Microstrip differential impedance calculator. A typical 4 Layer Stackup looks as follows. Microstrip differential impedance calculator

 
 A typical 4 Layer Stackup looks as followsMicrostrip differential impedance calculator Pasternack's RF calculators and conversions section provides engineers valuable and easy-to-use tools ranging from complex mathematical formulas to simple conversions

Note that any calculator application (such as the calculators I created in some other blogs) or the Layer Stack Manager in Altium Designer will only return L or L p. Calculator Type. Introduction to dispersion diagrams and eigenmode simulator. 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. Using a 4 GHz reference antenna, the variations of input impedance and radiation patterns are compared, for (a) changing the feed positions to the non-radiating edge against (b) changing the width of a. We will call the high speed traces the Transmission Line. This calculator assumes. 2. 1427·10-9 s/m = 1. 7 and Fig. Enter the relative permitivity, width of the trace, the ground plane spacing, and the substrate thickness to calculate the characteristic impedance. beammy. 3 enable the electrical characteristics to be determined given the material properties and the physical dimensions of a microstrip line. Coupled Coplanar TracksImpedance Calculator Home: Layout > Impedance Calculator E dit: Check Layout > Impedance Calculator N avigation T ree: Technology > Impedance Calculator. 0 2. The formula used in this calculator is an approximation for the characteristic impedance of a coplanar waveguide: scssCopy code. Notice that the Ground and Power are interchangeable. example. 37) If H1<1. Width (w) Trace Thickness (t) Dielectric Thickness (h) Relative. Dual Stripline. What is the approximate actual rise time of the signal. 71. W W = trace width. In some cases, users require a custom impedance value. 100 Ohm diferential impedance microstrip PCB traces geometries. H1. 01 Mar 1998. mils: Distance between planes (B) mils: Relative Dielectric constant (Er) Differential Trace Impedance: ohms: References. Differential signaling in flex circuits follows the design method of surface microstrip transmission lines. 5 was. A typical 4 Layer Stackup looks as follows. While this calculator will provide a baseline, any final design considerations should be made towards loss, dispersion, copper roughness, phase shift, etc. Altium Designer allows you to analyze the signal integrity of your PCB design at the schematic capture stage. 331 1 2 5. For example, microstrip = microstripLineCustom. Microstrip Differential Impedance Calculator; Impedance To Turns Ratio Calculator; Impedance to Voltage Calculator; To calculate the impedance of a stripline, divide 60 by the square root of the relative permittivity of the dielectric material. Create coupled form of single or differential microstrip transmission line (Since R2022b) SIWLine: Create an SIW line in microstrip form (Since R2023b) Functions. 5 Summary; Microstrip is the most popular medium for circuit design at frequencies ranging from several hundred megahertz to tens of gigahertz. h = rfckt. Figure 4 Differential impedance comparison of 50 mil gap. 74mm. Changed the microstrip impedance calculator formula to a complex version for accuracy. 9. The differential signals need to be driven with opposite polarity signals. Development Kits. A simple microstrip is located on the top of the board, while an embedded microstrip is located inside the board substrate as illustrated below. 1. Enter your board parameters and get instant results. 5 ohms. Edge-Coupled Microstrip. Trace Width. Differential Protocol: Select the desired protocol from the dropdown list, this list will autofill the Target ZDiff edit box. Z 0 Differential impedance (Ω): Calculate. Such a microstrip is constructed with two traces referenced to the same reference plane with a dielectric material between them. i know that i can use. Polar or rectangular grids only allow direct reading of S11. Pasternack's RF calculators and conversions section provides engineers valuable and easy-to-use tools ranging from complex mathematical formulas to simple conversions. An embedded microstrip is a microstrip transmission line or flat conductor separated from the ground place via a dielectric material. This means that the formula checking with the HFSS software in Figure 2 varied four out of the fiveDifferential impedance: This is the impedance of a pair of transmission lines. Surface microstrip lines are formed by etching one surface of a double-sided material. I'm designing a custom PCB around the Raspberry Pi RP2040 MCU. On a reference plane, there is an edge coupled differential microstrip line with two traces. SAVE & ACCEPT. Z 0 = Single Ended Impedance. So, the dielectric at my 5-6GHz frequency range is 3. These formulas are fits to the results of detailed EM simulations. (Sorry guys, I live and I have grown up in a metric world ) With these values, Saturn PCB's off-line calculator gives 57 Ohm differential impedance. The odd mode impedance is the impedance of one transmission line when the pair is driven differentially. Tutorial 2: Dispersion Diagram I: Parallel Plate. Example. 