vswr to return loss calculator. This is an online calculator that calculated Returned Loss based on VSWR. vswr to return loss calculator

 
This is an online calculator that calculated Returned Loss based on VSWRvswr to return loss calculator  A low VSWR will minimize reflections from the antenna

9, for system 2 is 0. 2. Since the signal velocity through the network is a known constant, like the sound velocity in our analogy above, the time it takes for the reflections or echoes to return can be converted to distance. VSWR to Return Loss Formula VSWR = (1 + 10-RL/20)/ (1 - 10-RL/20) Example Calculation A Return. Convert Forward and Reflected Power to Reflected Power percentage : P%REF = PREF / PFWD x 100. Return Loss is the amount of power that is lost in the signal returned/reflected by a discontinuity in a transmission line. 50 from 6 votes. Step. Just enter the value and click calculate. Directivity and VSWR Measurements. The graphical reforms between return-loss, VSWR, reflection index, and mismatch loss. It measures how much energy is reflected back to the transmitter when a signal is transmitted through an antenna. Given a return loss (variable = RL ) in dB, the VSWR is calculated as follows: The magnitude of the reflection coefficient is defined as Rho , where Rho = ( 10 ^ (RL/-20)): e. Note : It is quite possible, that other calculators deliver slightly different results. Calculates the VSWR, reflection coefficient, return loss & matching loss in a. Insertion loss is the amount of energy that a signal loses as it travels along a cable link. The calculator is a spreadsheet that accepts VSWR specifications for all the components in your RF Path—tower mounted amplifiers, diplexers, bias tees, etc. USA CHINA MALAYSIA INDIA ISRAEL UNITED KINGDOM. A power sensor with a return loss of –23 dB is connected to a calibration source with a return loss of –20 dB. As a result, you have a range of either plus or minus uncertainty. Value dB. In general, a lower VSWR means a system and load is well matched with most of the power being radiated by the antenna and a relatively small amount reflected back. VSWR Calculation. cdn-anritsu. 64/100) = ±0. This is an online conversion tool for converting between VSWR, return loss and reflection coefficient, which are different ways to express how well a load is matched to a source. . e. return loss Calculator (by using VSWR) Skin. VSWR measures the ratio of voltage peaks and valleys. When someone says that the antenna is poorly matched, very often it means that the VSWR value exceeds 2 for a frequency of interest. Reflection Calculator: RL = dB: VSWR = Γ = VSWR = RL = dB: Γ = Zo . Effective Radiated Power and Coax Loss Calculator. Just enter the value of source return loss, input return loss, output return loss, load return loss, device gain, and isolation then the calculator will compute the minimum and maximum gain. This is an online computers that calculates VSWR based on Return Loss. In the ideal case where the source, transmission line and load all have an impedance of 50 Ω the VSWR will be 1:1 (perfectly. 1. A high VSWR such as 10:1 usually indicates you have a problem, such as a near open or near short circuit. VSWR to Return Loss . To do so, calculate the desired return loss and subtract the known load return. When an ideal match is not encountered by the incident (forward) wave, part of it is coupled to the load and part is reflected back to the source. 1) RL dB = 10 log P i P r. Return Loss or a VSWR: return loss (dB) (evaluated as neg. A network analyzer can be used to make S parameter measurements. A series of RF calculators for radio frequency engineers. 5 (-14. It turns out that -13. The calculated value is MUCH worse. 4. This can be built into a FLEXI-BOX and a transmission line (50 Ohm track) PCB is available which easily adapts for this circuit with one simple trimming. The table shows the effects of combining two components in terms of their maximum VSWR and return loss. Just by entering the. VSWR is defined as the ratio of the maximum to minimum voltage on a loss-less transmission line (expressed as 3. 1, for system 2 is 0. 5:1 is considered ideal in the RF field, and. 8. Convert S11 to return loss; Compute Voltage Standing Wave Ratio (VSWR) from Return Loss; References [1]. For five t-line sections each having a VSWR of 1. Free Online. I hope this adds to the knowledge of the. vary with frequency). It including shows one percentage from forward to reflected power. Calculations Pathloss / RSSI; Missmatch Loss; IP3 / SFDR Calculator; IP3, IP2, 1dB Comp. Return Loss to VSWR. LM = Matching loss in decibels Example . It's to be noted that this VSWR calculator can also be used in the reverse direction in order to find VSWR if the. S11 then would be the reflected power radio 1 is trying to deliver to antenna 1. Yoni Calculator Online Test System Configurator ezSample. As an added bonus, the. 57. The ideal condition, whereFigure 2: VSWR Measurement Principle The return loss at the input and output ports can be calculated from the respective reflection coefficients as follows: Input return loss (RL IN) is a scalar measure of how close the actual input impedance of the network is to theAn unfeasible VSWR of 50 reflects 92. This is an online calculator that calculates Return Loss based on Reflection Coefficient. 