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A systematic approach for the design of linear filters and oscillators employing tree representation

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Abstract

In this paper, a block based systematic approach for synchronous design of linear filters and oscillators through full design space exploration is presented, which exploits inherent hierarchical property of tree. To bridge the gap between system specification and hardware structure of analog system, transfer function of linear filter and characteristic equation of oscillator have been modeled using a rooted tree, formed based on the characteristics of four basic building blocks. A hardware conversion algorithm has been used to map the paths of the tree into operational transconductance amplifier (OTA) based circuits, implementing both programmable linear filter and oscillator. Twenty seven distinct architectures for filters and oscillators are generated. The proposed approach is also compatible with Field Programmable Analog Array (FPAA), as demonstrated by mapping the generated circuits into a hexagonal FPAA.

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Authors and Affiliations

  1. Department of Electronics and Tele-Communication Engineering (ETCE), Indian Institute of Engineering Science and Technology (IIEST), Shibpur, Howrah, West Bengal, 711103, India

    Debanjana Datta, Ayan Banerjee & Baidyanath Ray

  2. Department of ECE, Pailan College of Management and Technology, Kolkata, West Bengal, India

    Mousumi Bhanja

Authors
  1. Debanjana Datta
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  2. Mousumi Bhanja
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  3. Ayan Banerjee
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  4. Baidyanath Ray
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Correspondence to Debanjana Datta.

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Datta, D., Bhanja, M., Banerjee, A. et al. A systematic approach for the design of linear filters and oscillators employing tree representation. Analog Integr Circ Sig Process 108, 181–203 (2021). https://doi.org/10.1007/s10470-021-01869-0

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