Fibonacci Sequence–Based Design and Analysis of Stable Second-Order LTI Systems
Diganta Choudhury, Gouri Goutam Borthakur
Asian Journal of Research and Reviews in Physics · pp. 50–57 · Published 26 Feb 2026
10.9734/ajr2p/2026/v10i1216Abstract
Fibonacci sequence, known for its mathematical elegance & recurrence properties, brings a novel approach to filter design. In this paper we aim to design 2nd order linear time invariant (LTI) systems using pairs of consecutive higher order Fibonacci numbers. The analyses of designed systems for their overall stability i.e in terms of Routh-Hauritz criterion, gain and phase margins reveal that all the designed transfer function are stable. The impulse response represents Dirac delta function and the step response is slightly over damped with damping ratio ζ ≈ 1.029. The magnitude response is similar to that of a low pass filter. Monte Carlo Simulations to predict their cut off frequency validates the theoretical analysis. We have showed that the cut off frequency is 0.618 times the square root of the product of Fibonacci pairs.
Cited by 0
No indexed citations yet.
Related research
- Normality Assessment, a Substantial Appraisal in Medical Studies: A Simulation Study for Power Comparison of Various Types of Normality Tests — shares topic coverage
- New Critical Values for the Winsorized t-Test — shares topic coverage
- DBOLR Test for Testing Autoregressive Conditional Heteroscedasticity and Comparative Study with Two Sided Likelihood Ratio (LR) and Lagrange Multiplier (LM) Tests - A Simulation Approach — shares topic coverage
- QE-Bayesian and E-Bayesian Estimation of the Frechet Model — shares topic coverage
- Performance Evaluation of a Rainwater Harvesting System: A Case Study of University College Hospital, Ibadan City, Nigeria — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
0
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.