7. A calculator designed to compute the VSWR, reflection coefficient, return loss and matching loss in a transmission line2. Enter a value for VSWR (remember: VSWR should be a number larger than 1. VRMSF and VRMSR are measured and the return loss is back calculated. 2. Reflection Coef. Use these voltage values and D in the following equation to get the reflection coefficient: Solve this equation for Γ to get the reflection coefficient and VSWR. 0 dB return loss). VSWR (input) : Return Loss in dB (output): Return loss calculation EXAMPLE : VSWR = 1. Antenna efficiency doesn't cover reflected power due. VSWR & Return Loss Calculator: Enter forward and reflected power or match to determine equivalent values. Calculates will find VSWR, Return Loss, Mismatch Loss, and the Reflection Coefficient given any one of the listed input types. The method generally makes sense in that the return loss, or VSWR, performance of each element in a transmission system additively degrades the system return loss. There is also a selection of suitable connectors. This is an online desktop this calcutes VSWR based on Return Net. ABOUT US. 778. This is equal to a return loss of 14 dB or greater. VSWR is a measure of the reflected power on a transmission line. Therefore, the return loss parameter RL can only be used to express the mismatch of R L to Z 0. 72 0. Convert VSWR to Return Loss and vice versa. Convert VSWR to Return Loss and vice versa. See the relationship between VSWR and return loss. This calculator computes the VSWR, reflection coefficient, return loss and matching loss in a transmission line. These calculators and. The reflection coefficient is calculated from the VSWR and used to compute the mismatch loss in dB as shown below. The VSWR is a measure of the matching of the antenna to the source and feeder cables. 0 dBFor our measurements we replace the antenna with a 50 ohm termination (vswr 1. 1 Return Loss. Mismatch loss. However, each field, when changed will allow. com Enter VSWR, Reflection Coefficient, or Return Loss to calculate remaining values. Reflection Coefficient. 72 0. 02 VSWR (i. Both decimal point and comma are ok. Now VSWR is 1. Return Loss Vs. Load serial resistance and reactance ohm. Return loss = 10 log (Pr / Pi) = 20 log (Er / Ei) For example, if a load has a return loss of -10 dB, then 1/10 of the incident power is reflected. applied return loss and RF power, measured at 1 GHz. Note that it blows up at the lower cutoff frequency of 6. Reflection Coef. A VSWR value of 2 or under is typically acceptable for antennae in communications systems. 557 GHz. The issue here is that when one of the traces on the NanoVNA is displaying LOGMAG (or the Base 10 logarithm of the Magnitude of the signal) it is showing you the Return Loss. This is known as mismatch loss. RL = 20 * log10 ( (VSWR + 1) / (VSWR - 1)) RL = 20 ∗ log10( (V S W R + 1)/(V S W R − 1)) Variables: RL is the Return Loss (dB) VSWR is the Voltage Standing Wave Ratio. VSWR to Return Loss. Power to Voltage. These measurements show the user the match of the system and if it conforms to system engineering specifications. 2 dB due to reflection. e. everything RF has and largest selection of get home for the RF and Stove Industry. A Forward and Reflected Power to VSWR Calculator is a tool that helps to determine the Voltage Standing Wave Ratio (VSWR) of a transmission line by using measurements of the forward and reflected power. With the initial values in place, you need only click on Calculate. CF 210 Cable Loss; CF 300 Cable Loss; CF 500 Cable Loss; VSWR Calculator; Waveguide Gasket Selection; Photos. Γ = Reflection coefficient. VSWR to Return loss calculator. 1 Return Loss. Lower VSWR is always desirable for a system. In an RF system, when power is sent from the source to load, there are three main parameters to be considered: (1) incident power. 