Differential trace impedance calculator. Trace impedance control is a simple matter of properly sizing traces. Differential trace impedance calculator

 
Trace impedance control is a simple matter of properly sizing tracesDifferential trace impedance calculator  The signal is now too slow and there will be no reflections due to impedance mismatch

For coupled surface microstrip, Wadell[1] gives 7 pages of equations to evaluate the impedance. Question #1: How to determine the required spacing between length-matched signals or differential pairs and the adjacent layers? If you are length matching that implies that the interface is probably fast enough to require controlled impedance. Trace Thickness (T) 2. 2H, the formula for the non-embedded. The characteristic impedance of your microstrips is determined by the trace width for a given layer stackup. 48 e-0. KB: Route traces between flex and rigid regions. Differential Impedance: Single-ended Impedance: Significant field collisions (bad design--will be too much crosstalk): In short, do not put much faith in the single calculators you find online. There are 3 types of single-ended models: single-ended non-coplanar, coplanar single-ended, and coplanar single-ended without ground. The board contains two inner layers of GND and a ground plane around the RF track: To decide the thickness of the RF track, I used an online calculator:. CAN_L is pin 2 and CAN_H is pin 7 on the standard 9-pin D-SUB connector. 1. The calculator shows 90 ohms can be achieved using. Note: The 6-Layer board temporarily only provides JLC3313 Stackup. where Z 0,surf can be computed as specified in Eq. For example, with a thickness of 0. It supports both balanced and unbalanced lines. 0 and (t/h) less than 0. Differential impedance, Z diff, is the impedance between the two conductors. Since the op is using 1/2 oz copper this should be taken into account. 5GHz. When routing differential signals across common PCB materials, each trace of the pair will experience different dielectric constants and corresponding signal velocities due to the differences in static permittivity (Ɛr) of theCalculate Coplanar impedance for given PCB parameters. Altium Designer includes a PCB trace impedance calculator, PCB trace width calculator under IPC 2152, and a plethora of other important design tools. It is especially required when high-frequency signals propagate through a circuit board trace. Z diff equals Ra||(2Rb) (p model) or 2R 1 (T model). 2) S/T > 5. For example, a single 0. So, let’s finish this. 159 OS X 10_15_7 EasyEDA. Calculate the impedance gradient and the reflection coefficient gradient. A differential stripline pair refers to two traces located between two reference plane layers, which are routed as a differential pair. 6mm thick. Try TNT or TxLine. THESE FORMULAS ARE APPROXIMATIONS! They should not be used when a high degree of accuracy is required. Please bear in mind the copper trace, minimum etch, manufacturing capability etc of the pcb supplier. Coplanar waveguides are open quasi-TEM waveguide geometries that use copper pour and a ground plane to provide shielding along the length of a PCB trace. 03) it gives me almost 160 Ohm - and even if use 53mil conductor height or. 6mm 4 layer PCB, 1oz outer copper, 0. Here, we need to consider termination for the traces used in the above image, as well as the target impedance and skew limits between various traces. calculate the impedance and capacitance of PCB traces. 25mm trace. Calculate the Differential Microstrip Impedance of a transmission line based on the the distance between the strips, height of the substrate, trace thickness and dielectric constant of the substrate. . This note describes some. Assign the trace width and spacing that will make the impedance of the differential traces - the desired impedance. There are four different types of impedance used in characterizing differential trace impedances. The capacitor value may be traded off to. g. Consider some of these vital PCB routing guidelines: Keep fixed impedance traces for a particular interface or signaling protocol on the same. KB: Route traces between flex and rigid regions. Note that Zdiff (differential impedance) is equal to 2 * Zodd, so a Zodd of 45 Ω gives us a Zdiff of 90 Ω. Please refer to the pcb trace calculator for dimensioning to achieve the target differential impedance. While this calculator will provide a baseline, any final design considerations should be made towards loss, dispersion, copper roughness, phase shift, etc. • Differential. The width of each track should be as per the requirements. 1. 