Low-Gm Transconductor Using Op-Amp Current Scaling
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Solution Overview
Problem
Designing transconductance elements in integrated circuits with very low transconductance poses a challenge due to the large die area required, which is proportional to the resistance needed, leading to bandwidth degradation and inefficiency.
Innovation Solution
The design employs a transconductor circuit with a resistor coupled to a reference node and an operational amplifier, where the gate voltage of a transistor is controlled to mirror current through a smaller transistor, reducing transconductance while maintaining a rail-to-rail voltage input swing, and using adjustable transistor ratios and switchable resistors to dynamically control transconductance.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a large resistance is used to achieve very low transconductance, then the transconductance value is reduced, but the die area increases proportionally
Solution Approach 1:
An operational amplifier is introduced as an intermediary element to control the effective resistance seen by the signal. The op-amp actively adjusts the voltage at the resistor's terminal to create a feedback mechanism that presents a high impedance to the signal while using a physically smaller resistor, thereby achieving low transconductance without proportionally large die area
Solution Approach 2:
The circuit dynamically changes the effective resistance parameter through active control. By varying the op-amp's output voltage in response to input signals, the effective resistance can be adjusted to achieve the desired low transconductance value while maintaining a compact physical resistor size
2Measurement precision
If a large resistance is used to achieve very low transconductance, then the transconductance value is reduced, but the bandwidth degrades
Solution Approach 1:
The operational amplifier implements a feedback mechanism that actively compensates for the bandwidth-limiting effects of large resistance. The feedback loop detects changes in input voltage and adjusts the resistor's terminal voltage accordingly, maintaining signal integrity and extending the effective bandwidth while achieving the desired low transconductance
Solution Approach 2:
The op-amp acts as an intermediary that decouples the relationship between resistance value and bandwidth. It presents a high impedance to preserve low transconductance while internally compensating for bandwidth degradation through active voltage control, effectively breaking the direct trade-off between these two parameters
3Adaptability or versatility
If transistor size ratio is adjusted to control transconductance, then transconductance becomes configurable, but device complexity increases
Solution Approach 1:
The operational amplifier serves multiple functions simultaneously: it provides voltage buffering, implements feedback control, and enables the transistor pair to achieve configurable transconductance. This multi-functionality reduces the need for additional dedicated control circuits, thereby limiting the increase in overall device complexity while maintaining high adaptability
Data Source
AI summary
Techniques for designing a transconductor configurable to have a low transconductance. In one aspect, a voltage to current conversion module is coupled to a 1:N current replication module. The voltage to current conversion module may be implemented as an operational amplifier configured with negative feedback to generate a current through a transistor, wherein such current is proportional to the difference between an input voltage and a common-mode reference. The 1:N current replication module is configured to mirror the generated current in another transistor, to a predetermined ratio, such that the output current is also proportional to the difference between the input voltage and the common-mode reference. In exemplary embodiments, the output stage driving the output current may be configured to operate as a Class A, Class B, or Class AB type amplifier.