458:1 in VSWR equals 14. The easiest way to improve return loss is to add an attenuator. Note, that in this conversion to return loss all phase information is lost. This VSWR / Return Loss calculator allows you to compute corresponding VSWR, Return Loss, Reflection coefficient and Mismatch Loss values for the entered input value and input type. reflection coefficient definition. Please Support RF Cafe by purchasing my ridiculously low−priced products, all of which I created. The return loss and VSWR measurements are key measurements for anyone making cable and antenna measurements in the field. Because of this, the effects of mismatch can be minimized by selecting an attenuator with the lowest possible VSWR. Result. In turn, reflection co-efficient is related to Return loss (RL) by the following formula: Once you have computed the Return loss, RL, VSWR can be arrived at by using the following formula: Typical values for Γ, RL, and VSWR are given below: Note: The above values are approximate only. The two VSWRs produce a combined return loss, as follows: The uncertainty in the total measurement stemming from the source and load VSWRs is Uncertainty (+)=20log 10 (1+ γ 1 ·γ 2 ) dB, and Uncertainty (–)=20log 10 (1–γ 1 ·γ 2 ) dB. By converting between VSWR and RL, this calculator aids in assessing signal quality, minimizing signal loss, and ensuring efficient RF system. See full list on allaboutcircuits. Measured return loss vs. So, in your. e. Return Loss is a measure of the amount of energy that is reflected back at a discontinuity in a Radio Frequency Circuit . High return loss means low reflected power, so high return loss is good for a system. VSWR Calculator. 333, a mismatch loss of 0. To calculate the Return Loss, add 1 to the VSWR and divide the result by the VSWR minus 1. 01:1 to 3. As it can be seen from the above equation, VSWR is always a real and positive number with a minimum value of 1. If problems show up during this test, there is a very good. everything RF has an largest selection of wired calculators for the RF and Microwave Industry. VSWR (pronounced "viswar"), or the Voltage Standing Wave Ratio, is the ratio of the maximum standing wave amplitude at one node to the minimum amplitude at another node in a system. Here is the problem. The MAX2016 is a dual logarithmic detector/controller used to monitor the VSWR/return loss of an. (under "Support" and "Technical Application Notes" tabs). Just enter the value additionally mouse calculate. Measure the magnitude of the wave voltages at the coupled and isolated ports. As we know that the reflection coefficient defines the amount of the electromagnetic wave is reflected due to the impedance discontinuity in a transmission path. This application note supplies a free of charge software tool that can e. Measure S11 across the desired frequency range. It is expressed in dB. Enter VSWR, Reflection Coefficient, or Return Loss to calculate remaining values. VSWR =. The voltage standing wave ratio (VSWR) at a port, represented by the lower case 's', is a similar measure of port match to return loss but is a scalar linear quantity, the ratio of the standing wave maximum voltage to the standing wave minimum voltage. It is the major factor contributing to the total signal efficiency of the connector. The following equation is especially useful when using a directional power meter. Then click the "Calculate" button next to the value you just typed to compute the others. Calculate! Where do these calculations come from? Well, start with the formula for VSWR: If we invert this formula, we can calculate the reflection coefficient (, or the return loss. The table below converts between VSWR, return loss, reflection coefficient, mismatch loss, reflected power and through power. In summary, return loss is the loss of signal power due to signal reflection or return by a discontinuity in a fiber-optic link or transmission line. Learn about voltage standing wave ratio (VSWR), return loss, and mismatch loss, which helps characterize the wave reflections in a radio frequency (RF) design. ☯ Return Loss=20log 10 (VSWR+1/VSWR-1) (dB)A calculator designed to compute the VSWR, reflection coefficient, return loss and matching loss in a transmission lineIt is the ratio between transmitted and reflected waves. The VSWR to Return Loss Table is a valuable tool for RF engineers, providing an easy way to calculate Return Loss and VSWR values for a given antenna system. Mismatch Loss (dB) 3. Please Support RF Cafe by purchasing my ridiculously low−priced products, all of which I created. Refl Coeff Power TransCalculate VSWR, Return Loss, Reflection Coefficient, Match Efficiency, and Net Transmission Loss from an RF broadcast transmitters forward and reflected power readings. What is the actual antenna VSWR or return loss?You can calculate return loss when the VSWR is known. VSWR = ∞ is the worst condition. 