Large system capacity of MIMO block fading channels with least squares linear adaptive receivers

Yakun Sun*, Michael L. Honig

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations


The performance of a wireless channel with multiple antennas benefits from channel knowledge at the receiver, which is typically unknown a priori. We study the capacity of a block fading multiple-input/multiple-output (MIMO) channel with a linear receiver, which is estimated from a training sequence via a Least Squares (LS) algorithm. Given a fixed block size, the amount of training overhead plays a key role in balancing the quality of the receiver estimate and the data transmission time. Here we study the optimal training length, which maximizes the large system MIMO capacity, i.e., the number of transmit and receive antennas go to infinity with fixed ratio. In order to obtain a meaningful limit, the training length and packet length also increase in fixed proportion to the number of antennas. We show that the optimal amount of training grows as the square root of the block size, as the block size becomes large. Furthermore, only a slight benefit is obtained from optimizing the allocation of power across training and data symbols. Numerical results show that for a fixed block length, the capacity can be increased somewhat by adding a properly chosen diagonal loading factor to the LS algorithm.

Original languageEnglish (US)
Title of host publicationGLOBECOM'05
Subtitle of host publicationIEEE Global Telecommunications Conference, 2005
Number of pages5
StatePublished - Dec 1 2005
EventGLOBECOM'05: IEEE Global Telecommunications Conference, 2005 - St. Louis, MO, United States
Duration: Nov 28 2005Dec 2 2005

Publication series

NameGLOBECOM - IEEE Global Telecommunications Conference


OtherGLOBECOM'05: IEEE Global Telecommunications Conference, 2005
CountryUnited States
CitySt. Louis, MO

ASJC Scopus subject areas

  • Engineering(all)

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