5. Just as important as determining an appropriate trace width for a single-ended trace is determination of an appropriate spacing between two traces in a differential pair. Using a differential pair to avoid common mode noise is common in audio circuits. Back to Resources Use our free impedance calculator to ensure your design is error-free! Impedance Calculator Structure Type Single Ended. Since this is the flex board it is very thin 8 mills total thickness, those it is difficult to create required hight to the reference plane. Calculates the characteristic impedance and per-unit-length parameters. Far end cross talk is eliminated by using stripline routing. Create a new impedance profile, then select Single-Coplanar or Differential-Coplanar from the Impedance Profile Type drop-down list. 4. The reason differential traces$egingroup$ @Bryce, whether the individual line's impedance is half the differential impedance depends on whether the pair is "strongly coupled" or "weakly coupled". USB traces must be 90 Ohms differential. Hello! I'm trying to calculate the trace width for a differential pair (carrying MIPI CSI-2 signals), using JLC's impedance calculator. Therefore, for fast enough rise times, the impedance it offers can be significant. Differential Stripline Impedance Calculator. For an embedded (internal) microstrip, the formulas provided in paragraph 4. This is an approximate critical ratio. The article will not go into the details of these other aspects that indirectly are part of the impedance controlled traces challenge. You need to use an impedance calculator tool to figure out the geometry for routing your differential pairs. Use the following guidelines. You will want to control impedance with smaller variations in gap. Equation 2 is the most commonly used equation for surface microstrip transmission line impedance calculations. The Differential Pair Impedance Calculator is a specialized tool used in electrical engineering and signal integrity analysis to determine the characteristic impedance of a differential pair of transmission lines. Radio Frequency Engineering Calculator. It incorporates many features that PCB designers and engineers are in regular need. W is calculated to achieve a trace impedance (Z0) of ~50W and S is calculated to achieve a differential trace impedance of 90W. Then. RF tracks must have an impedance of 50 ohms. The tool implements numerical solutions of Maxwell’s equations to render accurate and consistent results. For context, as I understand it, the Ethernet pairs between the PHY and magnetics need to be impedance controlled to 100ohm and they need to be routed (ideally) in parallel, and the trace space and trace width are important variables in the impedance control. 2. The standard 4-layer stackup uses two inner layers for power and ground, and the two outer layers are for components and trace. A differential stripline pair refers to two traces located between two reference plane layers, which are routed as a differential pair. Reference layer. While this calculator will provide a baseline, any final design considerations should be made towards loss, dispersion. Note: valid for (w/h) from 0. some trace calculation examples. This calculator allows you to add the impedance model and compute the desired trace geometry and spacing for a target impedance. 6mils. so i have had a look at a App-Note of the PHY chip: it contains a lot of good information - and for me its clear i have to do a differential pair for the TX+/TX- and RX+/RX- traces. 1. To use this tool, enter the values for trace thickness, substrate height, trace width, trace spacing and subtrate dielectric in the calculator above and press the "calculate" button. Calculating the Differential impedance is a two-step process, first Calculate the single ended impedance Zo and then use this value to calculate the differential. This assumes ~0 trace thickness. The differential impedance of a PCB is simply the current to voltage ratio on pairs of transmission lines driven in differential mode. Best Regards, David LambeUnderstanding Coplanar Waveguide with Ground. Vias (plated holes) are used to route electrical signals among different layers of a multilayer. Using an online calculator [4], a microstrip trace of 1oz, 120mil-wide copper on 0. EEWeb offers a free online twisted pair impedance (transmission line) calculator. The vias for these high-speed traces will be backdrilled to be a total length of 23 mil, keeping the via stubs no longer than roughly 1/20th of a wavelength. The required values are trace thickness, substrate heights, trace width, and subtrate dielectric in the calculator above and press the "calculate" button. Commonly, you calculate. While commonly constructed using printed circuit boards, this structure can also be built using other materials as long as there is a conductor separated from. What we have on these differential traces is a taper section, which RF engineers often use to match impedances. beammy. Single-ended signals are fairly straightforward. g. As these proximity effects are proportional to the field strength of neighbouring traces they can be substantially reduced by increasing trace-to-trace spacing. You must estimate the differential trace insertion loss in dB/inch for the trace loss budget based on the selected PCB materials and stackup. Differential traces: two traces that are driven together with equal and opposite polarity; Non-coplanar:. The IPC-2141 trace Impedance calculator will help make initial design easier by allowing the user to input basic parameters and get a calculated impedance according to the IPC-2141 standard. The characteristic impedance (Z o) of coplanar waveguide with ground or microstrip lines with signal side ground plane can be. . 