Correction to: Current inverting metamutator, its implementation with a new single active device and applications

Correction to: Analog Integrated Circuits and Signal Processing (2018) 97:15–25 https://doi.org/10.1007/s10470-018-1239-9

Voltage Inverting Metamutator (VIM) and Current Inverting Metamutator (CIM) recently introduced in [1] were defined, respectively, with polarities shown in Fig. 1 and relations (1) and (2). However, a careful examination reveals that there is no difference between VIM and CIM of Fig. 1b as changing the reference directions of v_n and i_n in VIM gives CIM as shown in Figs. 1b and 2. So the 4-ports in Fig. 1a, b are the same.

Fig. 1

a Block diagram of VIM, b wrong block diagram of CIM in [1]

Fig. 2

Correct block diagram of CIM

The CIM as given by Fig. 2, with the same reference directions as those of VIM, and defining relation (2) is an entirely different 4-port. In fact, their circuit level realizations are respectively given in Fig. 3a, b.

Fig. 3

Circuit level realization of a VIM, b CIM

$$\left[ {\begin{array}{*{20}c} {i_{k} } \\ {i_{l} } \\ {v_{m} } \\ {v_{n} } \\ \end{array} } \right] = \left[ {\begin{array}{*{20}c} {\begin{array}{*{20}c} 1 & 0 \\ 0 & 1 \\ \end{array} } & {\begin{array}{*{20}c} 0 & 0 \\ 0 & 0 \\ \end{array} } \\ {\begin{array}{*{20}c} 0 & 0 \\ 0 & 0 \\ \end{array} } & {\begin{array}{*{20}c} 1 & 0 \\ 0 & 1 \\ \end{array} } \\ \end{array} } \right]\left[ {\begin{array}{*{20}c} { \begin{array}{*{20}c} {i_{m} } \\ {i_{n} } \\ \end{array} } \\ {\begin{array}{*{20}c} { v_{l} } \\ { - v_{k} } \\ \end{array} } \\ \end{array} } \right]$$

(1)

$$\left[ {\begin{array}{*{20}c} {i_{k} } \\ {i_{l} } \\ {v_{m} } \\ {v_{n} } \\ \end{array} } \right] = \left[ {\begin{array}{*{20}c} {\begin{array}{*{20}c} 1 & 0 \\ 0 & 1 \\ \end{array} } & {\begin{array}{*{20}c} 0 & 0 \\ 0 & 0 \\ \end{array} } \\ {\begin{array}{*{20}c} 0 & 0 \\ 0 & 0 \\ \end{array} } & {\begin{array}{*{20}c} 1 & 0 \\ 0 & 1 \\ \end{array} } \\ \end{array} } \right]\left[ {\begin{array}{*{20}c} {\begin{array}{*{20}c} { i_{m} } \\ { - i_{n} } \\ \end{array} } \\ { \begin{array}{*{20}c} { v_{l} } \\ {v_{k} } \\ \end{array} } \\ \end{array} } \right]$$

(2)

Everything else in [1], including realizations of CIM with IC blocks, remains unaltered.