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Δ-Σ Integrator and Differentiator

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Functional Processing of Delta-Sigma Bit-Stream

Abstract

Digital integrators and differentiators are an integral part of many systems like control, communications, audio, medical, and DSP in general. Both digital integrators and differentiators can be classified as finite impulse response (FIR) or infinite impulse response (IIR) filters. IIR digital solutions are preferred because their implementation is simpler, and they have much better magnitude response. However, their phase characteristics are not linear in comparison with FIR filters, which can cause problems in some applications. The frequency response of an ideal integrator is

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References

  1. Al-Alaoui, M. (1993). Novel digital integrator and differentiator. Electronics Letters, 29(4), 376–378.

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  2. Kouvaras, N. (1978). Operations on delta-modulated signals and their applications in the realization of digital filters. Radio and Electrical Engineer, 48(9), 431–438.

    Article  Google Scholar 

  3. Fujisaka, H., Kurata, R., Sakamoto, M., & Morisue, M. (2002). Bit-stream signal processing and its applications to communication systems. IEE Proceedings-Circuits, Devices and Systems, 149(3), 159–166.

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  4. Lyons, R. (2019, September 24), The risk in using frequency domain curves to evaluate digital integrator performance, DSP Related.com. Retrieved from https://www.dsprelated.com/showarticle/1299.php

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Zrilic, D.G. (2020). Δ-Σ Integrator and Differentiator. In: Functional Processing of Delta-Sigma Bit-Stream. Springer, Cham. https://doi.org/10.1007/978-3-030-47648-9_11

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  • DOI: https://doi.org/10.1007/978-3-030-47648-9_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-47647-2

  • Online ISBN: 978-3-030-47648-9

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