29 mm width traces to obtain 100 Ohms ZDiff while using 0. TheseIt always defaults to 10mil. Consider the following USB differential pair: Trace with 70. Both LM and CM converge to zero as spacing goes to infinity. Select a configuration: Microstrip Trace. 6mm spacing with a trace width of 0. Maintain symmetry in differential pair routing. Since the op is using 1/2 oz copper this should be taken into account. Impedance examples 4 layers 1. But these people miss the point. 3mm, as shown below: This increases the impedance slightly to 91. The Saturn PCB Toolkit is the best freeware resource for PCB related calculations you can find. The differential impedance between the positive and negative trace of the transmission line is slightly less than twice the impedance of the single ended impedance. We get a lot of questions about trace impedance and how to calculate the right trace size to hit a specific impedance in a manufacturable PCB. 96D/H) Zo. Differential Stripline Impedance Calculator. The Layer Stack Manager's impedance calculator uses the Wideband Debye model, with a default frequency. If you need to use differential pairs, you simply define traces in each layer as differential pairs and the impedance calculator will determine the correct spacing between traces. 3. The closer you place the pairs together, the differential impedance gets smaller because LM and CM get larger. While every trace has an impedance, we don't care about the trace reactance if the trace is only carrying DC current. e. Field solvers. Enter the differential impedance you want, the trace width, the dielectric height, the dielectric constant, and the trace thickness, and click the. The edge couple differential microstrip transmission line is a common technique for routing differential traces. ALGEBRAIC EQUATIONS Single Track For the stripline of Figure 2 with a symmetrically centredIf your design has controlled impedance traces, you can use our built-in impedance calculator. Example. One thing is for sure: When you are routing a high-speed PCB design you are going to be working with impedance-controlled routing and. These people can illustrate their points very convincingly with parts specs and sig-nal timing diagrams. When routing the board, make sure to make that trace width unique. d = Trace Separation. 3 shall be used. Now also calculates DC resistance with temperature compensation. The required inputs are the Dk value for the dielectric constant of the PCB substrate, and the. Controlled impedance traces can minimize signal reflections and thereby reduce propagation delay. The first step is to do a full two-port calibration on the network analyzer. Note: valid for (w/h) from 0. Assuming the differential pair I am routing is requiring 90 ohm (this is what the hardware guideline say "Route the USB differential pair on the top layer with a trace width and differential spacing tuned to the PCB stack-up. The Differential microstrip impedance calculator is used to compute the differential (Zd) and single-ended impedance (Zo) of an edge-coupled microstrip line just by entering the width, separation and thickness of the. The total length of the signal path is about 1,330mils. Zachariah Peterson | Created: November 22, 2021 | Updated: June 25, 2023 Table of Contents Differential Impedance Defined Formulas for Differential Impedance Should You Use Characteristic or. This, by definition, gives a target of an odd mode impedance of 45 Ohms and an even mode of 60 Ohms. The closer you place the pairs together, the differential impedance gets smaller because LM and CM get larger. 1. Press the Analyze button to calculate the electrical parameters. 30967mm) is slightly larger the size of the smallest pad (0. While commonly constructed using printed circuit boards, this structure can also be built using other materials as long as there is a conductor separated from. • Choose a suitable board stack-up that supports 75 Ωsingle-ended trace and 100 Ωcoupled differential characteristic impedance trace routing. D = Separation between the differential traces. When a single trace is considered in isolation, its impedance will have a well-defined value. IPC 2141 Trace Impedance Calculator. Need to consider this if the data rate is 5 Gbps and above. Before we can start routing the PCB, we need to define Design Rules for our differential traces. I wanted to use Altium to calculate the width of the trace automatically, so that it had a 50 Ohm impedance. 1. This calculator is designed to calculate the characteristic impedance of a microstrip - a flat conductor suspended over a ground plane with a dielectric between them (see diagram below). 1. Although JLCPCB can produce boards with 2 oz external copper, the calculator only supports 1 oz because (1) the wider tolerance of 2 oz traces hinders impedance control, and (2) most signal traces only carries small currents. For an embedded (internal) microstrip, the formulas provided in paragraph 4. Single Ended Impedance Ω. We get a lot of questions about trace. The trace width for 50 Ohms (as I remember) is 0. 2mm from the ground plane below. To find what a given trace width will have a single ended or differential impedance, we can use a built in calculator from Allegro. 