Waveform synthesis of multi-frequency sinusoids with 2ⁿth primary harmonics based on Walsh functions

机译：基于沃尔什函数的第2 ^{n 次谐波的多频正弦波形合成}

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Excitation source with multi-frequency sinusoids is of importance for bioimpedance spectroscopy (BIS) measurements. This paper describes a novel and simple method to synthesize multi-frequency sinusoids with 2ⁿth primary harmonics based on Walsh functions. The synthesis mechanism is presented detailedly, and after analyzing the Fourier series expression of the periodic signal, the expression of the synthesized waveform in time domain is obtained. The simulation amplitude spectra and power spectra results comfirm that the energy of the synthesized signal is concentrated on the expected 2ⁿth primary harmonics, and the bandwidth of the signal is also controllable, which foretell that the proposed waveform synthesis will be an ideal excitation source for spectral measurements. Furthermore, as a binary valued function, the waveform can be generated by FPGAs easisly and has a great value in BIS measurements.

机译：具有多频正弦波的激励源对于生物阻抗谱（BIS）测量非常重要。本文介绍了一种基于Walsh函数合成2次s次谐波的多频正弦波的新颖简单方法。详细介绍了其合成机理，并分析了周期信号的傅里叶级数表达式，得到了时域合成波形的表达式。仿真振幅谱和功率谱结果表明，合成信号的能量集中在预期的2 ^{n 次谐波上，并且信号的带宽也是可控的，这预示了所提出的波形合成将是光谱测量的理想激发源。此外，作为二进制值函数，该波形可以轻松地由FPGA生成，并且在BIS测量中具有重要的价值。}

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《Biomedical Circuits and Systems Conference, 2009. BioCAS 2009》|2009年|129-132|共4页
会议地点 Beijing(CN);Beijing(CN)
作者
Yang Yuxiang; Wang Jian; Gao Zonghai; Li Dacheng; Wang Jue;
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School of Mechanical Instrumental Engineering, Xi'an University of Technology, Xi'an, China;

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1. Microprocessor-based sinusoidal waveform synthesis using Walsh and related orthogonal functions [J] . Asumadu J.A., Hoft R.G. IEEE Transactions on Power Electronics . 1989,第2期

机译：使用Walsh和相关正交函数的基于微处理器的正弦波形合成
2. Design and implementation of an improved arbitrary waveform generator based on Walsh functions [J] . Zulfikar S., S. A. Abbasi, A. R. M. Alamoud International Journal of Physical Sciences . 2012,第10期

机译：基于沃尔什函数的改进任意波形发生器的设计与实现
3. Radial Basis Function Neural Networks (RBFNN) and p-q Power Theory Based Harmonic Identification in Converter Waveforms [J] . Eyad K. Almaita, Johnson A. Asumadu Journal of power electronics . 2011,第6期

机译：基于径向基函数神经网络（RBFNN）和p-q功率理论的变频器波形谐波识别
4. Waveform Synthesis of Multi-frequency Sinusoids with 2~nth Primary Harmonics Based on Walsh Functions [C] . Yuxiang Yang, Jian Wang, Zonghai Gao, IEEE Biomedical Circuits and Systems Conference . 2009

机译：基于沃尔什函数的2〜第n初级谐波的多频正弦曲面波形合成
5. Inverter harmonic reduction using Walsh function harmonic elimination method. [D] . Liang, Tsorng-Juu. 1993

机译：逆变器谐波降低采用沃尔什函数谐波消除法。
6. Concerted Functions of Surface Acid–Base Pairsand Supported Copper Catalysts for Dehydrogenative Synthesis of Estersfrom Primary Alcohols [O] . Hiroki Miura, *, Karin Nakahara, 2017

机译：表面酸碱对的协同作用和负载型铜催化剂用于酯的脱氢合成来自主要酒精
7. Walsh Function based Reconstruction Method of Triangular-wave PWM Command Voltage Waveform [O] . Krit Choeisai, Seiji Kondo 2000

机译：基于沃尔什函数的三角波PWM命令电压波形重构方法
8. New Capabilities of Walsh Functions and Walsh Transforms. [R] . Cheng, D. K. 1977

机译：沃尔什函数和沃尔什变换的新能力。

Waveform synthesis of multi-frequency sinusoids with 2nth primary harmonics based on Walsh functions

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Waveform synthesis of multi-frequency sinusoids with 2ⁿth primary harmonics based on Walsh functions