All posts by Martin Blustine

I studied physics and went on to work in infrared optics, millimeter wave and microwave engineering until retirement. My interests lie in teaching, music, radio astronomy, infrared systems and microwave and antenna engineering. I enjoy writing technical papers about ham radio topics. When I am not operating CW, I enjoy homebrewing ham gear and restoring vintage HP and Agilent test and measurement equipment.

Temporary 20m EFHW Vertical Installation

I’ve been off the air since moving back to NH in 2020. Since the landscaping has not been completed on the property, it has been impossible to install the radials for a  6-BTV vertical. Radials don’t fare well under the treads of a Bobcat.

A collection of single-band, matched, end-fed half-wave (EFHW) antennas was constructed while I was living in FL. All of these antennas underwent testing on an antenna range consisting of three 10m tall masts spaced 70 ft apart.  These antennas were matched with L-networks. The test results were reported in a separate article[1].

Seeing that July 4th weekend was approaching, I was eager to get on the air for a few days before the landscaper arrived. I decided on a 20m EFHW vertical that makes use of some of the guy ropes that were prepared for FL antenna testing. Figure 1 shows the installation of the 12.5m high telescoping fiberglass mast.  The mast is anchored with a tilt-over base mounting plate described in a separate article[2]. Guying is provided at two levels. The guying radius is 25 ft. Guy anchoring is accomplished with polycarbonate Orange Screws[3]. While these anchors work well in FL sand, they do not work quite as well in rocky New England soil. I managed to snap one of them off in the process of screwing it into the ground.

My favorite knot for adjusting the guy rope tension is the taut-line hitch. I used the taut-line hitch on the FL antenna range for three weeks, and the anchor screws came loose before any of the taut-line hitches did.

20m end-fed half-wave (EFHW) vertical

Figure 1. 20m L-Network Matched EFHW Vertical. The wire antenna and matching network is fastened to the fiberglass mast with rubber bongo ties. The mast height is 12.5m (41 ft). Base anchoring is accomplished with a hinged, tilt-over base mounting plate that was described in another article. Please click on the photo to enlarge it.

The antenna counterpoise consists of a 3 ft (~ 1m) section of outer coax shield, Figure 2. A line choke is inserted after this 3 ft section of coax to terminate the counterpoise. The remainder of coax to the shack is made up of a 40 ft long section of RG-8X.

Figure 2. Matching Network, Coaxial Shield Counterpoise and Line Choke. The matching network was designed for 14.1 MHz. Since the matching network has a wide bandwidth, the antenna wire was cut slightly longer to resonate at the very bottom of the CW band. Please click on the photo to enlarge it.

A Smith Chart is plotted in Figure 3. It shows that the antenna match over the entire band is well within the 2:1 VSWR circle.

Figure 3. Smith Chart for 20m L-Matched EFHW Antenna. A match better than 2:1 match is achieved over the entire 20m band. The antenna wire was cut longer to provide the best match at 14.025 MHz. Please click on the photo to enlarge it.

The VSWR performance is plotted in Figure 4. The matching network consists of a lowpass L-network consisting of a series inductor followed by a shunt coaxial capacitor. The antenna wire has been cut to resonate at 14.025 MHz since I enjoy operating in the bottom 50 kHz of the 20m CW band. It’s not that the VSWR performance was that bad but I just could not understand why the antenna wasn’t achieving a near-perfect 1:1 match. I turns out that the residual mismatch is in the Polyphaser lightning arrestor located in the service entrance panel.

Figure 4. 20m VSWR Plot. The L-matching network exhibits wide bandwidth and good efficiency. The antenna wire is cut to resonate at the very bottom of the CW band where I like to operate. The match is very good but not perfect. This was due to the residual VSWR in the lightning arrestor located in the service entrance panel. Please click on the photo to enlarge it.

I operated a simple station consisting of an ICOM 718 at 100W to make three consecutive CW contacts with French stations. The next three days should produce some interesting DX.

References

[1] Blustine, Martin, Highly Efficient L-Matching Networks for End-Fed Half-Wave Antennas, June 11, 2022. https://www.n1fd.org/2022/06/11/l-matching-networks/

[2] Blustine, Martin, Tilt-Over Bases for Antenna Masts That You Can Build, June 30, 2022. https://www.n1fd.org/2022/06/30/tilt-over-bases/

[3] https://www.orangescrew.com/

RFSim99 for Circuit Simulations

Introduction

Out of curiosity I recently downloaded a copy of RFSim99[1], authored by Stewart Hyde, to see what it could do and how easy it was to use. It runs as a standalone app. This is a very old program and much to the credit of the Gordon Hudson, AD5GG[2], an extracted version seems to run on Windows 11 in compatibility mode for Windows XP.

