Novel fractional order sinusoidal oscillators using
operational trans resistance amplifier

Novel fractional order sinusoidal oscillators using
operational trans resistance amplifier

Active element
Continued fraction expansion
Fractional order
Frequency of oscillation virtual
ground
Sinusoidal oscillator
Sinusoidal signal

The design of fractional order circuits in very large-scale integration (VLSI)
domain is gaining the interest of many researchers. At the same time design
of fractional circuits using the current mode devices is attracting the research
community. In this paper, several possible fractional order sinusoidal oscillators
using operational trans resistance amplifier (OTRA) as a basic building block is
presented. The necessary condition for the frequency of oscillation and condition
for oscillations is derived. Fractional order operator sα is the most crucial
one to be approximated. In this paper, the fractional order element is approximated
by the continued fraction expansion (CFE). The approximation is carried
out up to fifth order. The circuits are tested with the simulation software named
LTspice. The results agree with the theoretical one. The proposed circuits offers
a frequency of 15 MHz, 20 MHz, and 25 MHz which is higher in value as
compared to the existing circuits. The proposed circuits finds applications in bio
medical, communication circuits.

Battula Tirumala Krishna1, Vanitha Kakollu2, Manchala Madhusudhan Prasad3

Journal homepage: http://journal.uad.ac.id/index.php/TELKOMNIKA

Oct 19, 2025

PERI IRAWAN

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