4. Trace Height (H) Figure 4. Enter the relative permitivity, width of the trace, the ground plane spacing, and the substrate thickness to calculate the characteristic impedance. ZO *. The trace width required to deliver a specific. Unit: Options are mm, mil, μm,. PCB Trace Width Calculator. Create a differential trace with KiCad - Schematic. The surface finish is neglected. • Avoid running long traces in parallel with grain of the fiber. The Si8000m adds enhanced modelling to predict the finished impedance of multiple dielectric PCB builds and also takes into account the local variations in dielectric constant on close spaced differential structures. The default units for all given values, except the subtrate dielectric, is in millimetres. , USB. Notes: 1) Calculation assumes traces are centered vertically. 159 OS X 10_15_7 EasyEDA. There are four different types of impedance used in characterizing differential trace impedances. When a trace is carrying a DC current, then the resistance will determine how much power could be lost along that current path. when i use Saturn PCB design to match the differential impedance to 100ohms i get 0. When calibrated,Differential Pair Routing. 4 mil, εr. Differential Trace Microstrip Impedance Calculator; Differential Trace Stripline Impedance Calculator; The standard geometries that are supported by these trace impedance calculators. In fab notes, give the expected impedance (100ohm differential), the acceptable tolerance (often +/-10% or 20%), and which traces are. Conversely, tightly coupled differential pairs have an air gap that is less than the trace width. Re: Calculating Differential Impedance for USB Differential Pair. In the special situation for which there is no coupling to ground, Differential impedance equals the Characteristic. Disc Air Capacitor Calculator; Impedance Calculator : XL, XC; Inductors, Transformers. Email: info@multi-circuit-boards. The tool implements numerical solutions of Maxwell’s equations to render accurate and consistent results. Ensuring impedance-controlled routing also requires knowledge of the substrate’s dielectric constant and your required trace width. The track widths should. The more closely differential traces are routed together, the more equal any coupled noise will be on each trace, and the better will be the rejection of the noise in the circuit. Note 2: This and other formula based impedance calculators may easily be way off if you have thin dialectric and skinny traces (which is what we often want in order to squeeze a lot of traces into a given area). Differential impedance is a two-step process, first Calculate the single ended impedance Zo and then use this value. In high-speed digital protocols, data is sent over single-ended traces in a PCB that is impedance controlled; each individual trace is designed to have a specific impedance. Just as important as determining an appropriate trace width for a single-ended trace is. PCB Trace Impedance Calculator. Our free impedance calculator for coplanar waveguide can help you with your design features to ensure your PCB is working as you intend. I did some calculations and it turned out that I have to make the trace that feeds input signal into the. e. Printed Circuit Board Width Tool . Select a trace impedance profile over the length of the taper. The factors that influence differential pair via impedance will affect the input impedance seen at the vias. PCB Impedance and Capacitance Calculator: Microstrip Trace Impedance . Bus line impedance (Z Bus) Differential Mode line impedance (Z Differential) Common Mode line impedance (Z Common) The Single Line impedance is based on the inductance L and capacitance C per unit length of the trace and can be calculated by the following formula: Below there a few examples where the single line impedance is of interest: Coplanar Waveguide Calculator. Microstrip is a single trace on the top layer, with no ground close to it on the same layer. 100 ohm differential pairs that are tightly coupled have a typical single ended impedance of around 65 ohms. Characteristic. The source for formulas used in this calculator (except where otherwise noted) is the Design Guide for Electronic Packaging Utilizing High-Speed Techniques (4th Working Draft, IPC-2251, February 2001. By controlling the PCB impedance, unexpected damages or errors can be limited to some extent. Note that Zdiff (differential impedance) is equal to 2 * Zodd, so a Zodd of 45 Ω gives us a Zdiff of 90 Ω. I created coplanar waveguide on the same layer as the differential pair to serve as a coupling for the diff pair. Differential impedance: This is the impedance of a pair of transmission lines. Let’s start new project together!The edge couple differential symmetric stripline transmission line is a common technique for routing differential traces. Ohm’s Law provides the framework for solving network analysis problems; when the curtain gets pulled back, Ohm’s Law updates to become the relationship between voltage, current, and impedance, not resistance. Wavelength calculator Calculates the wavelength of a signal using Ereff. Differential Stripline Impedance Calculator. For high impedance, make the outer dieletric as thick as possible. Just as important as determining an appropriate trace width for a. We get a lot of questions