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Query: side
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Amateur radio courses teach that in amplitude modulation, sidebands arise. This can be proven mathematically, and nowadays with an SDR one can easily see them.
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WB8LZR details the construction and initial field results of a multi-band vertical wire antenna, designed to complement his existing horizontal loop for improved DX on 80 meters. The antenna utilizes a 67-foot vertical wire, configured as a quarter-wave radiator on 80m, and employs a 1:1 current balun for RF isolation on 80m, 30m, and 17m. For bands like 40m, 20m, and 10m, where the wire acts as a half-wave or full-wave radiator, an additional impedance transforming _unun_ is integrated to manage the significantly higher feedpoint impedance and voltage. The author notes the vertical's performance as a receiving antenna, observing reduced noise compared to his main horizontal loop, particularly on 80m, and even hearing some long-path signals the loop missed. Initial QRP contacts, including a **1-watt** QSO with a _VP2 station_ on 30m, demonstrate its transmit capability. While the radial system is currently rudimentary, the project outlines practical considerations for multi-band vertical deployment and impedance matching.
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Since 1988, Royal Communications International has been supplying communications equipment designed for the military, professional, and amateur market. We specialize in the sale and service of High Frequency, Single Sideband transceivers that are dependable and easy to use.
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A simple 2-tone-generator for testing the linearity of SSB transmitters. This device is as simple as useful. With 2 transistors and an oscilloscope, it is fairly easy to test the linearity of your SSB transmitter. The 2-tone-method is a standardized test method that can be used to determine the maximum output and the amplification characteristics of a sideband transmitter.
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The CW typewriter is a compact adapter board that transforms Morse code into ASCII characters using an Iambic key. It connects to a computer via USB, emulating the keyboard. The device features inputs for Iambic keying and a WPM speed potentiometer, and outputs for a key and a speaker for side tone. The device can be used with various software and online typing games for practice, offering a unique and interactive way to learn and use Morse code.
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A guest review of the FLEX-6400M DSP HF Trasnceiver considering just the receiver part of this radio.
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This document provides a detailed guide on constructing and mounting a folded dipol for the 146 MHz frequency in a vertical configuration to be used in Yagi antennas. The step-by-step instructions and diagrams included make it easy for hams to build and set up this type of antenna. Understanding and implementing this design can enhance the performance of radio communication for Amateurs operating in the 2-meter band. Whether you are looking to improve your signal strength or experiment with antenna designs, this resource offers valuable insights and practical information.
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A simple DIY project for a remote cw key connected to your Flex Rig (actually it can be any other rig). On the remote side it uses and Arduino Uno board and a cheap HanRun Enc28J60 ethernet shield. On the local side it uses a key (better a keyer) connected to a serial port of your pc
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This article explores the conventional wisdom about antenna height in amateur radio operations, challenging the common belief that "higher is always better." Through practical examples and computer modeling, it examines how low-height antennas like Beverage antennas, VP2E, and End-Fed Half Wave (EFHW) configurations can perform effectively in various scenarios. The analysis includes radiation patterns and efficiency considerations for antennas at different heights, particularly focusing on portable operations. The article demonstrates that while height affects antenna performance, lower installations can still provide practical and efficient solutions for specific applications, especially in portable and QRP operations.
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This PDF article introduces a series of dual-tuned bandpass filters designed for input tuning in amateur band receivers. Developed by Stefen Niewiadomski, these filters feature 50-ohm input/output impedance and can be cascaded for improved roll-off outside the passband. The designs use readily available TOKO coils, with taps on the tuned winding for matching input circuits with impedances around 1k ohm. The inductors are core-tuned, with average inductance values provided for easier matching to other inductors.
