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8 - Multi Amplifier Second-order Filter Sections

Published online by Cambridge University Press:  24 December 2019

Muzaffer Ahmad Siddiqi
Affiliation:
Aligarh Muslim University, India
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Summary

Introduction

In Chapter 7, the basics of realizing second- (or third-) order filter sections using only one active device (OA) were explained. Such circuits are capable of providing any arbitrary secondorder function; they are also economical from the point of view of the use of active devices. However, depending on the filter specifications and the configuration chosen, the resulting circuit may not fulfil all the requirements like small number of passive components used and specific spread, sensitivity and variability. It is for this reason that many second-order filter sections use two, three or more OAs: multi amplifier biquads (MABs). Obviously, the intention is to overcome the mentioned limitations of the single amplifier biquad (SAB). In addition, a significant feature of multi amplifier biquadratic sections is their versatility in terms of providing more than one kind of response (like LP and BP) at the output terminals leading to general biquadratic structures.

Almost all MABs use two integrators in a loop, a technique known as the state-variable approach. Based on this technique, an important practical circuit known as the KHN (Kerwin- Huelsman−Newcomb) biquad can be assembled. The scheme explained in detail in Section 8.2 realizes three types of output responses. A direct modification of the scheme, known as Tow–Thomas biquad is studied in Section 8.3. The schemes, being interesting and useful, are further studied while employing active compensation to inverting or non-inverting integrators used in the loop. Active compensation leads to another well-known biquad, the Ackerberg– Mossberg filter, which is studied in Section 8.5. Many schemes have been implemented to utilize these structures and obtain other types of responses as explained in Section 8.6. Another scheme for obtaining a multi-response configuration using a generalized impedance convertor (GIC) is explained at the end of the chapter.

While designing a SAB, it was observed that a frequency-dependent finite gain of the OA results in a deviation in the performance parameters ωo and pole-Q. To compensate for these deviations, biquads using composite amplifiers are also used, in which instead of using only a passive negative feedback, an active feedback network is used. These amplifiers increase the number of OAs used, making it a MAB, though the design itself remains a SAB type.

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Publisher: Cambridge University Press
Print publication year: 2020

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References

[8.1] Kerwin, W. J., L. P., Huelsman, and R. W., Newcomb. 1967. ‘State-Variable Synthesis for Insensitive Integrated Transfer Functions,’ IEEE Journal of Solid-State Circuits SC-2: 87-92.Google Scholar
[8.2] Tow, J. 1969. ‘A Step-by-Step Active Filter Design,’ IEEE Spectrum 6: 64-8.CrossRefGoogle Scholar
[8.3] Thomas, L. C. 1971. ‘The Biquad: Part I-Some Practical Design Considerations; Part II-A Multipurpose Active Filtering System,’ IEEE Transactions on. Circuit Theory CT-18: 350-7.Google Scholar
[8.4] Ackerberg, D., and K., Mossberg. 1974. ‘A Versatile Active RC Building Block with Inherent Compensation for the Finite Bandwidth of the Amplifier,’ IEEE Transactions on Circuits and Systems 21: 758.4.Google Scholar
[8.5] Hall, D. L., and B., Flatua. 1998. ‘On Analog Feedback Control for Magneto-strictive Transducer Linearization,’ Journal of Sound and Vibration 211: 481-94.CrossRefGoogle Scholar
[8.6] Antila, M., K., Hakanen, and J., Kataja. 2002. ‘Microcontroller-Driven Analogue Filter for Active Noise Control.’ Southampton, UK: ISVR, ACTIVE.Google Scholar
[8.7] Antoniou, A. 1967. ‘Gyrat ors Using Operational Amplifiers,’ Electron Letters 3: 350−2.CrossRefGoogle Scholar

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