Multirate Processing Technique for Obtaining Integer and Fractional-Order Derivatives of Low-Frequency Signals

作者：Tan Li^*; Jiang Jean; Wang Liangmo

来源：IEEE Transactions on Instrumentation and Measurement, 2014, 63(4): 904-912.

DOI：10.1109/TIM.2013.2289578

• Finite impulse response (FIR) digital differentiator
• fractional-order derivative
• integer-order derivative
• multirate signal processing
• oversampling

This paper proposes a multirate processing technique for obtaining integer and fractional derivatives of digital signals with an improved signal-to-quantization noise ratio. The technique consists of an oversampling analog-to-digital conversion unit with a dithering process and multi-stage down sampling process followed by an half-band finite impulse response (FIR) differentiator with high performance cascaded using a decimator with a factor of two. In the cascaded multistage processing, each stage contains a simple half-band low-pass FIR filter followed with decimation by two. The proposed technique uses an extremely small size for each half-band low-pass filter, hence requiring much less memory and computational complexity in comparison with the single-stage process. Computer simulations and experimental data processing demonstrate the effectiveness of the proposed method.

• 出版日期2014-4
• 单位南京理工大学