   Pages 81-99

7. Iterative Code-Aided Synchronized Detection

   • Meik Dörpinghaus

   Pages 101-135

8. Joint Processing of Pilot and Data Symbols

   • Meik Dörpinghaus

   Pages 137-151

9. MIMO Flat-Fading Channels

   • Meik Dörpinghaus

   Pages 153-188

10. Frequency-Selective Channels

    • Meik Dörpinghaus

    Pages 189-224

11. Optimum Discrete Signaling

    • Meik Dörpinghaus

    Pages 225-241

12. Conclusion

    • Meik Dörpinghaus

    Pages 243-250

13. Back Matter

    Pages 251-307

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This volumes discusses various aspects regarding the capacity/achievable data rate of stationary Rayleigh fading channels. First, it analyses bounds on the achievable data rate with zero-mean proper Gaussian input symbols, which are capacity achieving in the coherent case, i.e., in case of perfect channel knowledge at the receiver. These bounds are tight in the sense that the difference between the upper and the lower bound is bounded for all SNRs. The lower bound converges to the coherent capacity for asymptotically small channel dynamics. Furthermore, these bounds are extended to the case of multiple-input multiple-output (MIMO) channels and to the case of frequency selective channels. In a further part, the present work studies the achievable rate with receivers based on synchronized detection and a code-aided channel estimation. For a specific type of such a receiver an approximate upper bound on the achievable rate is derived. The comparison of this approximate upper bound and the achievable data rate with receivers using synchronized detection based on a solely pilot based channel estimation gives an approximate upper bound on the possible gain by using this kind of code-aided channel estimation in comparison to the conventional receiver using a solely pilot based channel estimation. In addition, the achievable data rate with an optimal joint processing of pilot and data symbols is studied and a lower bound on the achievable rate for this case is derived. In this context, it is also shown which part of the mutual information of the transmitter and the receiver is discarded when using the conventional receiver with synchronized detection based on a solely pilot based channel estimation.

• Kullback-Leibler distance
• MIMO channels
• Rayleigh flat-fading
• channel estimation
• discrete signaling
• frequency-selective channels
• mobile communications
• stochastic channel fading
• synchronized detection
• wireless networks

• , Institute for Theoretical Information, RWTH Aachen, Aachen, Germany

  Meik Dörpinghaus

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