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首页> 外文期刊>Signal Processing, IET >Effect of polynomial interpolations on the estimation performance of a frequency-selective Rayleigh channel in orthogonal frequency division multiplexing systems
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Effect of polynomial interpolations on the estimation performance of a frequency-selective Rayleigh channel in orthogonal frequency division multiplexing systems

机译：多项式内插对正交频分复用系统中频率选择瑞利信道估计性能的影响

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摘要

In this paper, the authors provide an analytical expression of the mean square error (MSE) and the bit error rate (BER) lower bound of an orthogonal frequency division multiplexing signal transmission over a multipath Rayleigh channel considering estimation errors. For some pilot arrangements, an interpolation is required to perform the channel estimation. Owing to their low complexity, polynomial based interpolations are usually applied at the receiver, which induces estimation and signal errors. Based on a statistical analysis of these errors, the exact MSE expression of the channel estimation is provided. Furthermore, with a geometrical study of the constellation, an analytical BER limit is derived. For a given channel, it is shown that the errors are perfectly characterised by the interpolation method and the frequency gap between the pilot tones. All the steps of the analytical developments are validated through simulations. The proposed analysis then predicts the performance of the receiver, thus enabling the latter to a priori select the interpolation method with minimum complexity, according to a given channel and a BER target.
机译：在本文中，作者提供了考虑估计误差的多径瑞利信道上正交频分复用信号传输的均方误差（MSE）和误码率（BER）下限的解析表达式。对于某些导频布置，需要插值来执行信道估计。由于其低复杂度，通常在接收器处应用基于多项式的内插，这会引起估计和信号误差。基于对这些错误的统计分析，提供了信道估计的精确MSE表达式。此外，通过对星座图进行几何研究，得出了解析的BER极限。对于给定的信道，表明通过插值方法和导频音之间的频率间隙完美地表征了误差。分析开发的所有步骤均通过仿真进行了验证。所提出的分析然后预测了接收机的性能，从而使接收机能够根据给定的信道和BER目标，以最小的复杂度优先选择内插方法。

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