Variable gain amplifier

1. A variable gain amplifier comprising:

an input voltage node;

an integrator having an input, an output and a feedback loop; and

a plurality of input chains connected in parallel between the input voltage node and the input of the integrator, each input chain including a resistor and a first switch connected in series; characterised in that:

the resistor of each input chain is connected to the input voltage node; and

the integrator feedback loop includes a plurality of second switches connected in parallel, each second switch connected to an intermediate node between the resistor and first switch of a respective input chain and coupled to the output of the integrator, wherein the resistance of the resistors in the input chains is scaled by a scaling factor with respect to one another and the on-resistances of the first and second switches connected to each intermediate node are scaled by the corresponding scaling factor.

2. The variable gain amplifier of claim 1 , wherein said switches comprise transistors.

3. The variable gain amplifier of claim 2 , wherein the on-resistances of said transistors are scaled by scaling one or both of the width and length of the transistors.

4. The variable gain amplifier of claim 1 , wherein the on-resistance of a first switch in an output chain is not equal to the on-resistance of the corresponding second switch connected to the input chain.

5. The variable gain amplifier of claim 1 , wherein the scaling factor applied to the resistor and first and second switches of a first input chain with respect to a further input chain is not equal to the scaling factor applied to the resistor and first and second switch of a second input chain with respect to the further input chain.

6. The variable gain amplifier of claim 1 , wherein the integrator comprises an operational amplifier.

7. An analogue-to-digital converter including a variable gain amplifier according to claim 1 .