There were some posts online about how some of the user interface buttons would not appear until hovering the mouse over where the buttons should appear[3]. Another quirk had to do with plots not appearing after the simulation button was pressed. I encountered both of these quirks when I first installed the application, particularly after I had run my first simulation. After unzipping the program for a second or third time, I ran a Sample File from the Open file menu. It ran with no problem whatsoever. Next, I created a circuit model of my own, saved it and ran a simulation. This time everything worked and continues to work, as it should. If all else fails, you could try to alter the compatibility settings that may be found under Properties by right clicking the RFSim99 icon. I changed the settings to a later version of Windows XP. It is a good idea to save all circuit model files in a folder apart from the app in the event the program file folder has to be overwritten.

This application is highly intuitive and can be up and running in minutes. If you wish to rotate or flip a component, all you do is selected it and hit the space bar. The easiest way to correct an error is to select the mistake and hit delete on the keyboard.

Three simulations are the subject of this article; a 40m L-matching network for an EFHW antenna, a 2nd harmonic optimized lowpass filter and a Butterworth bandpass filter. These demonstrate different plotting features that are available in RFSim99; Smith Chart plots and rectangular plots, respectively.

This simulation app is very useful because it can return a full set of S-parameter results. We can derive anything and plot everything from the data set.

Simulation of a 40m L-Matching Network for EFHW Antennas

I decided to begin by running a simulation on a 40m L-matching network. These networks were the subject of an earlier article[4]. The matching network to be simulated is shown in Figure 1. A 50-ohm source drives an L-matching network that employs a lowpass topology. It is lowpass because the inductor is in series, and it will pass DC from input to output. A match from 50-ohms to 2450-ohms is required to match the high end impedance of an End-Fed Half-Wave (EFHW) antenna. Many of you will recognize this impedance transformation as being equivalent to the transformation performed by a 1:49 transformer. The design frequency used for the L-matching network was 7.15 MHz.

Figure 1. A 40m L-Matching Network. The lowpass topology is designed to match a 50-ohm transceiver to the 2450-ohm end impedance of an EFHW antenna at 7.15 MHz. The lowpass topology can be identified by the series inductor that can pass DC from input to output. Please note that there is a shunt capacitive element closest to the load. That means that this network is capable of transforming a higher load impedance down to a lower source impedance.

The results of the simulation are plotted using the Smith Chart option shown in Figure 2 that is available from a pull-down menu after running the simulation. The Smith Chart is simply a rectangular plot of real (resistance) and imaginary (reactance) values that has been cleverly constructed so that the reactance axes at infinity in the complex plane touch at the right hand side of the chart. It is an ingenious way of plotting axes that are infinite on a single sheet of paper. In order to do this the real resistance axis becomes more compressed to the right hand side of the chart, too.

If you are not familiar with Smith Charts, all of the values on the chart have been normalized to unity at the center of the chart. That makes it possible to use the chart to represent different characteristic impedances including 50-ohms. To get the final answer, we just multiply the number or numbers on the chart by the characteristic impedance. There is a cursor-slider on the bottom of each plot in RFSim99 that reads out the cursored values to the left and right sides of the chart. That is why there are no numbers displayed on the Smith Chart, itself.

Figure 2 consists of three plots at three different frequencies, 7.0 MHz, 7.15 MHz and 7.3 MHz, respectively. Since our antenna is too short at 7.0 MHz, the plot at a) exhibits capacitive reactance of ~14-ohms. At b) for the design frequency of 7.15 MHZ the antenna length is resonant and nearly zero reactance is exhibited. At c) for 7.3 MHz the plot exhibits inductive reactance of ~14-ohms because the antenna is too long. Please note that the impedances and admittances displayed to the left of each plot correspond to the position of the cursor. The series and parallel equivalent circuit values are displayed to the right of each plot.

Figure 2.  Smith Chart Plots of L-Network Impedance. The upper half of the Smith Chart plots inductive reactance while the lower half of the chart is capacitive reactance. The horizontal axis plots resistance with 50-ohms at the center of the chart. Please note where the cursor is and where the impedances are displayed  to the left of each plot. At a) for frequencies below the design frequency the antenna is too short, and the trace exhibits capacitive reactance. At b) the design frequency the reactance is nearly zero. At c) for frequencies above the design frequency of 7.15 MHz the antenna is too long, and the trace exhibits inductive reactance.

