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Equalization Techniques for Single-Carrier Modulations

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  • First Online:
Encyclopedia of Wireless Networks

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Synonyms

Inter-symbol interference; Linear modulation; Maximum likelihood sequence detection

Definitions

Linear modulations use pulses to transmit data over a channel. Transmission through a nonideal channel (say, from multipath propagation) causes temporal spreading of the pulses. The temporal spreading of the pulses produces a phenomenon known as inter-symbol interference: the detection instant for a given symbol contains contributions from adjacent symbols. Equalization refers to the category of signal processing techniques designed to mitigate inter-symbol interference.

Introduction

Linear, single-carrier modulations are described by the complex-valued, low-pass equivalent pulse train (Proakis 2008).

$$ {s}_c(t)=\sum \limits_{k=0}^{K-1}{a}_k{p}_c\left(t-{kT}_s\right) $$
(1)

where a k is the k-th complex-valued symbol drawn from an alphabet \( \mathbf{\mathcal{C}} \) with M members and with E s = E{|a| 2}, p c(t) is a unit energy pulse shape, and T s is the symbol time (i.e., a new M...

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References

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Author information

Authors and Affiliations

  1. Department of Electrical & Computer Engineering, Brigham Young University, Provo, UT, USA

    Michael Rice

Authors
  1. Michael Rice
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Corresponding author

Correspondence to Michael Rice .

Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Waterloo , Waterloo, ON, Canada

    Xuemin (Sherman) Shen

  2. Faculty of Business and Information Technology, University of Ontario Institute of Technology, Oshawa, ON, Canada

    Xiaodong Lin

  3. Dpt.of Electrical & Computer Engineering, University of Nebraska–Lincoln, Omaha, NE, USA

    Kuan Zhang

Section Editor information

  1. No affiliation provided

    Yingying Chen

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Rice, M. (2019). Equalization Techniques for Single-Carrier Modulations. In: Shen, X., Lin, X., Zhang, K. (eds) Encyclopedia of Wireless Networks. Springer, Cham. https://doi.org/10.1007/978-3-319-32903-1_180-1

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  • DOI: https://doi.org/10.1007/978-3-319-32903-1_180-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32903-1

  • Online ISBN: 978-3-319-32903-1

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