NDA SNR and CRLB Estimation Over MISO with STBC Channels

  • Authors:
  • Ahmed M. Almradi;Sohail A. Dianat

  • Affiliations:
  • Azzaytuna University, Tarhona, Libya;Rochester Institute of Technology, Rochester, USA

  • Venue:
  • International Journal of Business Data Communications and Networking
  • Year:
  • 2012

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Abstract

This paper discusses the problem of Non Data Aided NDA Signal to Noise Ratio SNR estimation of Binary Phase Shift keying BPSK modulated signals using the Expectation Maximization EM Algorithm. In addition, the Cramer-Rao Lower Bounds CRLB for the estimation of Data Aided DA and Non Data Aided NDA Signal to Noise Ratio SNR estimation is derived. Multiple Input Single Output MISO channels with Space Time Block Codes STBC is used. The EM algorithm is a method that finds the Maximum Likelihood ML solution iteratively when there are unobserved hidden or missing data. Extension of the proposed approach to other types of linearly modulated signals in estimating SNR is straight forward. The performance of the estimator is assessed using the NDA CRLBs. Alamouti coding technique is used in this paper with two transmit antennas and one receive antenna. The authors' assumption is that the received signal is corrupted by additive white Gaussian noise AWGN with unknown variance, and scaled by fixed unknown complex channel gain. Monte Carlo simulations are used to show that the proposed estimator offers a substantial improvement over the conventional Single Input Single Output SISO NDA SNR estimator due to the use of the statistical dependences in space and time. Moreover, the proposed NDA SNR estimator works close to the NDA SNR estimator over Single Input Multiple Output SIMO channels.