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High-Pass $\Sigma \Delta$ Converter Design Using a State-Space Approach and Its Application to Cardiac Signal Acquisition

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Cardiac signal acquisition with high linearity and accuracy of the high-pass cut-off frequency imposes a challenge on the implementation of the analog preprocessing and the analog-to-digital converter. This paper describes… Click to show full abstract

Cardiac signal acquisition with high linearity and accuracy of the high-pass cut-off frequency imposes a challenge on the implementation of the analog preprocessing and the analog-to-digital converter. This paper describes a state-space-based methodology for designing high-pass sigma-delta (HP $\Sigma \Delta$) topologies with high linearity, targeting high accuracy of the high-pass cut-off frequency. Intermediate functions are evaluated mathematically to compare the proposed HP $\Sigma \Delta$ topologies with respect to dynamic range. A sensitivity performance analysis of the noise transfer function with respect to integrator nonidealities and coefficient variations is also described. Finally, to illustrate the design approach, an orthonormal HP $\Sigma \Delta$ modulator is designed to be implemented in 0.18 $\mu$m CMOS technology, is tested with real prerecorded ECG signals.

Keywords: tex math; sigma delta; inline formula

Journal Title: IEEE Transactions on Biomedical Circuits and Systems
Year Published: 2018

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