Before diving into the design rules, let’s define what we mean by high-frequency PCBs. These are circuit boards that operate at frequencies above 100 MHz, where the wavelength of the signal becomes comparable to the dimensions of the PCB traces. At these frequencies, the behavior of the signals becomes more complex, and designers must account for factors such as Impedance Matching , crosstalk, and electromagnetic interference (EMI).
Rule 1: Choose the Right Substrate Material
The choice of substrate material is crucial for high-frequency PCB Design . The substrate’s dielectric constant (Dk) and dissipation factor (Df) directly impact the signal propagation and losses. For high-frequency applications, materials with low Dk and Df values are preferred, as they minimize signal distortion and attenuation. Some commonly used high-frequency substrate materials include:
Material
Dielectric Constant (Dk)
Dissipation Factor (Df)
Rogers RO4350B
3.48
0.0037
PTFE (Teflon)
2.1
0.0002
LTCC
5.9
0.002
Rule 2: Control Impedance
Impedance control is essential for maintaining signal integrity in high-frequency PCBs. The characteristic impedance of a trace should match the impedance of the source and load to minimize reflections and signal distortion. The target impedance is typically 50Ω for single-ended traces and 100Ω for differential pairs. To achieve the desired impedance, designers must carefully select the trace width, thickness, and spacing based on the substrate properties and the target impedance.
Rule 3: Minimize Trace Length
At high frequencies, the length of the traces becomes a critical factor. Longer traces introduce more delay, attenuation, and the potential for signal integrity issues. To minimize these effects, designers should keep the traces as short as possible, especially for critical signals such as clocks and high-speed data lines. When routing traces, prioritize direct paths and avoid unnecessary meanders or detours.
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” 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Rule 4: Use Proper Grounding Techniques
Proper grounding is essential for minimizing EMI and ensuring stable signal referencing. In high-frequency PCBs, designers should use a solid ground plane to provide a low-impedance return path for the signals. The ground plane should be continuous and uninterrupted, with minimal splits or gaps. Stitching vias can be used to connect ground planes on different layers, ensuring a consistent reference throughout the board.
Rule 5: Implement Decoupling Capacitors
Decoupling capacitors play a crucial role in stabilizing the power supply and reducing high-frequency noise. These capacitors should be placed as close as possible to the power pins of the ICs to minimize the inductance of the power traces. The selection of decoupling capacitor values depends on the frequency range of interest and the IC’s power requirements. A combination of bulk capacitors (e.g., 10μF) and smaller ceramic capacitors (e.g., 0.1μF) is often used to provide wideband decoupling.
Rule 6: Optimize Via Design
Vias are used to connect traces on different layers of the PCB, but they can introduce discontinuities and reflections at high frequencies. To minimize these effects, designers should optimize the via design by:
Using smaller via diameters to reduce capacitance
Placing vias close to the signal source to minimize stub length
Employing via stitching to create a continuous return path
Considering the use of blind or buried vias for dense designs
Rule 7: Manage Crosstalk
Crosstalk occurs when signals on adjacent traces interfere with each other, leading to signal distortion and noise. To minimize crosstalk, designers should:
Increase the spacing between traces, especially for high-speed signals
Route sensitive traces away from noisy traces or power lines
Use guard traces or ground planes to shield sensitive signals
Consider the use of differential signaling for critical high-speed traces
Rule 8: Implement Termination Techniques
Proper termination is essential for minimizing reflections and ensuring clean signal transitions. The choice of termination technique depends on the signal characteristics and the PCB layout. Some common termination techniques for high-frequency PCBs include:
Series termination: A resistor placed near the source to match the trace impedance
Parallel termination: A resistor placed at the load end to absorb reflections
AC termination: A combination of resistors and capacitors to provide wideband termination
Rule 9: Optimize Power Distribution Network (PDN)
The power distribution network (PDN) is responsible for delivering clean and stable power to the ICs on the PCB. At high frequencies, the PDN must be carefully designed to minimize impedance and ensure adequate decoupling. Some key considerations for PDN design include:
Using wide and short power traces to minimize inductance
Placing decoupling capacitors close to the ICs
Employing multiple power and ground planes for low-impedance power delivery
Considering the use of embedded capacitance or capacitive laminates for improved decoupling
Rule 10: Simulate and Verify the Design
Before fabricating the PCB, it is essential to simulate and verify the design to identify and address any potential issues. High-frequency PCB Design Software tools offer various simulation capabilities, such as:
Signal integrity analysis to evaluate the quality of the signals
Power integrity analysis to assess the stability of the power delivery network
EMI analysis to identify potential sources of electromagnetic interference
By simulating the design and making necessary adjustments, designers can optimize the PCB’s performance and avoid costly redesigns.