Simulation of a 2nd Harmonic Optimized Lowpass Filter

Ed Wetherhold, W3NQN, provided the filter prototype values for 2nd Harmonic Optimized Lowpass filters in his paper published in QST[5]. These designs with the addition of a filter for the newer 60m band were used to construct the 10-band lowpass filter bank shown in Figure 3 for use in a homebrew QRP transceiver under construction. Hans Summers at QRP Labs[6] was kind enough to provide bare filter printed circuit boards for the project. The motherboard consists of printed circuit coplanar waveguide designed on EasyEDA[7]. Relay switching provides high isolation and a primitive relay clacking sound.

Figure 3. A 10-Band 2nd Harmonic Optimized Lowpass Filter Bank for QRP Use. A 10-band filter bank was constructed on a coplanar waveguide motherboard. Switching is accomplished with inexpensive Arduino relay boards. A complementing 10-band bandpass filter bank completes the set.

The circuit model for the 2nd harmonic optimized 40m lowpass filter is shown in Figure 4. No changes were made to the component values appearing in the original article. A parallel resonant LC in the center of the schematic resonates at the 2nd harmonic, 14.4 MHz. This serves as a high impedance at the 2nd harmonic.

Figure 4. Circuit Model for 40m Lowpass Filter Simulation. No changes were made to the original component values in this simulation. Please note the LC circuit at the center of the schematic. It is designed to resonate at the second harmonic, 14.4 MHz. This serves as a high impedance at the 2nd harmonic.

The results of the simulation are provided in Figure 5 for filter attenuation and return loss in the passband and 2nd harmonic stopband. A return loss of 29 dB corresponds to a VSWR better than 1.1:1. The attenuation at the 2nd harmonic of the 40m band will far exceed the FCC requirement of 43 dB below the mean power of carrier emission.

Figure 5. Simulation for the 2nd Harmonic Optimized 40m Lowpass Filter. The cursor shows where the measurement values to the left and right hand side of the plots originate; at a) the values at 7.0 MHz, at b) the values at 7.3 MHz, at c) the values at the 2nd harmonic of 7.0 MHz, at d) the values at the 2nd harmonic of 7.3 MHz. S11 is the return loss trace while S21 is the transmission trace. A return loss of 29 dB corresponds to a VSWR better than 1.1:1. The attenuation at the 2nd harmonic of the 40m band will far exceed the FCC requirement of 43 dB below the mean power of carrier emission.

Simulation of a Butterworth Bandpass Filter

A simulation was run on a design provided by Lew Gordon, K4VX (SK), in his QST article[8]. A Butterworth bandpass filter, a.k.a. maximally flat filter, exhibits no ripples in its passband. Consequently, the stopband attenuation is more gradual than it is for other filter prototypes. (The Bessel filter also exhibits no passband ripple.) Figure 6 shows model employed for the 5-pole Butterworth bandpass filter simulation for the 40m band.

Figure 6. Simulation Model for a 40m 5-Pole Butterworth Bandpass Filter. A  5-pole filter is, essentially, two 3-pole filters back-to-back. The 2nf capacitor at the center of the filter is equivalent to 2 x 1nf capacitors in parallel. The 275nH inductor at the center of the filter is equivalent to 2 x 550nH inductors in parallel.

The 5-pole Butterworth bandpass filter was modeled in RFSim99, which resulted in the plots shown in Figure 7. Problems associated with the linear phase response of this filter are often avoided by deliberately making this filter very wide in which case only the center of the filter is used.

Figure 7. A 40m 5-pole Butterworth bandpass filter. At a) the filter return loss and transmission characteristics at 7.0 MHZ, at b) the filter return loss and transmission characteristics at 7.3 MHz, at c) the transmission characteristics and phase response of the filter. The filter is usually used at band center and within the linear phase region of its response. S11 is the return loss trace while S21 is the transmission trace. A return loss of 20 dB is 1.22:1.

Conclusions

The RFSim99 app is easy to use and configure. It runs reasonably well in Windows 11 when the compatibility mode for Windows XP is employed. It should run in earlier operating systems, too. There is no installer package for RFSim99 other than the one for Windows XP but AD5GG has extracted all of the files required to permit this program to run as a standalone app. Some common passive networks were analyzed that explore the capabilities of this software. Although the optimization utilities were not used for these analyses, they should be useful.

References

[1] Stewart Hyde, author, 1999.

[2] AD5GG, https://www.ad5gg.com/2017/04/06/free-rf-simulation-software/

[3] Ibid.

