Differential Impedance Matching Circuit With Second Harmonic Suppression

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Solution Overview

Problem

Conventional balun circuits face challenges in impedance matching, particularly when dealing with parallel parasitic impedances, and struggle to effectively suppress common mode signals at the second harmonic frequency, leading to difficulties in designing matching networks that operate optimally near the series resonant frequency and result in power transfer losses.

Innovation Solution

A matching network design that includes inductors and capacitors configured to provide an optimum differential antenna impedance at the fundamental frequency and a second harmonic trap, using a series resonant circuit to suppress common mode signals, allowing for independent optimization of fundamental and harmonic frequency operations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If a conventional LC resonant circuit matching network is used, then impedance matching can be achieved near the series resonant frequency, but the network shows high impedance between differential inputs making it difficult to generate optimum antenna impedance and requires highly filtered supply voltage rails

Engineering Contradiction:
Improveimpedance matching performanceVSAvoidcircuit complexity and supply filtering requirements
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The matching network is divided into separate functional blocks: a differential to single-ended transformation stage using coupled inductors, and a second harmonic suppression stage using a shunt capacitor at the single-ended output. This segmentation allows each block to be optimized independently, reducing overall circuit complexity while maintaining matching performance without requiring highly filtered supply rails.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The second harmonic suppression function is extracted and implemented separately from the impedance matching function. By placing a shunt capacitor specifically targeted at the second harmonic frequency at the single-ended output, the harmful second harmonic signals are removed without interfering with the fundamental frequency matching network design, thereby simplifying the overall circuit.

Inventive Principle:
Principle #2Taking out (Extraction)

2Object-affected harmful factors

If a second harmonic trap is introduced into the conventional matching network, then common mode suppression at the second harmonic frequency can be achieved, but the trap influences the fundamental resonant frequency complicating the design process

Engineering Contradiction:
Improvecommon mode second harmonic signalVSAvoiddesign complexity
Core Design Contradiction:
Object-affected harmful factorsVSDevice complexity

Solution Approach 1:

The circuit is segmented into independent functional stages: the differential to single-ended transformation stage handles fundamental frequency matching, while the second harmonic suppression stage (shunt capacitor at the single-ended output) handles only the second harmonic. This segmentation isolates the harmonic suppression function from the fundamental frequency matching, allowing independent optimization without mutual interference.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The single-ended output node acts as an intermediary between the differential input stage and the antenna load. By placing the second harmonic suppression capacitor at this intermediary point, the harmful second harmonic signals are suppressed after the transformation stage, preventing them from affecting the fundamental frequency matching while maintaining simple design procedures.

Inventive Principle:
Principle #24Intermediary (Mediator)

3Loss of energy

If conventional balun circuits are used for differential to single-ended transformation, then impedance matching can be achieved, but power transfer losses occur and common mode signals at the second harmonic frequency are not effectively suppressed

Engineering Contradiction:
Improvepower transfer lossVSAvoidcommon mode second harmonic signal
Core Design Contradiction:
Loss of energyVSObject-affected harmful factors

Solution Approach 1:

The coupled inductors are designed to resonate at the fundamental frequency, creating a resonant condition that enhances power transfer efficiency. The resonant oscillation between the coupled inductors minimizes energy losses during the differential to single-ended transformation process while the shunt capacitor at the output suppresses second harmonic common mode signals.

Inventive Principle:
Principle #18Mechanical vibration

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 proposed solution achieves efficient power transfer and significant common mode suppression at both fundamental and second harmonic frequencies, improving the stability and performance of balun circuits by decoupling the design of fundamental and harmonic frequency behaviors.

Implementation Method 1

a third capacitor C3 20 is coupled between the common circuit node 28 and a good Rf ground such that the third capacitor C3 20 provides second harmonic suppression of a common mode signal present at the first 10 and second 12 differential input nodes

Methodology Applied
Scientific EffectSeries resonance: Resonance

Implementation Method 2

a first inductor L11 16 coupled between the first differential input node 10 and a common circuit node 28 and a second inductor L12 18 coupled between the second differential input node 12 and the common circuit node 28

Methodology Applied
Scientific EffectElectromagnetic coupling: Electromagnetic Induction

Data Source

PatentUS7755448B2Differential impedance matching circuit and method with harmonic suppression
Publication Date: 2010.07.13 SILICON LABORATORIES INC
  • US7755448B2 patent drawing
  • US7755448B2 patent drawing
  • US7755448B2 patent drawing

AI summary

Matching network circuits and a method are shown for suppressing a harmonic frequency in a matching network. The circuits and method involve impedance matching first and second differential input nodes to a single ended output node using a first reactive impedance selected to pass a resonant frequency. They also involve suppressing a harmonic frequency of a common mode signal presented at the first and second differential input nodes by providing a series resonance from the first and second differential input nodes to a radio frequency ground potential, where the series resonance is selected to pass the harmonic frequency to the radio frequency ground potential.