Null space learning with interference feedback for spatial division multiple access

Yair Noam, Alexandros Manolakos, Andrea J. Goldsmith

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


We propose a learning technique for MIMO communication systems to perform spatial division multiple access with minimal cooperation between users. In the proposed technique, each user (in a two-user receiver-transmitter pair) learns the null space of the interference channel to the other user by transmitting a learning signal and observing an affine function of the other user's interference plus noise power. The only requirement is that each system broadcasts, through a low-rate control channel, a periodic beacon that is a function of its noise plus interference power, which in practice is typically known by each system's receiver and transmitter. Thus, the learning can be made by the two users' transmitters without affecting the communication protocol between each user's receiver and transmitter. The proposed learning scheme is particularly attractive for underlay cognitive radio, where only the secondary user (SU), which must not interfere with the primary user (PU), has to learn the null space. In this case, the PU can broadcast the scheme's beacon without being aware of the SU. Furthermore, if the PU uses a power controlmechanism which maintains a constant signal to interference plus noise ratio, the SU can learn the null space even without a beacon, i.e., without any cooperation with the PU.

Original languageEnglish (US)
Article number2336233
Pages (from-to)5699-5715
Number of pages17
JournalIEEE Transactions on Wireless Communications
Issue number10
StatePublished - Oct 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


  • Cognitive radio
  • Interference mitigation
  • MIMO
  • Null space
  • Precoding
  • Spectrum sharing


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