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. In this equation there is no dimension to the surface of the PCB. Take note that this assumes that the distance between the conductor and the planes is not the same for both reference planes; hence the asymmetric term. The Pi match circuit is so named because the circuit topology can resemble a pi symbol. One of the features of this type of microstrip is the coupling between lines. Routing Differential Microstrip Traces with Controlled Impedance Differential microstrip routing in high speed PCB design requires careful impedance calculations. If there is an insulator around the wire then this calculator will be an estimate. To calculate the differential impedance we should find the differential capacitance and the differential inductance Dielectric (ε=4. Asymmetric Stripline. then the differential impedance will be less sensitive to over-etching or under-etching during pcb fabrication. 77 mm gave me a differential impedance very close to 90 Ω. The stripline impedance calculator provided below is useful for gaining an initial estimate of trace impedance for striplines. Transform Delta to Y: Add Series/ Parallel Resistor: None R in Series with R1 R in Series with R2 R in Series with R3 R in Parallel with Ra R in Parallel with Rb R in Parallel Rc. The PCB trace width and the spacing to the grounded copper regions need to be designed to set the designed impedance to the. Once you know the characteristic impedance, the differential impedance. Since stripline traces are typicallyStripline vs. 5. When you need to length-match meandered traces, a. Read more about designing to a differential impedance specification; Read more about the six important transmission. How to analyze the Sievenpiper high-impedance structure supporting a backward wave. For a case of dielectric constant of 4. For example, if you wish to input "25000000", just type "25M" instead. Another consequence is the following: If you densely route several single-ended lines, I suggest you throw the values into a differential line calculator. H 1 H 1 = subtrate height 1. Following is the formula for differential impedance for a Microstrip. Differential Impedance of Microstrip. Track Thickness: mm. mm mils. Odd mode impedance is defined as impedance of a single transmission line when the two lines in a pair are driven. A web-based tool to calculate the impedance of your PCB traces and vias. Share. The edge couple differential microstrip transmission line is a common technique for routing differential traces. Incidentally, the trace thickness parameter does have a significant effect. Sample coupon — Gerber Data mpcd1345. g. Since stripline traces are typically3. The Smith Chart graphically maps S11=reflection coefficient= (ZL-Z0)/ (ZL+Z0) to Load Impedance (ZL), normalized to Z0 (source impedance = center of chart). Microstrip traces are a practical and straightforward method for establishing transmission lines on a PCB. At the receiver, the signal is recovered by taking the difference between the signal levels on. Notes: 1) Calculation assumes traces are centered vertically. 1 of the Microstrip Calculator using H2 in place of h, εr,eff can be computed as specified in Eq. Calculation tip for defined Z 0 as well as Z Diff. Each transmission line has a Capacitance per unit length, inductance per unit length and resistance per unit length. Radar Calculators Effective Antenna Aperture Calculator. Compared to waveguides, microstrip is generally has a lower power handling capacity, and higher losses due to the fact that it is not enclosed. Modeling approximation can be used to understand the impedance of the edge couple differential stripline transmission line. In fact, striplines often make components such as band-pass filter's more accurately, with more symmetric roll-off and no lower cutoff frequency. It makes sense to use Z0=100Ohm for your 100 Ohm line, because that is easiest to interpret in the chart. If JLCPCB's 4-layer PCB is. Thus any equation used to calculate the impedance is approximate and demonstrated in Table 1. differential impedance : NOTE: numbers are in scientific notation (e. The PCB Impedance Calculator in Altium Designer. Simons, "Coplanar Waveguide Circuits, Components, and Systems", Wiley. To use this tool, enter the values for. This helps ensure that your microstrip trace impedance and stripline trace impedance will match to the desired value within a predefined tolerance interval. The Calculator assumes that 1. differential trace impedance for USB (90 Ohms) on 2-layer FR4 board. This calculator can. 66, the trace height is 1. Delta Impedance, Rb (Ohms) =. 