Passive RC-Notch Filter Using Floating Admittance Matrix Approach

A novel approach for realizing the RC notch filter function has been presented using the Floating Admittance Matrix (FAM) technique. The method offers significant advantages in terms of simple implementation and efficient computation. One of the key strengths of the proposed FAM approach is its universal applicability, as it can be employed for the analysis of almost all types of electronic circuits.
The technique utilizes matrix partitioning, which makes the analysis of large and complex networks more manageable. An important feature of the FAM method is that the sum of the elements in every row or column of the matrix becomes zero. This property serves as an immediate check for correctness during formulation and helps in identifying errors at the initial stage itself, thereby reducing both time and effort in circuit analysis.
The FAM method is straightforward and easy to understand. Even a person with basic knowledge of electronics and familiarity with matrix operations can use this technique to analyze circuits and obtain various transfer functions. In addition, the mathematical modeling based on the FAM approach provides great flexibility to circuit designers, enabling them to modify and optimize the design conveniently at different stages of analysis.
Overall, these advantages clearly justify the usefulness and effectiveness of the proposed FAM-based process for electronic circuit analysis and design.

Notch filter, Floating Admittance Matrix (FAM)

1. Everitt, W. L., & Anner, G. E. (1937). Communication Engineering. McGraw–Hill. [Google Scholar] [Crossref]

2. Chen, W.-K. (2005). Circuit Analysis and Feedback Amplifier Theory. CRC Press. [Google Scholar] [Crossref]

3. Koutsarov, St. (1984). 55 Practical Circuits of Electronic Filters. Sofia: Technika Publishing House. [Google Scholar] [Crossref]

4. Koutsarov, St. (1977). Non-Inductive Electronic Filters. Sofia: Technika Publishing House. [Google Scholar] [Crossref]

5. Zobel, O. J. (1929). “Distortion Compensator.” U.S. Patent 1,701,552, filed June 26, 1924, issued February 12, 1929. [Google Scholar] [Crossref]

6. Zobel, O. J. (1931). “Phase-Shifting Network.” U.S. Patent 1,792,523, filed March 12, 1927, issued February 17, 1931. [Google Scholar] [Crossref]

7. Moschytz, G. S. (1975). Linear Integrated Networks: Design. New York: Van Nostrand Reinhold Co. [Google Scholar] [Crossref]

8. Moschytz, G. S., & Horn, P. (1981). Active Filter Design Handbook. Chichester, U.K.: Wiley. [Google Scholar] [Crossref]

9. Sallen, R. P., & Key, E. L. (1955). “A Practical Method of Designing RC Active Filters.” IRE Transactions on Circuit Theory, CT-2, 78–85. [Google Scholar] [Crossref]

10. Jurišić, D., & Mijat, N. (2000). “Low-Sensitivity, Low-Noise, Band-Rejection and All-Pass Active-RC Filters.” IEEE ISTET Conference, Dubrovnik, Croatia, June 20–23, 2000. [Google Scholar] [Crossref]

11. Bogdan, M., & Panu, M. (2015). “LabVIEW Modeling and Simulation of the Low Pass and High Pass Analog Filters.” 13th International Conference on Engineering of Modern Electric Systems (EMES). [Google Scholar] [Crossref]

12. Prasada Rao, D. B. S. J., & Singh, B. P. (1978). “A Unified Approach to Electronic Circuit Analysis Using Indefinite Admittance Matrix.” International Journal of Electrical Engineering Education, 15, 267–275. [Google Scholar] [Crossref]

13. Singh, B. P. (1978). “On Demand Realization of a Frequency-Dependent Negative Resistance and an Infinite Input Impedance.” International Journal of Electronics: Theoretical and Experimental, 44(3), 243–249. [Google Scholar] [Crossref]

14. Singh, M., Roy, S., & Singh, B. P. (2011). “On Demand Realization of Input and Output Resistances of MOSFET Amplifier.” AIP Conference Proceedings, 1414(1), 266–270. [Google Scholar] [Crossref]

15. Singh, B. P. (1978). “A Null Method for Measuring the Parameters of a FET.” International Journal of Electronics, 44, 251–256. [Google Scholar] [Crossref]

16. Singh, B. P. (1982). “Minimum Sensitive FET Filter.” Indian Journal of Pure and Applied Physics, 20, 389. [Google Scholar] [Crossref]

17. Singh, B. P. (1982). “Null Method for Measuring h-Parameter.” Indian Journal of Pure and Applied Physics, 16, 337–339. [Google Scholar] [Crossref]

18. Singh, M., & Prerna, P. (2019). “Floating Admittance Matrix Modeling Approach to BJT.” International Journal of Research and Scientific Innovation (IJRSI), VI(X), 115–120. [Google Scholar] [Crossref]

19. Roy, S. K., Singh, M., Sharma, K. K., Cherry, B., & Singh, B. P. (2020). “Mathematical Modelling of Simple Passive RC Filters Using Floating Admittance Technique.” 2020 IEEE International Conference for Innovation in Technology (INOCON-20), Bengaluru, India, November 6–8, 1–6. [Google Scholar] [Crossref]

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