Abstract
Design, realization and performance evaluation of fractional order high pass filter based on Operational Transresistance Amplifier (OTRA) using three fractional elements of different order α, β, γ are presented in this paper. The projected circuit uses a single active current mode device i.e. OTRA and utilizes fractional capacitors of varying orders to boost the design flexibility. The design equations for fractional order high pass filter are computed from the transfer function. The paper elaborates the impact of fractional order elements of varying order on the frequency response of the filter. Subsequently, the sensitivity and stability of the transfer function of the proposed filter are also analyzed. The potential usefulness of the proposed filter is additionally incontestable through the Total Harmonic Distortion (THD), Power Supply Rejection Ratio (PSRR), Temperature sweep, Corner, Supply Voltage variation and Noise Analysis. It has been observed that the proposed pass filter in fractional domain supported OTRA provides greater flexibility in controlling the magnitude characteristics.
Highlights
Signal processing applications supported by fractional order calculus are termed as Fractional Order Signal Processing (FOSP)
It is observed from the simulations that the magnitude and phase response of the proposed filter are controlled with the coefficients (d2, d1, d0) but can be controlled with fractional order (α, β, γ) which increases the design flexibility of the proposed filter
The stability of the filter for various values of α and β with coefficients d2, d1, and d0 is given in Tab. 1 which confirms that the filter using these coefficients is stable when α ≤ 1, β ≤ 1 and γ ≤ 1
Summary
Signal processing applications supported by fractional order calculus are termed as Fractional Order Signal Processing (FOSP). Due to varied applications of filters in instrumentation, communication and signal processing, numerous reported designs aim to generalize the design schemes of integer order filters to the fractional domain [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [41] and [42] It can be identified from the literature that active FO filters based on FOEs are designed using Op-Amps [3], [4], [5], [7], [8], [10], [11], [16] and [42] there are very few design reports of FO filters using current mode active elements [9], [12], [13], [14], [15] and [41]. Design procedure, realization and performance evaluation fractional of third order high pass filter using single OTRA is reported.
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