035mm and Er = 4. One of the features of this type of microstrip is the coupling between lines. The Impedance Calculator is a tool which allows a quick pre-layout estimation of several kinds of line impedances between different layers. Transmission Line Mitred Bend Calculator. Choose your desired transmission line structure (single ended or differential covered microstrip, inner layer stripline, offset stripline); use. Microstrip Impedance Calculate the impedance, capacitance, propagation delay, and inductance of a. The iCD Design Integrity software incorporates the iCD Stackup Planner, iCD PDN Planner, iCD CPW Planner and SmartSolver software plus a myriad of functionality specifically. 035 mm) h is the Thickness of dielectric. The idea here is to determine the spacing required for a given width with the goal of hitting a specific differential impedance value. The required inputs are the Dk value for the dielectric constant of the PCB substrate, and the. You want to select “Microstrip Zdiff”. If the PCB design software provides these features we must avail of the opportunity. 8. Here, Z11 is the characteristic impedance looking into port 1 for one of the transmission lines. The cross section of the coupled microstrip waveguide is illustrated in the image above. Grounded Differential Coplanar Wave Guide. Such a stripline is constructed with two traces referenced to the same reference planes above and below the traces with a dielectric material between them. 66 There are many calculators available online, as well as built into your PCB design software. A microstrip is a type of transmission line in which a strip of a conducting material like copper is mounted on a dielectric material and routed to a. Impedance. This transmission line calculator. I found that a W of 0. g. 1 (a). Register here. The stripline impedance calculator provided below is useful for gaining an initial estimate of trace impedance for striplines. 3 shall be used. Target Impedance (Z0) Trace Thickness (t) mils. “The Surface Microstrip Impedance Equation”. Even mode impedance for commonly-driven transmission lines . Differential Stripline Impedance Calculator. Just enter the given values for trace thickness, substrate heights, trace width, and substrate dielectric. Separation between Planes. 6 ohms and Z even = 110 ohms for your geometry, very close to your result. zodiff: Calculate the characteristic impedance of differential microstrip lines. 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. Figure 1 illustrates the affect of soldermask coating on microstrip impedance. Modeling approximation can be used to design the microstrip trace. You could use thinner traces with these differential microstrips, but you would need to use a smaller spacing. RF/Microwave Design; Digital Design; Layout Services. Uncoated microstrip single-ended impedance calculator. To calculate the differential impedance we should find the differential capacitance and the differential inductance Dielectric (ε=4. e. Power. Equation 2. If JLCPCB's 4-layer PCB is. It can also produce a comma-delimited file for modeling and programming purposes, such as for use in circuit model development. Figure 1. This tool helps you create a matching circuit so that optimal power transfer occurs between unmatched loads. 5 × W, W + 2 × S ≤ 5 × H, dielectric constant >3 for higher accuracy. An example of the parameterized differential stripline. Even Impedance The impedance measured when testing only one of the. Impedance Calculators. This Mantaro calculator tells me that I need a trace width of 11. PCB Coplanar Waveguide Calculator RF PCBs can be complex boards that need careful. 3 enable the electrical characteristics to be determined given the material properties and the physical dimensions of a microstrip line. The differential impedance depends upon the D/H ratio. 8. 5 Ohms higher than the formula method. 8 substrates of various thicknesses. It shows the minimum trace-to-ground spacing required to. Differential Pair Impedance Calculator. Relative Dielectric Constant ( εr ): Track Width (S): mm. This calculator will help you calculate the guided wavelength, provided the dimensions of the microstrip are given as well as the velocity of propagation, the microstrip material's dielectric constant, and the input. With t = 35 um (typical for copper with plating on a pcb), Z odd drops to 44 ohms, according to LineCalc. JLCPCB Impedance Calculator. PCB Trace Impedance Calculator. Since PIe edge connector’s character impedance is 85Ω, the traces between the connector and I should be 85Ω -- the rest is usually set to 100Ω. Routing Differential Microstrip Traces with Controlled Impedance Differential microstrip routing in high speed PCB design requires careful impedance calculations. While this calculator will provide a baseline, any final design considerations should be made towards loss, dispersion, copper roughness, phase shift, etc. This calculator determines the differential microstrip impedance of a transmission line. 7. Embedded Microstrip. 