Title :
Obtaining higher-order derivatives of low-frequency signals using multirate signal processing
Author :
Li Tan ; Jiang, Jianliang ; Liangmo Wang
Author_Institution :
Signal Process. & Instrum. Lab., Purdue Univ. North Central, Westville, IN, USA
Abstract :
In this paper, a multi-rate signal processing technique is proposed for obtaining higher-order derivatives of digital signals with an improved signal-to-quantization noise ratio (SQNR). The technique consists of a classical oversampling analog-to-digital conversion (ADC) unit with a dithering process and multi-stage down sampling processing followed by a high performance digital differentiator cascaded using a decimator with a factor of two. In the cascaded multi-stage processing, each stage contains a simple half-band low-pass filter followed with decimation by two. The proposed technique uses an extremely small FIR filter size, hence requires much less memory and computational complexity in comparison with single-stage processing. Computer simulations and experimental data processing demonstrate the effectiveness of the proposed method.
Keywords :
analogue-digital conversion; computational complexity; signal processing; analog-to-digital conversion; computational complexity; dithering process; high performance digital differentiator cascaded; higher-order derivatives; low-frequency signals; multirate signal processing; multistage down sampling processing; signal-to-quantization noise ratio; FIR digital differentiator; Oversampling; higher-order derivative; multi-rate signal processing;
Conference_Titel :
Instrumentation and Measurement Technology Conference (I2MTC), 2013 IEEE International
Conference_Location :
Minneapolis, MN
Print_ISBN :
978-1-4673-4621-4
DOI :
10.1109/I2MTC.2013.6555619