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Synthesis of Analog Gm-C Hilbert Transformer and Its Implementation for Band-Pass Filter Design

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Gm-C Filter Synthesis for Modern RF Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 807))

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Abstract

In conjunction with the problem of synthesis high frequency, selective, linear phase, arithmetically symmetrical band-pass filters implemented as CMOS integrated circuits using OTAs and capacitors only is considered. To that end, complex (two-phase) systems are adopted which are driven by two sinusoidal signals mutually shifted in phase by π/2. Solutions to two problems are offered. New maximally flat approximation algorithm of constant output phase difference of two all-pass networks is developed and implemented. In that way, the so-called Hilbert transformer of any order is synthesized by a newly proposed method. Then, starting with a low-pass prototype, a complex (two phase) solution is proposed in order to preserve arithmetical symmetry of the filter’s frequency domain response. For both the Hilbert transformer and the complex filter, parallel physical realization in a form of Gm-C structure is used. Study of the result obtained was performed on several circuits using SPICE simulation.

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Correspondence to Vančo Litovski .

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Litovski, V. (2022). Synthesis of Analog Gm-C Hilbert Transformer and Its Implementation for Band-Pass Filter Design. In: Gm-C Filter Synthesis for Modern RF Systems. Lecture Notes in Electrical Engineering, vol 807. Springer, Singapore. https://doi.org/10.1007/978-981-16-6561-5_6

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  • DOI: https://doi.org/10.1007/978-981-16-6561-5_6

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-6560-8

  • Online ISBN: 978-981-16-6561-5

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