Bias in Amplitude Estimation of a Sine Signal with Known Frequency due to the Rounding Quantization Noise

Abstract:

Based on properties of quantization, a method is proposed to derive the bias in amplitude estimation of a sine signal with known frequency due to quantization noise by the rounding quantizer. For a selected quantization unit, the bias oscillates and decays with the signal amplitude, and the period of oscillation is just the quantization unit. Different quantizers may contribute to different biases. A comparison with the bias due to the rounding-down quantizer shows that the difference between them depends on the signal amplitude, and it tends to be small as the signal amplitude increases, not monotonically. Therefore, by choosing appropriate quantizer and quantization unit, the bias in estimated amplitude due to quantization noise will be decreased.

• Periodical: Applied Mechanics and Materials (Volume 667)
• Pages: 318-323
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.667.318
• Online since: October 2014
• Authors: Yuan Tian, Jie Luo*
• Keywords: Amplitude Estimation, Quantization Noise, Rounding Quantizer

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