All-pass-based design of nearly-linear phase IIR low-pass differentiators

References

• Al-Alaoui, M. A. (1995). A class of second-order integrators and low-pass differentiators. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 42(4), 220–223.
   Google Scholar
• Al-Alaoui, M. A. (2007). Linear phase low-pass IIR digital differentiators. IEEE Transactions on Signal Processing, 55(2), 697–706.
   Web of Science ®Google Scholar
• de la O Serna, J. A., & Platas-Garza, M. A. (2011). Maximally flat differentiators through WLS Taylor decomposition. Digital Signal Processing, 21(2), 183–194.
   Web of Science ®Google Scholar
• Ferdi, Y. (2010). Improved lowpass differentiator for physiological signal processing. In 2010 7th International Symposium on Communication Systems, Networks & Digital Signal Processing (CSNDSP 2010), Newcastle upon Tyne, UK (pp. 747–750).
   Google Scholar
• Khan, I. R., Okuda, M., & Ohba, R. (2005). Digital differentiators for narrow band applications in the lower to midband range. In 2005 IEEE International Symposium on Circuits and Systems, Kobe, Japan. (pp. 3721–3724).
   Google Scholar
• Kumar, B., & Roy, S. D. (1988). Design of digital differentiators for low frequencies. Proceedings of the IEEE, 76(3), 287–289.
   Web of Science ®Google Scholar
• Laguna, P., Thakor, N. V., Caminal, P., & Jane, R. (1990). Low-pass differentiators for biological signals with known spectra: Application to ECG signal processing. IEEE Transactions on Biomedical Engineering, 37(4), 420–425.
   PubMed Web of Science ®Google Scholar
• Le Bihan, J. (1993). Novel class of digital integrators and differentiators. Electronics Letters, 29(11), 971–973.
   Web of Science ®Google Scholar
• Luo, J., Bai, J., He, P., & Ying, K. (2004). Axial strain calculation using a low-pass digital differentiator in ultrasound elastography. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 51(9), 1119–1127.
   PubMed Web of Science ®Google Scholar
• Nakamoto, M., & Ohno, S. (2014). Design of multi-band digital filters and full-band digital differentiators without frequency sampling and iterative optimization. IEEE Transactions on Industrial Electronics, 61(9), 4857–4866.
   Web of Science ®Google Scholar
• Nongpiur, R. C., Shpak, D. J., & Antoniou, A. (2014). Design of IIR digital differentiators using constrained optimization. IEEE Transactions on Signal Processing, 62(7), 1729–1739.
   Web of Science ®Google Scholar
• Platas-Garza, M. A., Platas-Garza, J., & de la O Serna, J. A. (2009). Dynamic phasor and frequency estimates through maximally flat differentiators. IEEE Transactions on Instrumentation and Measurement, 59(7), 1803–1811.
   Web of Science ®Google Scholar
• Selesnick, I. W. (2002). Maximally flat low-pass digital differentiator. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 49(3), 219–223.
   Google Scholar
• Skogstad, S. A., Holm, S., & Høvin, M. (2012). Designing digital IIR low-pass differentiators with multi-objective optimization. 2012 IEEE 11th International Conference on Signal Processing, 1, 10–15.
   Google Scholar
• Skolnik, M. I. (1980). Introduction to radar systems (pp. 590). New York: McGraw Hill Book Co., 1980.
   Google Scholar
• Stančić, G, Krstić, I, & Živković, M. (2019). Design of iir fullband differentiators using parallel all-pass structure. Digital Signal Processing, 87, 132 – 144. doi:10.1016/j.dsp.2019.01.026
   Web of Science ®Google Scholar
• Väliviita, S., & Ovaska, S. J. (1998). Delayless recursive differentiator with efficient noise attenuation for control instrumentation. Signal Processing, 69(3), 267–280.
   Web of Science ®Google Scholar
• Wang, Y. (2013). New window functions for the design of narrowband lowpass differentiators. Circuits, Systems, and Signal Processing, 32(4), 1771–1790.
   Web of Science ®Google Scholar
• Wulf, M., Staude, G., Knopp, A., & Felderhoff, T. (2016). Efficient design of FIR filter based low-pass differentiators for biomedical signal processing. Current Directions in Biomedical Engineering, 2(1), 215–219.
   Google Scholar
• Yoshida, T., Nakamoto, M., & Aikawa, N. (2018). Low-delay and high-functioning digital differentiators in the big data era. Electronics and Communications in Japan, 101(10), 31–37.
   Web of Science ®Google Scholar