Bit-Interleaved Coded Modulation: Fundamentals, Analysis and by Leszek Szczecinski PDF

By Leszek Szczecinski

ISBN-10: 0470686170

ISBN-13: 9780470686171

Presenting an intensive assessment of bit-interleaved coded modulation (BICM), this e-book introduces the instruments for the research and layout of BICM transceivers. It explains in info the functioning ideas of BICM and proposes a cultured probabilistic modeling of the reliability metrics–the so-called L-values–which are on the middle of the BICM receivers.  possible choices for transceiver layout according to those versions are then studied.

Providing new insights into the research of BICM, this publication is exclusive in its process, supplying a normal framework for research and layout, concentrating on communique theoretic features of BICM transceivers. It adopts an instructional technique, explains the issues only by using a number of examples and case reviews, and offers suggestions utilizing available mathematical tools.

The ebook may be an exceptional source for researchers in academia and undefined: graduate scholars, teachers, improvement engineers, and R & D managers.

Key Features:

  • Presents an creation to BICM, putting it within the context of alternative coded modulation schemes

  • Offers reasons of the functioning ideas and layout alternatives

  • Provides a distinct procedure, targeting communique conception aspects

  • Shows examples and case experiences to demonstrate research and layout of BICM

  • Adopts an academic process, explaining the issues simply and featuring recommendations utilizing available mathematical tools

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Extra resources for Bit-Interleaved Coded Modulation: Fundamentals, Analysis and Design

Example text

7. , there is a one-to-one mapping between length-m binary vectors and constellation points. The BICM decoder is composed of three mandatory elements: the demapper Θ, the deinterleaver Π−1 , and the binary decoder DEC. The demapper Θ calculates the logarithmic-likelihood ratios (LLRs, or L-values) for each code bit in b. These L-values are then deinterleaved by Π−1 and the resulting permuted sequence of L-values λ is passed to the channel decoder DEC. The L-values are the basic signals exchanged in a BICM receiver.

I[Nb ]] ∈ BNb are mapped onto nc sequences of code bits cq = [cq [1], . . , cq [Nq ]], q = 1, . . , nc , where Nq = Nc . 5 While this description is not entirely general,6 it will allow us to highlight the encoder’s properties and explain how these should be exploited during the design of BICM transceivers. The encoder is a mapper between the information sequences i ∈ BNb and the sequences c ∈ Bnc ×Nq , where nc Nq = Nc . The ensemble of all codewords c is called a code, which we denote by C.

6) where s ∈ C. The notation X ∼ N (μ, σ 2 ) is used to denote a Gaussian random variable with mean value μ and variance σ 2 ; its PDF is given by pX (x) = Ψ(x, μ, σ 2 ) √ 1 exp − 2πσ 2 (x − μ)2 2σ 2 . 7) The complementary CDF of X ∼ N (0, 1) is defined as Q(x) 1 Pr {X > x} = √ 2π ∞ x exp − u2 2 du. 8) We also use the complementary error function defined as erfc(x) 2 √ π ∞ x √ exp(−u2 ) du = 2Q( 2x). 9) Preliminaries 13 If X1 ∼ N (0, 1) and X2 ∼ N (0, 1), then X = [X1 , X2 ]T is a normalized bivariate Gaussian variable with correlation ρ = EX1 ,X2 [X1 X2 ].

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Bit-Interleaved Coded Modulation: Fundamentals, Analysis and Design by Leszek Szczecinski

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