08. 8. Edge-Coupled Coated Microstrip: is a differential configuration with two controlled impedance traces on the surface coated with solder mask, and a plane on the other side of the dielectric. Creating and Configuring an Impedance Profile. The calculator is set up to handle an asymmetric arrangement, where traces are not centrally located in the PCB layer stack. For example, coupledMicrostripLine (Length. One of the features of this type of microstrip is the coupling between lines. They will give very similar answers. Edge-coupled Asymmetric Stripline. When driven differentially the impedance is ~100 ohms; and when driven signal-ended (SE), the impedance is ~ 56 ohms. Figure 1. H 1 (Dielectric thickness) : mm mils. and thats the first time iam doing ethernet things. This tool helps you create a matching circuit so that optimal power transfer occurs between unmatched loads. Following is the formula for differential impedance for a Stripline. This calculator can calculate the impedance and propagation delay of any microstrip by taking its respective height, width, thickness & dielectric constant. Hello Community, iam currently designing a board that contains an 100MBit Ethernet connection. Microstrip Width Calculator. Note that Zdiff (differential impedance) is equal to 2 * Zodd, so a Zodd of 45 Ω gives us a Zdiff of 90 Ω. Provide values for the four parameters H 1, H, T, W, and the relative permittivity of the dielectric. All About Circuits is the largest online electrical engineering communities in the world with over 700K engineers, who collaborate every day to innovate, design, and create. Figure 81 shows the topology. Embedded Microstrip Trace. It works in parallel with the standard PCBS. Edge coupled microstrip impedances (Z 0,odd, Z 0,even, Z 0,diff and Z. 48 e -0. 1 er 15 Note that 1. Stripline Impedance Calculator Embedded Microstrip Impedance Calculator Microstrip Impedance Calculator Dielectric Thickness (mils) C Dual Stripline Impedance Calculator Asymetric Stripline Impedance Calculator Zo Equation: IPC-D-317A (Eq. Access technical papers, white papers, calculators, tools and more for circuit laminates, prepreg and bonding materials. INPUT DATA. To avoid microstrip modes, have h >> (w+2g) and extend component side ground away from the trace by > (w+2g). Stripline routing has a big advantage in being sandwiched. Coplanar Waveguide With Ground Characteristic Impedance Calculator. 125 × W ≤ S ≤ 4. 6. The differential impedance depends upon the D/H ratio. This assumes ~0 trace thickness. Figure - Single Ended impedance calculator. 0. This will give a 50X impedance from each trace to ground. The Simbeor impedance calculator calculates the width(s) required to achieve the specified impedance. If you put 10 in the Line Width, the calculator calculates the single ended as well as differential impedance. Click the button corresponding to the characteristic impedance to calculate its value. Source: PC-2141A (2004) “Design Guide for High-Speed Controlled Impedance Circuit Boards” Applications. coupledmicrostrip = coupledMicrostripLine (Name=Value) sets Properties using one or more name-value arguments. 5 GHz. 8. 96D/H) Zo = Single Ended impedance. T T = trace thickness. Tutorial 3: Dispersion Diagram II: Sievenpiper Mushroom. Output ⊕. The embedded microstrip has a similar construction to the microstrip except for the additional dielectric subtrate on top of the conductor. Trace Thickness. 81. If the width of the trace is two times the height of the dielectric (for FR4, Dk from 4 to 4. 5. The impedance Z 0 of a transmission line consisting of a circular signal conductor having a diameter d and centered between parallel ground planes separated by a distance h is given by: Eq. In the case where you are routing differential pairs, then the potential between the two pairs will always be opposing (i. Effective Antenna Aperture Calculator; Maximum Unambiguous Range Calculator; PULSE REPETITION FREQUENCY (PRF) CALCULATOR;Calculate Microstrip impedance for given PCB parameters. Reset. A great example is the surface microstrip which forms on the outer layers of the PCB. 0; 1 < ε r < 15 ) Select the units for all dimensions: mm mils. 3. Controlled differential impedance starts with characteristic impedance. See full list on resources. Employ our online Microstrip PCB Differential Impedance Calculator to precisely determine the differential impedance of microstrip traces on a Printed Circuit Board. Most RF Coaxial Cables have an impedance of 50 ohms or 75 ohms. For example, if you wish to input "25000000", just type "25M" instead. 