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The 222 MHz Transverter project, based on Zack Lau's (W1VT) original July 1993 QEX magazine design, provides an IF of 28 MHz for both transmit and receive paths. Rick Bandla (VE3CVG) contributed supplemental notes and construction details, including modifications to achieve 10 mW output power from an initial 4 mW PEP. The design incorporates three distinct boards: a Local Oscillator (LO), a Transmitter (Tx), and a Receiver (Rx), with an estimated parts cost of just over $150 CDN, significantly less than commercial kits. Construction involves both through-hole and surface-mount components, with specific guidance on mounting MAV and MAR devices, grounding techniques, and component selection. The project details include parts lists, schematics for the LO, Tx, and Rx, and board layouts. Troubleshooting advice emphasizes sequential testing, starting with the LO, then Tx, and finally Rx, using a 194 MHz and 222.100 MHz capable FM handheld for signal tracing. Further enhancements are discussed, such as an optional Tx driver stage to boost output to 100 mW and the potential modification of a Motorola Maxor 80 PA for 222 MHz SSB/CW operation. The resource also covers practical aspects like power attenuation pads for IF radios (e.g., FT817) and considerations for enclosure design, including repurposing a Maxor 80 case. Performance reports indicate successful 70 km contacts with only 4 mW output.
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AZIWORLD is a user-friendly tool for generating azimuthal maps of the Earth centered on any location. Compatible with Windows XP and later, it supports English and French. Maps can be saved in .bmp format for easy customization. AZIWORLD computes azimuths, distances, and geographical positions, integrating seamlessly with AZIPOINT for automatic antenna pointing. Linux/Ubuntu/Android users can run AZIWORLD via WINE or CROSSOVER. For optimal functionality, installing AZIPOINT alongside AZIWORLD is recommended.
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Radio transmission is affected by the presence of the earth. Also, the upper atmosphere of the earth is a rarefied, ionized, conducting region that influences transmission considerably. Undertanding Wave Diffraction, Wave Refraction and Absorption
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SWR Magazine is free montlhy ham radio online magazine published in English and Spanish. SWR Magazine presents a mix of analysis, hands-on experience, and technical insight for ham radio operators. Covering global radio trends, technical topics like antenna takeoff angle, operating practices outside the shack, reviews of radios, propagation. Explore innovative antennas, digital modes like RTTY, and historical radio origins. This issue bridges the past, present, and future of amateur radio, inviting readers to not just read, but experience and experiment with the content.
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Setting up a portable wire delta loop antenna with an MFJ 33ft telescopic fiberglass pole
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Learn how to build wire Yagi antennas for your ham radio setup. Discover how smaller wire elements can offer practical and portable options for temporary operations. Explore designs like the Hex Beam, Spider Beam, and Moxon that require less mechanical complexity and can be easily rotated or supported. Find out how to construct and hang wire Yagis from ropes, trees, or masts with inverted vees or horizontal elements. Get tips on element positioning, gain, and beamwidth considerations. Follow simple construction steps using a rope boom and marking element positions for efficient assembly. Enhance your ham radio experience with versatile wire Yagi antennas.
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Experimenting and testing vertical antenna for HF bands on mobile operations.
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The FT-991 is a nice small size and lightweight radio, it is perfect for portable operations. It can be carried along with a laptop computer as hand luggage in airplane. The weak point of this radio, is it does not have a separate RX antenna capability. Therefore i decided to add this feature. On the back side of the radio a BNC connector is added to connect the RX antenna and a switch is fitted to select between RX antenna or main antenna.
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This PDF document provides detailed information on the design, construction, and tuning of trapped vertical antennas with radials for ham radio operators. It covers the theory behind trapped antennas, practical considerations for installation, and tips for optimizing performance. Whether you are a beginner looking to build your first HF antenna or an experienced operator seeking to improve your station setup, this guide offers valuable insights and instructions. By understanding the principles outlined in this document, hams can enhance their operating experience and make the most of their radio communication capabilities.
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The author shares a unique experiment with a 200ft Grasswire antenna—laying wire directly on the ground. Despite inherent losses, the setup enables successful radio communication with a Kentucky station, highlighting the antenna's practicality for portable use with minimal power.
