On the Asymptotic MSE-Optimality of Parametric Bayesian Channel Estimation in mmWave Systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918212918050816 |
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| author | Weißer, Franz Utschick, Wolfgang |
| author_facet | Weißer, Franz Utschick, Wolfgang |
| contents | The mean square error (MSE)-optimal estimator is known to be the conditional mean estimator (CME). This paper introduces a parametric channel estimation technique based on Bayesian estimation. This technique uses the estimated channel parameters to parameterize the well-known LMMSE channel estimator. We first derive an asymptotic CME formulation that holds for a wide range of priors on the channel parameters. Based on this, we show that parametric Bayesian channel estimation is MSE-optimal for high signal-to-noise ratio (SNR) and/or long coherence intervals, i.e., many noisy observations provided within one coherence interval. Numerical simulations validate the derived formulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16710 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Asymptotic MSE-Optimality of Parametric Bayesian Channel Estimation in mmWave Systems Weißer, Franz Utschick, Wolfgang Signal Processing The mean square error (MSE)-optimal estimator is known to be the conditional mean estimator (CME). This paper introduces a parametric channel estimation technique based on Bayesian estimation. This technique uses the estimated channel parameters to parameterize the well-known LMMSE channel estimator. We first derive an asymptotic CME formulation that holds for a wide range of priors on the channel parameters. Based on this, we show that parametric Bayesian channel estimation is MSE-optimal for high signal-to-noise ratio (SNR) and/or long coherence intervals, i.e., many noisy observations provided within one coherence interval. Numerical simulations validate the derived formulations. |
| title | On the Asymptotic MSE-Optimality of Parametric Bayesian Channel Estimation in mmWave Systems |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2504.16710 |