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 trace along with the dielectric thickness and constant of the coupled line. Differential Impedance Calculator. Increasing t decreases Zo, although it has small effect on Zo. 2 Calculating Impedance The following equations can be used to calculate the differential impedance of the board. Altium Designer incorporates these features into its CAD tools. Single-ended signals are fairly straightforward. A stripline resembles a microstrip line and comprises a center conductor pattern symmetrically embedded completely within a dielectric, the top and bottom layers of which are conducting ground planes. I am reproducing it. W. The twisted pair helps create a more uniform inductance and capacitance per unit length of wire to ensure a constant impedance, by keeping the return path as close to the signal as possible. And when changing reference planes, you should have a via (or decoupling cap for GND <-> VCC) nearby. Single and differential coplanar structures; Multiple adjacent dielectric layers, with different dielectric properties. 71. W2: Width of the top surface of the trace. d = Trace Separation. Calculate Coplanar impedance for given PCB parameters. 8. 9D/B) Zo = Single Ended impedance. Ω/mΩ/in. calculate the impedance and capacitance of PCB traces. Note: All dimensions are in mils. Also, be aware, 90 ohms is the differential impedance, the characteristic or single ended impedance will be more than half (ie. I've tested now several, because the first two did show a huge difference in the calculated impedance for a CPW waveguide on silicon, with exactly the same parameters (dieletric constant, geometry etc). For example, coupledMicrostripLine (Length. 1< W/H < 3. A study was done comparing microstrip and CBCPW transmission lines with different copper types, which had significantly different surface roughness. Let’s start new project together!. But practically (especially in a dense design like your example), they also interact with surrounding conductors, and the coplanar ground, or ground beneath a differential microstrip will affect the characteristic impedance. Loss is calculated as a combination of dielectric loss and conductor loss at the analyzed/synthesized length. , they. Single-Ended Impedance. A differential stripline pair refers to two traces located between two reference plane layers, which are routed as a differential pair. Twisted pairs are used with balanced signals. The grounded differential coplanar wave guide is the differential version of the grounded coplanar wave guide and is used in high-speed digital systems that require maximum noise immunity. 5. By adding the formulas of the dielectric and copper, a similarly simple formula of total attenuation is obtained. View Notes. There are a lot of online trace impedance calculators specifically designed for differential traces. Z 0 now meets your requirements. For better impedance control, use PCB design software you can trust. 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 impedance. This calculator is designed to calculate the characteristic impedance of an edge coupled microstrip. Visit to learn more about our other electrical engineering tools and resources. Differential Trace Microstrip Impedance Calculator; Differential Trace Stripline Impedance Calculator; The standard geometries that are supported by these trace impedance calculators are shown in the graphic below. The phase is mostly + 90 ∘ or − 90 ∘, indicating that Zin is mostly reactive. Z o is the impedance of an individual trace. Calculate odd mode impedance of differential PCB transmission line (Since R2022b) dgs: Create defected ground structure of PCB element (Since R2023a)I read this at si-list and thought that it may be useful for the PCB Designer. If there are changes in the design, change. The Smith Chart graphically maps S11=reflection coefficient= (ZL-Z0)/ (ZL+Z0) to Load Impedance (ZL), normalized to Z0 (source impedance = center of chart). W1: Width of the bottom surface of the trace. , "Characteristic Impedance of the Shielded-Strip Transmission Line," IRE. Impedance is the resistance that a transmission line presents to the flow of energy along the transmission line. Click here to see the user guide of our. As seen from the formula when D decreases, while keeping H constant, Zdiff decrease. First to calculate the characteristic impedance of the Microstrip line, because the top layer and the bottom layer symmetry, only need to calculate the top layer impedance is good, using polar si6000, the corresponding calculation graph is as follows:. For the 70. The Sierra Circuits Impedance Calculator uses the 2D numerical solution of Maxwell’s equations for PCB transmission lines. Click the button corresponding to. , equal in magnitude but opposite in polarity). 