### Abstract

of how far a test signal is from a reference signal at the symbol values when some parameters in a reconstruction model are optimized for best agreement. This paper provides an approach to computation of error vector magnitude as described in several standards from measured or simulated data. It is shown

that the error vector magnitude optimization problem is generally non-convex. Robust estimation of the initial conditions for the optimizer is suggested, which is particularly important for a non-convex problem. A Bender decomposition approach is used to separate convex and non-convex parts of the problem to make the optimization procedure simpler and robust. A two step global optimization method is suggested where the global step is the grid method and the local method is the Newton method. A number of test cases are shown to illustrate the concepts.

Original language | English |
---|---|

Journal | I E E E Transactions on Communications |

Volume | 61 |

Issue number | 2 |

Pages (from-to) | 648-657 |

Number of pages | 10 |

ISSN | 0090-6778 |

DOIs | |

Publication status | Published - 1 Feb 2013 |

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**Robust Computation of Error Vector Magnitude for Wireless Standards.** / Jensen, Tobias Lindstrøm; Larsen, Torben.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - Robust Computation of Error Vector Magnitude for Wireless Standards

AU - Jensen, Tobias Lindstrøm

AU - Larsen, Torben

PY - 2013/2/1

Y1 - 2013/2/1

N2 - The modulation accuracy described by an error vector magnitude is a critical parameter in modern communication systems — defined originally as a performance metric for transmitters but now also used in receiver design and for more general signal analysis. The modulation accuracy is a measureof how far a test signal is from a reference signal at the symbol values when some parameters in a reconstruction model are optimized for best agreement. This paper provides an approach to computation of error vector magnitude as described in several standards from measured or simulated data. It is shownthat the error vector magnitude optimization problem is generally non-convex. Robust estimation of the initial conditions for the optimizer is suggested, which is particularly important for a non-convex problem. A Bender decomposition approach is used to separate convex and non-convex parts of the problem to make the optimization procedure simpler and robust. A two step global optimization method is suggested where the global step is the grid method and the local method is the Newton method. A number of test cases are shown to illustrate the concepts.

AB - The modulation accuracy described by an error vector magnitude is a critical parameter in modern communication systems — defined originally as a performance metric for transmitters but now also used in receiver design and for more general signal analysis. The modulation accuracy is a measureof how far a test signal is from a reference signal at the symbol values when some parameters in a reconstruction model are optimized for best agreement. This paper provides an approach to computation of error vector magnitude as described in several standards from measured or simulated data. It is shownthat the error vector magnitude optimization problem is generally non-convex. Robust estimation of the initial conditions for the optimizer is suggested, which is particularly important for a non-convex problem. A Bender decomposition approach is used to separate convex and non-convex parts of the problem to make the optimization procedure simpler and robust. A two step global optimization method is suggested where the global step is the grid method and the local method is the Newton method. A number of test cases are shown to illustrate the concepts.

UR - http://sparsesampling.com/evmbox/

U2 - 10.1109/TCOMM.2012.022513.120093

DO - 10.1109/TCOMM.2012.022513.120093

M3 - Journal article

VL - 61

SP - 648

EP - 657

JO - I E E E Transactions on Communications

JF - I E E E Transactions on Communications

SN - 0090-6778

IS - 2

ER -