Rule 11: Follow Manufacturing Guidelines
Finally, it is crucial to follow the manufacturing guidelines provided by the PCB fabricator. These guidelines ensure that the PCB can be manufactured reliably and with the desired performance. Some key manufacturing considerations for high-frequency PCBs include:
Specifying the correct copper weight and trace dimensions
Adhering to the minimum trace and space requirements
Providing clear instructions for any special requirements, such as controlled impedance or specific materials
By working closely with the PCB fabricator and following their guidelines, designers can ensure a smooth transition from design to manufacturing.
Frequently Asked Questions (FAQ)
Q1: What is the difference between high-frequency and low-frequency PCBs?
A1: High-frequency PCBs operate at frequencies above 100 MHz, where the wavelength of the signal becomes comparable to the dimensions of the PCB traces. This leads to more complex signal behavior and requires careful consideration of factors such as impedance matching, crosstalk, and EMI. Low-frequency PCBs, on the other hand, operate at lower frequencies and are less sensitive to these high-frequency effects.
Q2: What materials are commonly used for high-frequency PCBs?
A2: Some commonly used high-frequency substrate materials include Rogers RO4350B, PTFE (Teflon), and LTCC. These materials have low dielectric constant (Dk) and dissipation factor (Df) values, which minimize signal distortion and attenuation at high frequencies.
Q3: Why is impedance control important in high-frequency PCB design?
A3: Impedance control is essential for maintaining signal integrity in high-frequency PCBs. By matching the characteristic impedance of the traces to the impedance of the source and load, designers can minimize reflections and signal distortion, ensuring clean and reliable signal transmission.
Q4: What is the purpose of decoupling capacitors in high-frequency PCBs?
A4: Decoupling capacitors play a crucial role in stabilizing the power supply and reducing high-frequency noise. They are placed close to the power pins of the ICs to provide a local reservoir of charge and minimize the inductance of the power traces. This helps maintain a clean and stable power supply for the ICs, reducing the impact of high-frequency noise on signal integrity.
Q5: How can designers minimize crosstalk in high-frequency PCBs?
A5: To minimize crosstalk in high-frequency PCBs, designers can:
– Increase the spacing between traces, especially for high-speed signals
– Route sensitive traces away from noisy traces or power lines
– Use guard traces or ground planes to shield sensitive signals
– Consider the use of differential signaling for critical high-speed traces
By implementing these techniques, designers can reduce the interference between adjacent traces and maintain signal integrity in high-frequency PCBs.
Conclusion
Designing high-frequency PCBs requires a deep understanding of signal behavior and careful consideration of various design factors. By following the 11 design rules outlined in this article, designers can create PCBs that deliver optimal performance and maintain signal integrity at high frequencies. From choosing the right substrate material to optimizing the power distribution network and following manufacturing guidelines, each rule plays a critical role in the success of the high-frequency PCB design.
As technology continues to advance and the demand for high-speed electronic devices grows, the importance of effective high-frequency PCB design will only increase. By staying up-to-date with the latest design techniques and best practices, PCB designers can meet the challenges of high-frequency design and create reliable, high-performance electronic products.
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