On The Minimum Mean-Square Estimation Error of the Normalized Sum of Independent Narrowband Waves in the Gaussian Channel
<|reference_start|>On The Minimum Mean-Square Estimation Error of the Normalized Sum of Independent Narrowband Waves in the Gaussian Channel: The minimum mean-square error of the estimation of a signal where observed from the additive white Gaussian noise (WGN) channel's output, is analyzed. It is assumed that the channel input's signal is composed of a (normalized) sum of N narrowband, mutually independent waves. It is shown that if N goes to infinity, then for any fixed signal energy to noise energy ratio (no mater how big) both the causal minimum mean-square error CMMSE and the non-causal minimum mean-square error MMSE converge to the signal energy at a rate which is proportional to 1/N.<|reference_end|>
@article{binia2006on,
    title={On The Minimum Mean-Square Estimation Error of the Normalized Sum of
  Independent Narrowband Waves in the Gaussian Channel},
    author={Jacob Binia},
    journal={arXiv preprint arXiv:cs/0601120},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0601120},
    primaryClass={cs.IT math.IT}
}