about trace impedance and how to calculate the right trace size to hit a specific impedance in a manufacturable PCB. The Si8000m assumes negligible insertion loss in the transmission line; should you wish to model insertion loss the Si9000e adds. The amplitude increases as the coupling length increases up to a point. Stripline. when two coupled tracks are used to give a differential impedance. e. KB: Prevent multiple license seats being used on one installation instance. If the characteristic impedance of the two single-ended lines is Z0, then Zd and Zc can easily be derived. Controlled differential impedance starts with characteristic impedance. The termination resistor [R] is still selected to match the trace impedance [Z o], while the capacitor is selected by: X c = [3 * T r] / Z o. Use several of them and compare. Before we can start routing the PCB, we need to define Design Rules for our differential traces. Following is the formula for differential impedance for a Stripline. 36) Co Equation: IPC-D-317A (Eq. 1 of the Microstrip Calculator using H2 in place of h, εr,eff can be computed as specified in Eq. If you do something else with the. Just a clean step. It is admittedly small, but it is non-zero. Incidentally, the trace thickness parameter does have a significant effect. We get a lot of questions about trace impedance and how to calculate the right trace size to hit a specific impedance in a manufacturable PCB. The test sample consists of a pair of differential traces at the top layer, followed by a differential via to the inner traces, then a second differential via connects to the BGA landing pads at the top layer again. . 6mm) That should give the traces around 90 Ohms differential impedance according to the PDF, but when I try to input it to my impedance calculator (Saturn PCB toolkit V7. Dual Stripline Trace. This calculator is designed to calculate the characteristic impedance of a microstrip - a flat conductor suspended over a ground plane with a dielectric between them (see diagram below). ’. 1 mm trace spacing chosen in your design. At some point the amplitude will stay constant. Learn how to configure, define, and use your design’s impedance requirements for single-sided and differential on each layer, with Altium Designer’s Layer St. Figure 3 shows the respective p and T models used to calculate the differential impedance (Z diff). Single-Ended Impedance. As the driving frequency increases, mutual inductance between circuits in your board will cause the impedance of your power delivery network to increase. The microstrip is a very simple yet useful way to create a transmission line with a PCB. The calculator is set up to handle an asymmetric arrangement, where traces are not centrally located in the PCB layer stack. • Keep single-ended signals away from differential traces – distances should be at least at least 2x the trace width. 6) ; TanD = 0. The two most common impedances. altium. Build a model from experimental data of impedance vs. This note describes some. Note: The results are only for approximation and rough estimation, the final values and the. Tuning for your traces to the desired impedance value occurs by adjusting trace width and distance from the reference plane. This calculator determines the impedance of a symmetric differential stripline pair. How to calculate differential impedance: Notes. If your design has controlled impedance traces, you can use our built-in impedance calculator. 35mm gives 50Ω, far easier to use. To meet those requirements I used some online impedance calculators to estimate the required trace properties for a. Tightly coupled pairs (within a pair) are quite common and this has the advantage of having a somewhat higher single ended impedance on a per track basis within a differential pair which is often easier to implement. 50 - 55 ohms). Make sure to follow below for efficient RS485. One of the features of this type of microstrip is the coupling between lines. Select the box with the geometry that you would like to calculate. To the extent that the differential impedance is less than 100 Ohms, it is due to mutual coupling. To add the impedance models, click on ⊕ under the impedance calculator section and provide the following. Going Forward with a Trace Impedance Calculator. ) and the LOW level is defined as zero. The coaxial cable, along with the balanced two-wire, is the most common type of transmission line used in RF communications. • Differential impedance is the impedance the difference signal sees • With no coupling, current into one line depends on capacitance per length of. 0 differential insertion loss test to 43. Fabricators give trace impedance tables as guides to designers that need to implement controlled impedance in their PCBs. Rule 2 consequence. Insertion Loss. Instructions. Controlled differential impedance starts with characteristic impedance. The impedance calculator in the Allegro stack-up editor uses a static 2D field solver by default (bem2d). The calculator is available in the Electrical Domain in Constraint Manager, from theTrack and gap widths are of concern in controlled impedance, but unless your speaker and mic connections (I assume audio frequencies) are going a long way you should not have any particular requirement for controlled impedance. 