Resistor-Bridge PUF Cells for Stable Low-Bias Random Number Generation

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Solution Overview

Problem

Implementing a Physical Unclonable Function (PUF) apparatus that generates a persistent, random number with equal probability for each output value, is low-cost in terms of power and area, and remains stable over time, while minimizing systematic bias and component influence.

Innovation Solution

A PUF apparatus comprising a plurality of PUF cells with a full resistor bridge or H-bridge configuration, where random manufacturing differences create a persistent random number based on the impedance difference between the two sides of the bridge, with a determination unit to select and read out PUF values from these cells, and a readout unit to convert analog signals to digital, using a voltage reference generator to maintain stability.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If a PUF apparatus uses full resistor bridge configuration with random manufacturing differences, then randomness and persistence of generated numbers are improved, but systematic bias and component influence may worsen

Engineering Contradiction:
Improvepersistence of random numberVSAvoidsystematic bias
Core Design Contradiction:
ReliabilityVSObject-generated harmful factors

Solution Approach 1:

The patent employs asymmetric resistor bridge configuration where the two sides of the bridge have deliberately different nominal resistance values. This asymmetry ensures that random manufacturing variations produce measurable differential voltages while the asymmetric design itself helps cancel out systematic biases through differential measurement techniques

Inventive Principle:
Principle #4Asymmetry

Solution Approach 2:

The patent introduces intermediate calibration and measurement steps between the resistor bridge and final PUF value generation. A determination unit measures and compensates for systematic biases in the resistor values, using these measurements as intermediaries to correct the raw signals before generating the final persistent random number

Inventive Principle:
Principle #24Intermediary (Mediator)

2Use of energy by stationary object

If a PUF apparatus minimizes components to reduce power and area, then power consumption and area are reduced, but measurement precision and reliability may worsen

Engineering Contradiction:
Improvepower consumptionVSAvoidPUF value accuracy
Core Design Contradiction:
Use of energy by stationary objectVSMeasurement precision

Solution Approach 1:

The patent combines multiple functions into the determination unit, which simultaneously performs bias measurement, compensation calculations, and PUF value generation. This functional integration reduces the need for separate calibration circuits and components, minimizing power consumption and area while maintaining measurement precision through software-based compensation algorithms

Inventive Principle:
Principle #5Merging (Combining)

3Device complexity

If a PUF apparatus uses minimal components, then device complexity is reduced, but reliability and stability over time may worsen

Engineering Contradiction:
Improvenumber of componentsVSAvoidstability over time
Core Design Contradiction:
Device complexityVSReliability

Solution Approach 1:

The patent implements self-calibration and self-compensation mechanisms within the determination unit. The system automatically measures its own systematic biases and applies corrections without external intervention, maintaining reliability over time despite using minimal physical components. This self-service approach compensates for aging and environmental variations through software algorithms

Inventive Principle:
Principle #25Self-service

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The solution ensures a persistent random number with equal probability, reducing power consumption and area, while minimizing systematic bias and maintaining stability over time, suitable for applications like IoT device security.

Implementation Method 1

each PUF cell comprising a first potential divider comprising a first resistor and a second resistor connected to each other in series at a first measurement point; and a second potential divider, coupled in parallel to the first potential divider, and comprising a third resistor and a fourth resistor connected to each other in series at a second measurement point

Methodology Applied
Scientific EffectElectrical Resistance: Electrical Resistance

Implementation Method 2

a first potential divider comprising a first resistor and a second resistor connected to each other in series at a first measurement point

Methodology Applied
Scientific EffectVoltage Division:

Data Source

PatentEP4354793A1Resistor based physical unclonable function
Publication Date: 2024.04.17 ANALOG DEVICES INT UNLTD CO
  • EP4354793A1 patent drawingFigure 1
  • EP4354793A1 patent drawingFigure 2~3
  • EP4354793A1 patent drawingFigure 4a

AI summary

A Physical Unclonable Function, PUF, apparatus is disclosed. The apparatus comprises a plurality of PUF cells that each comprise a first potential divider and a second potential divider. The apparatus also comprises a determination unit that comprises a selection unit for selecting at least one of the plurality of PUF cells, and a readout unit coupled to each selected PUF cell. The readout unit is configured to determine a PUF value for the selected PUF cell based on a difference between a first analog voltage at the first potential divider and a second analog voltage at the second potential divider.