# Universal Voltage Conveyor and its Novel Dual-Output Fully-Cascadable VM APF Application

^{*}

## Abstract

**:**

## 1. Introduction

- (i)
- (ii)
- (iii)
- All passive components are grounded, which is advantageous for monolithic integration [9],
- (iv)
- (v)

## 2. Circuit Description

## 3. Non-Ideal Analysis

- the parasitic resistance ${R}_{\mathrm{X}}$ and parasitic capacitance ${C}_{\mathrm{X}}$ appear between the high-impedance terminal X of the UVC and ground and their values computed in SPICE software are ${R}_{\mathrm{X}}=378.73$ k$\mathsf{\Omega}\phantom{\rule{3.33333pt}{0ex}}\parallel \phantom{\rule{3.33333pt}{0ex}}{C}_{\mathrm{X}}=17.41$ pF, respectively,
- the non-zero parasitic resistance ${R}_{\mathrm{YP}}$ and ${R}_{\mathrm{YN}}$ at two difference current inputs YP and YN have values ${R}_{\mathrm{YP}}=1.27$ Ω and ${R}_{\mathrm{YN}}=0.51$ Ω, respectively,
- the parasitic resistance ${R}_{\mathrm{W}}$ and parasitic capacitance ${C}_{\mathrm{W}}$ appear between the auxiliary terminal W of the UVC and ground and their values are ${R}_{\mathrm{W}}=88.19$ M$\mathsf{\Omega}\phantom{\rule{3.33333pt}{0ex}}\parallel \phantom{\rule{3.33333pt}{0ex}}{C}_{\mathrm{W}}=4.19$ pF, respectively,
- the non-zero parasitic resistance ${R}_{\mathrm{ZP}}$ and ${R}_{\mathrm{ZN}}$ at mutually inverse voltage outputs ZP and ZN have values ${R}_{\mathrm{ZP}}=1.01$ Ω and ${R}_{\mathrm{ZN}}=0.71$ Ω, respectively.

- at the node ①, a parasitic impedance ${Z}_{\mathrm{X}}=1/{Y}_{\mathrm{X}}={R}_{\mathrm{X}}\parallel (1/s{C}_{\mathrm{X}})$ can be seen. Note that the capacitance ${C}_{\mathrm{X}}$ and resistance ${R}_{\mathrm{X}}$ can be absorbed into external capacitor ${C}_{1}$ and resistor ${R}_{1}$, respectively, as they appear in parallel. Hence, in further analysis the total capacitance and resistance at this node will be considered ${C}_{1}^{\prime}$ and ${R}_{1}^{\prime}={Z}_{1}^{\prime}$,
- the node ② at low-impedance terminal YP is characterized by a parasitic impedance ${Z}_{\mathrm{YP}}={R}_{\mathrm{YP}}$, which is in series with external capacitor ${C}_{2}$, and by assuming it as an impedance ${Z}_{{C}_{2}}=1/{Y}_{{C}_{2}}=1/s{C}_{2}$, the total impedance at this node can be described as ${Z}_{{C}_{2}}^{\prime}$,
- finally, the node ③ can be characterized by a parasitic impedance ${Z}_{\mathrm{YN}}={R}_{\mathrm{YN}}$, which appears in series with external resistor ${R}_{2}={Z}_{2}$. Hence, the total impedance at this node can be labeled as ${Z}_{2}^{\prime}$.

## 4. Experimental Verification

## 5. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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**Figure 4.**Measured magnitude (blue line) and phase (red line) responses of the VM APF for outputs: (

**a**) ${V}_{\mathrm{o}1}$; (

**b**) ${V}_{\mathrm{o}2}$ with cursor position at ${f}_{\mathrm{p}\_\mathrm{meas}}$.

**Figure 5.**Measured noise variations for both voltage outputs versus frequency (red line—${V}_{\mathrm{o}1}$, blue line—${V}_{\mathrm{o}2}$).

**Figure 6.**Measured time-domain waveforms (blue line—input, orange line—${V}_{\mathrm{o}1}$, pink line—${V}_{\mathrm{o}2}$).

**Figure 7.**Measured Fourier spectrum of the output signals: (

**a**) ${V}_{\mathrm{o}1}$, (

**b**) ${V}_{\mathrm{o}2}$.

Reference | ABB Type | Grounded R/C | Floating R/C | Simul./Meas. | ${\mathit{f}}_{\mathbf{p}}$ (Hz) | Supply (V) |
---|---|---|---|---|---|---|

Figure 4b in [5] | FD-OPA & CCII | 0/0 | 1/1 | Meas. | 29.6 k | ±5 |

Figure 1 in [6] | FD-OPA | 0/0 | 0/1 | Simul. | 92 k | ±1.5 |

Figure 2 in [7] | ICCII+ | 0/0 | 1/1 | Simul. | 1.59 M | ±1.25 |

Figure 2 in [8] | FDCCII | 0/1 | 1/0 | Simul. | 159.2 k | ±3 |

Figure 2 in [9] | DV-DXCCII & 1 NMOS | 0/1 | 0/0 | Simul. | 27 M | ±0.9 |

Figure 3 in [10] | VDIBA | 0/0 | 0/1 | Both | S: 9.44 M; M: 1 M | ±0.9; ±5 |

Figure 1 in [11] | UVC & OTA | 0/0 | 0/1 | Simul. | 3 M | ±2 |

Figure 3 in [12] | UVC | 2/0 | 1.I | Both | S: 3.5 M; M: 160.4 k | ±2.5; ±1.65 |

Figure 2a in [13] | UVC | 2/0 | 0/1 | Simul. | 1.17 M | ±2.5 |

Figure 2b in [13] | UVC | 2/0 | 0/1 | Both | S: 1.17 M; M: 746.4 k | ±2.5; ±1.65 |

Figure 2 in [14] | UVC | 0/1 | 2/0 | Simul. | 390 k | ±2.5 |

This work | UVC | 2/2 | 0/0 | Meas. | 277.8 k | ±1.65 |

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**MDPI and ACS Style**

Herencsar, N.; Koton, J.; Hanak, P.
Universal Voltage Conveyor and its Novel Dual-Output Fully-Cascadable VM APF Application. *Appl. Sci.* **2017**, *7*, 307.
https://doi.org/10.3390/app7030307

**AMA Style**

Herencsar N, Koton J, Hanak P.
Universal Voltage Conveyor and its Novel Dual-Output Fully-Cascadable VM APF Application. *Applied Sciences*. 2017; 7(3):307.
https://doi.org/10.3390/app7030307

**Chicago/Turabian Style**

Herencsar, Norbert, Jaroslav Koton, and Pavel Hanak.
2017. "Universal Voltage Conveyor and its Novel Dual-Output Fully-Cascadable VM APF Application" *Applied Sciences* 7, no. 3: 307.
https://doi.org/10.3390/app7030307