[4] M. Blustine, Highly Efficient L-Matching Networks for End-Fed Half-Wave Antennas, N1FD, June 11, 2022. https://www.n1fd.org/author/k1fql/page/5/

[5] Ed Wetherhold, Second-Harmonic-Optimized Low-Pass Filters, QST, February 1999, pp. 44-46. https://www.arrl.org/files/file/Technology/tis/info/pdf/9902044.pdf

[6] https://qrp-labs.com/

[7] https://easyeda.com/

[8] Lew Gordon, Band-Pass Filters for HF Transceivers, QST, September 1988, pp. 17-19, 23. https://www.arrl.org/files/file/Technology/tis/info/pdf/8809017.pdf

Interpreting S-Meter Readings

Introduction

Most communication receivers and transceivers have S-meters, either analog or digital. We also know that there is a 50-ohm coaxial connector on the back of most receivers. What do S-meter readings mean in terms of the 50-ohm receiver input?

High Frequency (HF) < 30 MHz and Very High Frequency (VHF) > 30 MHz receivers work to different input signal level conventions. In other words, and to confuse matters, an S9 for HF is not the same as S9 for VHF.

Nearly 100 years ago, it was decided that S9 should be 50 uV at the receiver input. However, no input impedance was specified. A signal level of S9 was meaningless until the voltage level was standardized to 50 ohms by the International Amateur Radio Union (IARU) some 50 years later. Different voltage levels at the receiver inputs were adopted at that time for HF and VHF.

While S-meter readings are useful for signal reporting and logging, it is important to remember that S-meter readings are not perfectly linear, and linearity differs from receiver to receiver. It may depend a great deal upon receiver settings.

HF Receivers

Suppose that an HF receiver is displaying a signal of S9. We are told that this signal level is defined as a voltage of 50 uV (50 microvolts) at the 50-ohm receiver input connector. This does not tell us what the signal power is incident on the antenna because we do not know what the antenna gain is, what mismatches there are, and what any other gains or losses might be. We only know that a 50 uV signal is present at the receiver input and that the receiver is displaying S9. If we perform a little calculation, we arrive at the power level at the receiver input connector.

To convert this signal power to milliwatts (mW), we divide by 1E-03 or 0.001 since a mW is 1/1000 of a Watt.

There is another way to do this if we know that there are 1E+03 mW in a Watt. We can use dimensional analysis to arrive at the right answer.

We may now convert this value in mW to dBm.

So, a signal of S9 is equivalent to a signal power level of -73 dBm into a 50-ohm input.

Example 1

Bearing this in mind, what would the power level of a signal be for an S-meter reading of S1 in units of dBm?

The signal level at S1 is 8 S-units lower. If each S-unit adds or subtracts 6 dB by convention, a signal of S1 would be 48 dB lower than S9. Subtracting 48 dB, the signal at S1 would be -121 dBm.

Example 2

Suppose we are told that the signal input to the receiver reads S9+10 dB (10 dB over S9). What would the signal into the receiver be in units of uV?

We know that a signal voltage level of S9 is 50 uV into the 50-ohm receiver input. We already know that the signal power level of S9 is -73 dBm. Thus, if we add 10 dB, the signal power level would be -63 dBm (less negative). All that is left is to convert this power level back to uV.

Let’s convert this -63 dBm input signal level to mW. In order to do this, we must take the antilog of the input signal level.

Next, let’s convert mW to Watts by dividing by 1000

Finally, we convert to Volts using the formula

We can convert Volts to uV by multiplying by 1E+06

Since the impedance level for the 50 uV and the 158.3 uV input signals are both 50 ohms, we can check the result to see if it is 10 dB higher than our S9 signal of 50 uV. We notice that the 50-ohm impedance cancels when we take the ratio of the two power levels in

Example 3

What is the 50 uV signal in dBuV?

Receiver specifications are frequently written this way.

VHF Receivers

VHF uses a different standard for S9, notably –93 dBm (5 uV) into a 50-ohm receiver input. A value of 6 dB still represents 1 S-unit. All of the calculations are similar to those for HF receivers.

Example 4

Prove that 5 uV is equivalent to an input signal level of -93 dBm into a 50-ohm VHF receiver input.

Again, there are several ways to proceed. Let’s begin by converting 5 uV to Volts.

We can convert this to power

Convert to mW by multiplying by 1000

We convert to dBm using

Example 5

Convert the 5 uV signal to dBuV

Conclusions

The reference levels for S9 are defined differently for HF and VHF receivers. In this article, it has been shown how one would convert between voltage and power levels at 50-ohm receiver inputs.

When discussing S-units, some receivers are more linear than others, and linearity may depend upon receiver settings. Nonetheless, S-units are useful for signal reporting and logging because everyone agrees on the same standards.

Title Photo Credit: Photo of Ten-Tec Orion S Meter, author: Martin Ewing. Public Domain, https://commons.wikimedia.org/w/index.php?curid=1575140

 

 

 

 

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