. 2023 Jan 6;23(2):688. doi: 10.3390/s23020688

Table 1.

Obtaining variant filtering function of voltage-mode analog filter.

Output	Input	Filtering Function	Transfer Functions
$V_{o 1}$	$V_{i n 2} = V_{i n 5} = V_{i n}$	Non-inverting LP	$g_{m 1} g_{m 2} / D (s)$
	$V_{i n 3} = V_{i n}$	Non-inverting BP	$s C_{1} g_{m 2} / D (s)$
	$V_{i n 4} = V_{i n}$	Non-inverting BP	$s C_{1} g_{m 2} / D (s)$
	$V_{i n 5} = V_{i n}$	Inverting BP	$- s C_{1} g_{m 2} / D (s)$
	$V_{i n 1} = V_{i n}$	Non-inverting HP	$s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 6} = V_{i n}$	Non-inverting HP	$s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 7} = V_{i n}$	Inverting HP	$- s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 1} = V_{i n 2} = V_{i n 5} = V_{i n}$	Non-inverting BS	$s^{2} C_{1} C_{2} + g_{m 1} g_{m 2}$
	$V_{i n 2} = V_{i n 5} = V_{i n 6} = V_{i n}$	Non-inverting BS	$s^{2} C_{1} C_{2} + g_{m 1} g_{m 2}$
$V_{o 2}$	$V_{i n 5} = V_{i n}$	Non-Inverting LP	$g_{m 1} g_{m 2} / D (s)$
	$V_{i n 1} = V_{i n}$	Inverting BP	$- s C_{2} g_{m 1} / D (s)$
	$V_{i n 2} = V_{i n}$	Non-inverting BP	$s C_{2} g_{m 1} / D (s)$
	$V_{i n 6} = V_{i n}$	Inverting BP	$- s C_{2} g_{m 1} / D (s)$
	$V_{i n 7} = V_{i n}$	Non-inverting BP	$s C_{2} g_{m 1} / D (s)$
	$V_{i n 1} = V_{i n 3} = V_{i n}$	Non-inverting HP	$s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 1} = V_{i n 4} = V_{i n}$	Non-inverting HP	$s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 3} = V_{i n 6} = V_{i n}$	Non-inverting HP	$s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 4} = V_{i n 6} = V_{i n}$	Non-inverting HP	$s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 1} = V_{i n 3} = V_{i n 5} = V_{i n}$	Non-inverting BS	$s^{2} C_{1} C_{2} + g_{m 1} g_{m 2} / D (s)$
	$V_{i n 1} = V_{i n 4} = V_{i n 5} = V_{i n}$	Non-inverting BS	$s^{2} C_{1} C_{2} + g_{m 1} g_{m 2} / D (s)$
	$V_{i n 3} = V_{i n 5} = V_{i n 6} = V_{i n}$	Non-inverting BS	$s^{2} C_{1} C_{2} + g_{m 1} g_{m 2} / D (s)$
	$V_{i n 4} = V_{i n 5} = V_{i n 6} = V_{i n}$	Non-inverting BS	$s^{2} C_{1} C_{2} + g_{m 1} g_{m 2} / D (s)$
	$V_{i n 3} = V_{i n 5} = V_{i n 1} = V_{i n 6} = V_{i n}$	Non-inverting AP	$s^{2} C_{1} C_{2} - s C_{2} g_{m 1} + g_{m 1} g_{m 2} / D (s)$
$V_{o 3}$	$V_{i n 3} = V_{i n}$	Non-inverting LP	$g_{m 1} g_{m 2} / D (s)$
	$V_{i n 4} = V_{i n}$	Non-inverting LP	$g_{m 1} g_{m 2} / D (s)$
	$V_{i n 5} = V_{i n}$	Inverting LP	$- g_{m 1} g_{m 2} / D (s)$
	$V_{i n 1} = V_{i n}$	Non-inverting BP	$s C_{2} g_{m 1} / D (s)$
	$V_{i n 2} = V_{i n}$	Inverting BP	$- s C_{2} g_{m 1} / D (s)$
	$V_{i n 7} = V_{i n 5} = V_{i n}$	Non-inverting HP	$s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 3} = V_{i n 6} = V_{i n}$	Inverting HP	- $s^{2} C_{1} C_{2} / D (s)$
	$V_{i n 7} = V_{i n}$	Non-inverting BS	$s^{2} C_{1} C_{2} + g_{m 1} g_{m 2} / D (s)$
	$V_{i n 6} = V_{i n}$	Inverting BS	$- (s^{2} C_{1} C_{2} + g_{m 1} g_{m 2}) / D (s)$
	$V_{i n 2} = V_{i n 7} = V_{i n}$	Non-inverting AP	$s^{2} C_{1} C_{2} - s C_{2} g_{m 1} + g_{m 1} g_{m 2} / D (s)$
	$V_{i n 1} = V_{i n 6} = V_{i n}$	Inverting AP	$- (s^{2} C_{1} C_{2} - s C_{2} g_{m 1} + g_{m 1} g_{m 2}) / D (s)$

where $D (s) = s^{2} C_{1} C_{2} + s C_{2} g_{m 1} + g_{m 1} g_{m 2}$ .