Paper Info
Title
Binary Demodulation in Rayleigh Fading with Noisy Channel Estimates - Detector Structures and Performance
Abstract
In previous work, we studied the structure and per- formance of optimum maximum-likelihood receivers for binary antipodal and orthogonal signals in the presence of Gaussian- distributed channel estimation error and additive white Gaussian noise for flat Rayleigh fading channels. In this paper, we inves- tigate the structure and performance of these receivers for an application where Gaussian-distributed channel estimation error arises: minimum mean-square error channel estimation in quasi- static Rayleigh fading channels. Exact closed-form analytical expressions are derived for the average bit error probability (BEP). We quantify the impact of number of pilot symbols in each frame as well as the ratio of the power of the pilot symbol to the power of data on the average BEP. We derive conditions under which orthogonal signalling results in a lower average BEP compared with binary antipodal signalling. derived the structure of the optimum receiver, based on the maximum-likelihood (ML) criterion, for orthogonal signals and single-antenna reception. We found that in the presence of Gaussian-distributed channel estimation error and additive white Gaussian noise (AWGN) the optimum receiver for orthogonal signals is a linear combination of a matched filter and a square-law detector, which are optimum receivers for purely coherent and totally noncoherent receptions, respec- tively. Then, we derived exact theoretical expression for the average BEP of the the proposed optimum receiver in Rayleigh fading channels. In (12), the optimum receiver structure and average BEP expressions are derived for the general case of Gaussian- distributed channel estimation error. In this paper, by using the results of (12), we study the performance and structure the optimum receivers for MMSE channel estimators in quasi- static Rayleigh fading channels, as a special application where Gaussian-distributed channel estimation error arises. We quan- tify the effect of number of pilot symbols in each frame and the ratio of the power of the pilot symbol to the power of data on the average BEP. Analytical conditions are derived under which orthogonal modulation has a better performance than binary antipodal signalling in terms of average BEP. The remainder of the paper is organized as follows: Section II describes the system model, and in section III, we review the results of (12) on the structure and performance of optimum receivers for binary antipodal and orthogonal signallings in the presence of Gaussian channel estimation error. In section IV, the structure and performance of the optimum receivers are analyzed for MMSE channel estimation. Numerical results are presented in section V, and the conclusion is provided in section VI.
Year
DOI
Venue
2008
10.1109/VETECS.2008.246
VTC Spring
Keywords
Field
DocType
Gaussian channels,Rayleigh channels,demodulation,Gaussian distributed channel estimation error,Rayleigh fading channel,binary antipodal signalling,binary demodulation,bit error probability,detector performance,detector structure,minimum mean square error channel estimation,noisy channel estimate,optimum maximum-likelihood receiver,orthogonal signalling
Demodulation,Rayleigh fading,Fading,Communication channel,Electronic engineering,Antipodal point,Detector,Additive white Gaussian noise,Mathematics,Binary number
Conference
ISSN
ISBN
Citations 
1550-2252 E-ISBN : 978-1-4244-1645-5
978-1-4244-1645-5
1
PageRank 
References 
Authors
0.35
8
2
Name
Order
Citations
PageRank
Amir Ali Basri162.53
Teng Joon Lim22804169.48