Numerical Recipes in C++: the art of scientific computing
Numerical Recipes in C++: the art of scientific computing
Principles of Digital Communication and Coding
Principles of Digital Communication and Coding
Bit-Interleaved Coded Modulation
Foundations and Trends in Communications and Information Theory
Distribution of L-values in gray-mapped M2-QAM: closed-form approximations and applications
IEEE Transactions on Communications
Large-SNR error probability analysis of BICM with uniform interleaving in fading channels
IEEE Transactions on Wireless Communications
Bit-interleaved coded modulation revisited: a mismatched decoding perspective
IEEE Transactions on Information Theory
IEEE Transactions on Communications
Distribution of max-log metrics for QAM-based BICM in fading channels
IEEE Transactions on Communications
IEEE Transactions on Communications
Robust multiuser detection in non-Gaussian channels
IEEE Transactions on Signal Processing
Channel codng for 4G systems with adaptive modulation and codng
IEEE Wireless Communications
IEEE Transactions on Wireless Communications
Detection of random signals in Gaussian mixture noise
IEEE Transactions on Information Theory - Part 2
Bit-interleaved coded modulation
IEEE Transactions on Information Theory
Reliable communication under channel uncertainty
IEEE Transactions on Information Theory
Error probability analysis of bit-interleaved coded modulation
IEEE Transactions on Information Theory
IEEE Journal on Selected Areas in Communications
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Bit-interleaved coded modulation (BICM) has been adopted in many systems and standards for spectrally efficient coded transmission. The analytical evaluation of BICM performance parameters, in particular bit-error rate (BER), has received considerable attention in the recent past. In this paper, we derive BER approximations for BICM transmission over general fading channels impaired by Gaussian mixture noise (GMN). To this end, we build upon the saddlepoint approximation of the pairwise error probability (PEP) and a recently established approximation for the probability density function (PDF) of bitwise reliability metrics for nonfading additive white Gaussian noise (AWGN) channels. We extend this PDF approximation to the case of GMN, and obtain closed-form expressions for its Laplace transform for fading GMN channels. The latter allows us to express the PEP and thus BER via the saddlepoint approximation. For the special case of fading AWGN channels the presented approximations are closed form, since the saddlepoint is well approximated by 1/2 for BICM decoding. Furthermore, we derive closed-form PEP expressions also for GMN channels in the high signal-to-noise ratio regime and establish the diversity and coding gain for BICM transmission over fading GMN channels. Selected numerical results for the BER of convolutional coded BICM highlight the usefulness of the proposed approximations and the differences between AWGN and GMN channels.