2 times the minimum voltage along that line, if the line is at least one half wavelength long. To do this, I start at the input port and re-calculate the return loss for each component, factoring in the insertion loss of the previous components in the chain, as they will help improve the component's VSWR further down the chain:. When using VSWR and Reflection Coefficient it is often encessary to use formulas or equations to determien the values. Convert the load VSWR to load return loss per the following equation: RL Improved = 2*Attenuator + RL Load [dB] (where RL=Return Loss) Of course, the method can be reversed to predict the attenuator required to improve a load VSWR by a predetermined amount. How to Calculate VSWR . In practice, the generally accepted frequency band limits for rectangular waveguide are between 125% and 189% of the lower cutoff frequency, in this case 8. Return loss is a meas-ure of how well devices or lines are matched. Next, plug in the calculated return loss value into the formula VSWR = (1 + 10^ (RL/20))/ (1 - 10^ (RL/20)). Reflection Coefficient to Impedance Converter Convert a reflection coefficient in Magnitude Angle format into Impedance and vice versa. In Figure 14, the ADL5920 is being used to measure the return loss of the load, also at 1 GHz. They are related but measure different aspects of signal performance. e. This part looks at the closely related. Loss (dB) Volt. Determine how to calculate the effect of VSWR on Return Loss Understand the applications for the equation of VSWR on return loss in electronics When creating PCB prototypes that conduct alternating current (AC) at radio frequency, designs must compensate for the effects of the current waves on the prototype material. 2 8. Conclusion : In summary, RL and VSWR formulas and calculators are valuable tools that enhance the efficiency. Always expressed as a ratio to unity, a VSWR of 1. 또한 안테나의 경우도 실무상에서 Return loss보다는 VSWR로써 비교할 때 좀더 실질적인 비교가 가능하기도 하다. Particularly, reflected performance and mismatch loss help delineate the need for the antenna (with its matching network) to offer a suitable return loss to the active electrical. Mismatch Loss: Convert VSWR to Return Loss, Reflection Coefficient, and Mismatch Loss with our easy conversion calculator. (5. This test can be performed in the DTF Return Loss or DTF VSWR mode. Path loss calculator Phase Noise to Jitter converter PLL PFD Frequency calculator PLL loop filter calculator Potential divider calculator Propagation time calculator Gamma to Impedance converter Reactance calculator. Radio Frequency Engineering Calculator. Determine how to calculate the effect of VSWR on Return Loss Understand the applications for the equation of VSWR on return loss in electronics When creating PCB prototypes that conduct alternating current (AC) at radio frequency, designs must compensate for the effects of the current waves on the prototype material. This calculator is used to calculate the uncertainty of gain for any active RF device (mostly amplifier) that occurs because of the impedance mismatch. Enter the return loss, VSWR or reflection coefficient using drop-down menu to calculate how much power is reflected from or delivered to the load and mismatch loss. 01. The calculator is a spreadsheet that accepts VSWR specifications for all the components in your RF Path—tower mounted amplifiers, diplexers, bias tees, etc. This calculator is designed to give the efficiency loss of a given antenna, based on the input of VSWR (voltage standing wave ratio) and other subsequent factors. The path loss that might be measured in a system however will not be this. If you don't have Excel you can. Due to mismatches in impedance within the connector, some of the signal is reflected. Return Loss and Mismatch Loss Calculator. VSWR to Return Loss (dB) Converter; Return Loss (dB) to VSWR Converter; Power Conversion : dBm - volts - watts; Phase Noise to Phase Jitter Converter; Phase Jitter to Phase Noise Converter; ppm to Hz Converter; misc. How to improve the Return Loss of an amplifier. A match is good if the return loss is high. Once the VSWR is known, return loss can be calculated as follows: Return Loss = 20 ∙ log10 () Generally, a higher return loss value is preferable. VSWR to Return Loss (dB) Calculator. A network analyzer can be used to make S parameter measurements. 0. Following calculator can be used to convert VSWR to corresponding return loss (RL). Reflection. This calculator converts between return loss (RL), voltage standing wave ration (VSWR), and reflection coefficient (Γ). This is an online numeric that calculates VSWR based on Return Loss. The return loss at the input and output ports can be calculated from the reflection coefficient, S11 or S22, as follows: RLIN = 20log10|S11| dB (Eq. The VSWR is an important measure of the quality of a radio antenna system. 00Watts Enter 1. They will show SWR and Return Loss (RL). 