Fractional order circuit synthesis
Biomedical signal processing: Focus on ECG and EEG analysis
Fabrication of biosensors: urea detection in milk, water, and urine
Fruit ripening detection through electronics sensor-based techniques
Fractional Order Colpitts Oscillator (FOCO)
This work presents a complete design guidelines for a typical fractional order Colpitts oscillator with a non-ideal op-amp. These guidelines include effects of op-amp non-idealities like, open-loop dc gain, unity gain frequency, and output resistance, into the design. The relation among these non-idealities and the frequency of oscillation (fo) are analytically established and an optimal configuration for FOCO is identified. The proposed guidelines are validated with LTSpice simulations and practical experimentation along with step-by-step design examples. Practical results are compared with earlier reported FOCO which shows higher frequency and larger amplitude for the designed FOCO at a comparable THD. The proposed guidelines are generic in the sense that they are applicable for any order (including integer order), for any type of fractor realization technique, and also for any active element which has first order behavioral model.
This work presents a design of an inductor-less fractional order (FO) low-pass notch filter (LPNF) for processing ECG signals. The filter is designed with a D element and a fractor which are realized in hardware using a grounded GIC and an RC ladder, respectively. The filter is tunable in a small range (35-80 Hz) by varying a series resistor, as well as in a wide range (35-20000 Hz) by varying a GIC resistor. With the proposed filter, an attenuation of 105.8 dB has been achieved at 50 Hz by adjusting the fractance value. The order α is set between 0.2 to 0.3 to ensure the low-pass notch action. The quality factor of the proposed FO LPNF is 97-112 in the frequency range of 40-60 Hz (experimental).
Mango being a senescent stage perishes within few days after harvest and promises its maximum nutrition only its `Ripe' hours. If not properly segregated at the beginning of supply-chain as per its exact ripe stages, even a single overripe mango can spoil the entire basket. Quick and reliable assessment of mango ripe stage in a compact and affordable way is the need of the harvester to consumer. This work presents an electronic sensor based on fractional order Colpitts oscillator (FOCO) for ripe stage detection of two different species of mango, Banganapalle and Chausa. It presents a data model which simply classifies mango ripe stage based on the FOCO output. The method is intrinsic, compact and suitable for portable device. The test results based on 256 measurement provides overall precision and recall value 0.83 (Chausa) and 0.85 (Banganapalle)
Urea is one of the major adulterants in milk which is added to increase the Solid-Not-Fat and protein contents in adulterated milk, as well as its shelf-life. Prolong consumption of excess urea beyond the permissible limit (70 mg/dL) leads to kidney disease and renal failure. As mostly run through unorganized sectors, reliable quality check of milk in India can only be done in the consumer end. That requires an in-home, portable device with simple test protocol. A disposable urea sensor is designed in this work from this motivation. It adopts impedimetry based enzymatic technique which is integrable with smart devices. Its disposable nature avoids any calibration shift resulted by the fat contents present in milk. The presence of urease makes the sensor sensitive to urea and tells the exact concentration in the range of 20−250 mg/dL. The response is linear and sensitivity is 1.36 Ω/mg/dL.
Single Cole model which comprises of a lossy fractor (fractor with a parallel resistor) is a commonly reported model for several biosensors. The parameters of the model are often the measurand of the biomolecules present in the sensing media. However, due to the lack of suitable signal conditioning circuit for fractional order systems such sensing often relies upon bioimpedance spectroscopy followed by offline analysis. This paper presents a compact real time solution for this by presenting a modified Colpitts oscillator. The proposed oscillator is designed with lossy fractor such that Cole-modelled sensing devices can act as one of its constituent element. Consequently, the response of the oscillator becomes the measure of the parameters of the Cole model or in turn, the measure of the bio-element. In this work, the designed Colpitts oscillator has been applied for detecting urea concentration in aqueous medium. A paper-urease disposable sensor in urea solution can be modelled with single Cole dispersion and hence, can be used in association with the designed oscillator. Together the system acts as urea sensing device for the range 1 mg/dL to 1 g/dL.
This paper presents the design of a fractional order (FO) Hartley oscillator (FOHO) using a practical, non-ideal op-amp and investigates the optimal position of the FO inductor within the circuit. Three key non-idealities of the op-amp are considered: finite gain bandwidth product, non-zero output resistance, and finite open-loop DC gain. A generic mathematical relationship is developed to account for these non-idealities, describing both the oscillation frequency and conditions for the proposed FOHO. The effects of these non-idealities on oscillation frequency and critical resistance ratio are analyzed, with four different configurations explored to determine the optimal inductor placement. The parametric variation of the oscillator is studied, and based on this, design guidelines are provided for determining the values of L, F, alpha, and R for a specified oscillation frequency. These guidelines, demonstrated through a design example, are validated using LTspice simulations, and case studies are presented to achieve the highest possible oscillation frequency.