5. This is more than the to times trace width which is recommended (also read as close as possibly). I found that a W of 0. 5mil (7628 prepreg) when tracks are inside. Use the following guidelines. 1 Answer. Also, calculate the trace spacing needed if differential pair routing guidelines are needed. The differential impedance is always smaller than twice the single. Embedded Microstrip. It seems I could largely do without any impedance matching considerations, given what the trace lengths are. Vias (plated holes) are used to route electrical signals among different layers of a multilayer. Open the PCB layout tool (pcbnew) and go to File > Board Setup. Click on Setup -> Constraints > Electrical Constraints Set - > Differential Pair Value - > Calculator >. I've used ADI's Diff Amp Calculator since I started this circuit (quite a long time ago) and it helped a lot. Different board materials, the dielectric layer thicknesses and constant (Dk), and the thickness of the metal traces all need to be part of the calculations. I checked out TNT, but couldn't seem to be able to do the same with that either. Edge-coupled Asymmetric Stripline. If the negative trace in a differential signal is a higher voltage than the positive trace, then you have a high logic state, and if it’s the other way around, then you have a low logic state. Inform the manufacturer about the number of layers, the value of. If you put that into the calculator, you will get much more practical values for the trace width. 2 Loss of CPW lines; 3. The KiCadPCB calculator is apparently assuming a rectangular trace profile which isn’t quite realistic, particularly with minimal trace clearance values. KB: Fail to install possibly due to lack of admin privilege or virus protection software. Stripline Trace. This makes the problem of determining impedance much more complex, and building an initial lossless model requires a larger set of formulas from Wadell. 100 Ohm diferential impedance microstrip PCB traces geometries in. When you use a line calculator with a proper 'diff pair' mode, it will take account of the geometry and the correct driving conditions, and provide you with a pair of lines that has 100 ohms differential impedance, and two lines of 50 ohms impedance when the other line is driven with an inverted signal. width|space|width. The voltage doubles, whereas the current remains the same, resulting in Zd. how to reach 120Ohm impedance on a 4 layer board? (I use JLCPCB standard 4 layer stack-up, and with their calculator I don't reach 120Ohm for single ended and for differential I only get close with 3. Just to give designers a starting point, take a look at these differential impedance calculators you can use to get an initial estimate of the differential. The differential impedance will be a bit less than 2x the single-ended impedance. This transmission line calculator. Sorted by: 1. eu. Stack Symmetry – enable to add layers in matching pairs, centered around the mid-dielectric layer. Probe with the oscilloscope where the function generator feeds into the PCB. You can use the differential impedance Calculator to find the differential impedance. Z0 = (60 / √εr) * ln ( (8h) / (w + s)) Where εr is the dielectric constant of the substrate material, h is the substrate height, w is the trace width, and s is the spacing between traces. 5mil trace + 4mil spacing - which is close to their absolute minimum). Performing PCB trace length matching vs frequency correctly requires considering the entire bandwidth of a propagating signal on a trace. Surface microstrip lines are formed by etching one surface of a double-sided material. But make sure you get the spacing between the diff pairs and their thickness (copper weight) correct. 36 mm substrate, has an impedance to ground, unbalanced, of about 49 ohms. SET2SEIL. I found that a W of 0. The calculator below uses Wadell’s. To update trace width, select the traces of interest and use the "Route > Retrace Selected" command. Matching the differential trace length and keeping the distances properly, this calculator is used to calculate the characteristic impedance of an edge coupled microstrip. As the trace gets thicker solder mask has less affect. Calculates the current a conductor needs to raise its temperature over ambient per IPC-2152. When enabled. Whether you’re an electronics enthusiast or a professional, this tool will. Click on Setup -> Constraints > Electrical Constraints Set - > Differential Pair Value - > Calculator > If you put 10 in the Line Width, the calculator calculates the single ended as well as differential impedance. Changing the stack-up will affect the calculated trace width for impedance-controlled traces; however it will not automatically update existing traces. Physical geometries of differential traces To calculate the trace geometries in Figure 5 for a 100 Ω differential impedance TMDS signal pair, the closed-form equations 1 – 6 can. This calculator finds both odd and even transmission line impedance, including four different types of impedance used in characterizing differential trace impedances, for microwave antennas, couplers and filters applications.