36) Co Equation: IPC-D-317A (Eq. 588 mm and relative permittivity of 2. Impedance calculationChoose a calculator to tune your PCB design. W is the Width of track. . 50Ω. The trace impedance (single-ended) in an individual trace is normally calculated by ignoring any neighboring traces, so no coupling to other conductors in the design will be. ) and the LOW level is defined as zero. This is the same reason we have to consider spacing between traces in differential pairs: the two conductors interact with each other to determine the odd-mode (and differential) impedance . Acknowledgements: 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. To avoid microstrip modes, have h >> (w+2g) and extend component side ground away from the trace by > (w+2g). In the Electrical Parameters window, you should see that the resulting value of the characteristic impedanceIn the modules documentation it says that the LVDS differential impedance shall be 100ohm, but no tolerance. INPUT DATA. Build a model from experimental data of impedance vs. Microstrip Traces and Controlled Impedance. 4 mils, w 12. Embedded Microstrip Impedance Calculator. It is only equal to double the characteristic impedance in certain cases. coupledmicrostrip = coupledMicrostripLine creates a default coupled microstrip transmission line with a Teflon substrate and default properties for a resonating frequency of 1. Use several of them and compare. Don’t forget to check out our other. This calculator will convert voltage or power gains into decibels. An example of a wire microstrip might most often be found in prototypes or reworked boards where a wire is used over the top of pcb or copper clad material. It was found that the microstrip showed more benefit than the CBCPW when comparing a smooth copper to a rough copper surface for insertion loss. Formula: Applicability: w ÷ t ≤ 0. Board Setup. This page covers Differential Microstrip Impedance Calculator. Single Ended Impedance (Z0) Ohms. Our RF and microwave calculators and converters will provide the figures you need for your radio frequency engineering needs. 01 Mar 1998. 3. 6: Microstrip Design Formulas. 4: Normalized even-mode and odd-mode effective. 50 - 55 ohms). There are three important performance properties of differential pairs that are influenced by the design space of geometry and material properties: differential impedance, channel to channel cross talk, and attenuation. Introduction to dispersion diagrams and eigenmode simulator. Figure 1. The dielectric constant of free space is taken as 1. 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. 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. g. Zo (diff) is calculated to be 244 ohms, so dividing by two yields a value of 122 ohms for the semi-coplanar structure. Calculates the resistance, inductance and capacitance per unit length of common low-loss transmission line configurations. 1. Z0,air Z 0, a i r = characteristic impedance of air. To avoid microstrip modes, have h >> (w+2g) and extend component side ground away from the trace by > (w+2g). All Conversion Calculators. Hello! I'm trying to calculate the trace width for a differential pair (carrying MIPI CSI-2 signals), using JLC's impedance calculator. H = distance to nearest reference plane. Provide values for the four parameters H 1, H, T, W, and the relative permittivity of the dielectric. The differential impedance will be a bit less than 2x the single-ended impedance. 3. Open the PCB layout tool (pcbnew) and go to File > Board Setup. 2 enable the electrical characteristics to be determined given the material properties and the physical dimensions of a microstrip line. Differential Stripline Impedance Calculator A differential stripline pair refers to two traces located between two reference plane layers, which are routed as a. • As shown in Figure 1, traces should be 100-Ω(±5%) differential impedance of differential microstrip or differential stripline. H eff = H 1 + H 2 2 H e f f = H 1 + H 2 2. Tutorial 1: Microstrip Patch Antenna. Note that the y-axis is on a logarithmic scale for clarity. Radio Frequency Engineering Calculator. MICROSTRIP WIDTH CALCULATOR. Description. On a reference plane, there is an edge coupled differential microstrip line with two traces. This calculator can calculate the impedance and propagation delay of the embedded microstrip.