1-800-761-3041 Contact Account Cart Search Waveform. VSWR/Return Loss Calculator will find VSWR, Return Loss, Mismatch Loss, and the Reflection Coefficient given any one of the listed input types. VSWR is a function of the characteristic impedance of the transmission line and the impedance of the antenna. There is an equivalent definition for VSWR, which can also be expressed in terms of the Return Loss (RL). 8 is 80%, or -0. Now, assume a "more perfect" termination of 51 ohms was used. 05:1 it calculates a VSWR of 1. VSWR is defined as the maximum voltage of the standing wave (E max) to the minimum voltage of the standing wave (E min ). Input Return Loss Var2. In addition, the calculation takes into account the effect of signal attenuation in the transmission line. Return loss and VSWR are two important measures of efficient power transmission and both of them can be interconverted to obtain the value. When you look at a graph of a return loss formula, the negative sign is often omitted and is sometimes used interchangeably with the S11 parameter. dBm to Milli Watts Calculator. How to improve the Return Loss of an amplifier. Return Loss vs VSWR Calculator: The calculator calculates VSWR from return loss and return loss from VSWR. Some are based on look-up tables, some completely hide their algorithms. Lower VSWR means lower reflection power (good impedance matching); thus, power transfers to load will be high. In this situation (refer to the equations above), Γ = 1 and VSWR = 2/0 = ∞. Elite RF. A Forward and Reflected Power to VSWR Calculator is a tool that helps to determine the Voltage Standing Wave Ratio (VSWR) of a transmission line by using measurements of the forward and reflected power. 2 to 12. Suppose the wave is not matched with load and signal there is some unwanted signals are interrupted or signal loss is occurred. The definition of return loss is: For a linear, passive interconnect, the power returned, or reflected, will ALWAYS be smaller than the power incident. Part 1 of this article looked at the basics of impedance matching and power transfer. If we measure the power of a reflected signal from an antenna near a radio transmitter, the measurement of the reflected signal’s amplitude at this juncture compared to the initially transmitted. Pasternack's RF calculators and conversions section provides engineers valuable and easy-to-use tools ranging from complex mathematical formulas to simple conversions. Formally, S11 is the negative of return loss and. 6dB. Return Loss is a measure of the amount of energy that is reflected back at a discontinuity in a Radio Frequency Circuit . reflection coefficient Calculator. Input Value: Calculate Reset Definition of VSWR "Understanding VSWR isn't just about crunching numbers; it's about shaping the future of efficient wireless communication. Cable insertion loss is known to be 3 dB. 0 5. When we refer to return loss and transmission loss on Microwaves101, we use these equations: Return loss = -20 x log [mag ()] Transmission loss = -20 x log [mag ()] This effectively means that for passive devices, return loss expressed in dB is a positive number, because the reflection coefficient is less than unity. VSWR. Return Loss is similar to VSWR and is generally preferred in the cable industry to a VSWR. SFDR Visualizer This VSWR calculator will calculate return loss, mismatch loss, loss in percentage and the reflection coefficient. 5. Click here to use the VSWR Calculator. VSWR (voltage standing wave ratio, sometimes pronounced "viswar"), is the ratio of the maximum standing wave amplitude at one node to the minimum. Return loss is always expressed in dB, which is a logarithmic scale. 333, a mismatch loss of 0. Here's a plot of the loss of WR-90 X-band waveguide. In this Inside Wireless episode we will look at Voltage Standing Wave Ratio (VSWR), |S11|, and Return Loss. 4 ms—500 forward and 500 reverse samples are collected on each cycle. 780-444-6767A calculator designed to compute the VSWR, reflection coefficient, return loss and matching loss in a transmission line T-Pad Attenuator Calculator This calculator helps you determine the values of the resistors R1 and R2 to be used for a T-pad attenuator. VSWR and impedance, Part 2: Reflected power. The calculator on this page helps determine the loss and that can be factored into the design or RF link budget. It is specified in decibels (dB) relative to a short circuit (100 percent rejection). When a transmitted wave hits a boundary such as the one between the lossless transmission line and load (Figure 1), some energy will be transmitted to the. It may be used to calculate and plot the return loss, standing wave ratio from Smith charts, Real power Vs Frequency, VSWR, E-field and H-field distribution, gain as well as radiation patterns. 