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Importance of Filters in Data Processing Pipeline

In: Non-Linearity in Econometric Modeling, Vol. 1

Author

Listed:
  • Sarit Maitra

    (Alliance University—Central Campus, Chikkahadage Cross Chandapura-Anekal)

Abstract

Linearity refers to a mathematical relationship within a system or model where outputs are directly proportional to inputs and adhere to the principle of superposition. In contrast, non-linearity describes relationships between inputs and outputs that are more complex, involving feedback loops, thresholds, or interactions that cannot be represented by a simple straight line. In nonlinear dynamic systems, noise can interact with the underlying dynamics to produce complex behaviors such as chaos, bifurcations, or stochastic resonance. It can obscure the distinction between genuine nonlinear patterns and randomness, and in some cases, may even induce or amplify nonlinear phenomena.

Suggested Citation

  • Sarit Maitra, 2025. "Importance of Filters in Data Processing Pipeline," Dynamic Modeling and Econometrics in Economics and Finance, in: Non-Linearity in Econometric Modeling, Vol. 1, chapter 1, pages 1-44, Springer.
    • Handle: RePEc:spr:dymchp:978-3-032-06462-2_1
    DOI: 10.1007/978-3-032-06462-2_1
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