1, for system 2 is 0. everything RF has aforementioned largest selection of online calculators for of RF and Microwave Industry. 891: 6. . VSWR and Return Loss RF Calculator VSWR (Voltage Standing Wave Ratio) is a measurement of how well matched a radio transmitter and transmission line is to a load such as an antenna. But for a practical transmission system with load, there will be a small impedance mismatch that will lead to a small amount of incident power reflected back to the source. VSWR table of return loss vs. This online reflection coefficient to return loss calculator calculates the return loss (dB) by entering the reflection efficient Γ (= value. 79. A power meter may also be used to calculate cable loss. RF Trap With Attenuators Computes attenuation, return loss, reflection coefficient and VSWR . 1 and VSWR = 5, which yields the required value p = (1 – 5q)/5 = 0. With the initial values in place, you need only click on Calculate. Use the S11 value in the calculator above to find the equivalent VSWR. 6dB. As we know that the reflection coefficient defines the amount of the electromagnetic wave is reflected due to the impedance discontinuity in a transmission path. This calculator is designed to give the efficiency loss of a given antenna, based on the input of VSWR (voltage standing wave ratio) and other subsequent factors. Click here to use the VSWR Calculator . The formula for insertion loss in decibels (dB) is: Insertion Loss (dB) = 10 * log10 (Pin / Pout) Where: Pin is the input power or signal level. 0:1 indicates perfection (there is no standing wave). 43 20. As part of Qorvo’s commitment to the engineering community, we are providing this collection of RF design tools to assist engineers. 54 dB (11% of your transmitter power is reflected back). Just enter one value and snap calculate. 98dB = 96. This test determines the return loss value of each connector pair, cable component and cable to identify the problem location. Return loss is when the transmitted signal is not completely. 009. Enter the Noise Figure and gain for each stage. If our directional coupler had perfect isolation, the return loss of the load would equal the difference between the reflected and forward measurements:. This is equivalent to VSWR 5. The directivity would be limited to the corresponding return loss, 14 dB. 3) RLOUT = 20log10|S22| dB (Eq. frequency graph of the above assembly is shown in figure 5. As an added bonus, the results are modifiable and can calculate the other values. 8. offices email call. Return Loss (dB) = 10 x Log ( Pr / Pf ) Match Efficiency (%) = 100% x (1 - Pr / Pf)A calculator designed to compute the VSWR, reflection coefficient, return loss and matching loss in a transmission lineA calculator designed to compute the VSWR,return loss and matching loss in a transmission line. The power reflected back from an antenna is specified using either the voltage standing wave ratio (VSWR) or the reflection coefficient (also referred to as return loss). VSWR is referring to the maximum and minimum voltage values that is being transmitted and reflected by the component. number) VSWR or % Reflected Power: MHz: a wavelength in inches or feet: Get Help. Return Loss or a VSWR: return loss (dB) (evaluated as neg. The lowest value of the return loss and VSWR are found as -57. The following formula is used to calculate the Return Loss (RL) from Voltage Standing Wave Ratio (VSWR). Reflection. The result is an antenna VSWR or return loss measurement corrected for cable loss. Return To Calculators. Return loss is a measure of how well devices or lines are matched. Note: The calculations for Total P1dB and NF use linear values. The VSWR value range from 1. The voltage standing wave ratio (VSWR) is defined. 000Match Efficiency (%) Calculates Match Efficiency. This is an online calculator is calculates VSWR based on Return Loss. Here are some examples of the logarithmic scale, or loss in decibels: Return Loss & VSWR Table. Consumers; Contact Us;This VSWR calculator will calculate return loss, mismatch loss, loss in percentage and the reflection coefficient. Measuring Insertion Loss using RETURN LOSS MODE. reflection coefficient definition. 02 (51/50) which produces a return loss of 39 dB, an improvement of 13 dB over the 55-ohm termination. Take a look at the Return Loss chart below for one of our dual band Wi-Fi antennas which performs really well around the 2. This makes it a more direct measure of reflections than VSWR. 0 is the minimum. 002 respectively as shown in table-6 for the notch width, g=1. It is often expressed in terms of a percentage, or in dB. However, each field, when changed will allow. Bernard Sklar, Communications Engineer and author.