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To use the RF Exposure Calculator, fill-in the form with your operating power, antenna gain, and the operating frequency. Depending on how far above ground the RF source is located, you might want to consider ground reflections too.
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The *SPACE* Amateur Radio over Internet Protocol (RoIP) system offers public audio transmissions from NASA Mission Control and astronauts, primarily for educational purposes. This service streams NASA public media sources, including *Artemis II* and the ISS public audio channel 2 feed, which predominantly features English communications. Astronaut activities on the ISS typically occur between 0700 UTC and 19:00 UTC, with transmissions most common during early mornings USA time, alongside special events such as launches or spacewalks. Users can connect to the live stream via EchoLink to the *SPACE* conference, via IRLP to the 0100 experimental reflector, or via Allstar to node 516221. EchoLink connections utilize the GSM CODEC, while IRLP and other connections default to uncompressed or u-law CODEC. The service notes that long periods of silence are common, and NASA audio sources can be periodically unavailable or noisy. Daily recordings of these transmissions are published at space.rfnet.link/recordings/, available as .ogg audio files for direct playback or .m3u8 playlist files for network streaming in applications like VLC. Each playlist file provides a list of timestamped audio transmissions, allowing users to review specific segments of interest.
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This blog post by VE3VN discusses the design and performance of a 40-meter reversible Moxon antenna. The antenna provides coverage between southeast to west by default, with the ability to reverse for coverage from east to northwest. The post explains how the antenna performs well in various directions, focusing on the Caribbean, South/Central America, the US, and Europe. Detailed measurements and design considerations are shared, highlighting the accuracy of the model and the critical importance of coil inductance. The post also mentions the use of NEC5 for accurate modeling. Overall, this detailed discussion provides valuable insights for ham radio operators looking to optimize their antenna setup.
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SH6 is a versatile, browser-based utility designed for the detailed analysis and visualization of amateur radio contest logs. Supporting standard formats such as Cabrillo and ADIF, the tool allows operators to upload personal files via drag-and-drop or access a searchable public archive containing over one million logs. Key capabilities include comprehensive performance metrics, offering summaries of band breakdowns, QSO rates, and beam headings. Furthermore, SH6 provides advanced geographic visualization through interactive maps, analyzing contacts by country, zone, and continent. A standout feature is the side-by-side comparison mode, enabling users to contrast two distinct logs for strategic assessment. SH6 transforms raw log data into actionable insights regarding operator performance without requiring software installation.
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A Go-box streamlines radio setup for temporary operations. Detailed guidance is provided on constructing a KX3 Go-box based on Radioset-go products. Emphasizing cooling, it incorporates silent fans and a temperature-controlled system. Wiring complexities, power considerations, and battery installation are covered. The Go-box offers a neat solution for field days and temporary setups, improving the efficiency and portability of the Elecraft KX3.
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A half wave wire that is tuned for resonance on 80m will NOT be resonant on 40m despite a precise harmonic relationship between the two bands. The End Effect is caused by a capacitive coupling between an unterminated wire end and the ground.
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The guide details setting up a comprehensive HF packet BBS using linBPQ on a Raspberry Pi. Exploring linBPQ's versatility and community support, the author emphasizes its legality considerations and cross-platform accessibility. Configuration files for linBPQ, including bpq32.cfg, chatconfig.cfg, and linmail.cfg, are explained along with the systemd service setup. The linBPQ Web Management Interface and future setup for QtTermTCP are also discussed for a complete packet BBS experience.
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This article discusses the potential for solar power systems to coexist harmoniously with amateur radio, challenging the notion that they are inherently incompatible. Drawing from personal experience, the author emphasizes the importance of selecting RF-quiet components, focusing on series-string Sunny Boy grid-tie inverters. The article also highlights considerations for system design and limitations based on roof orientation, shading, and array size. Overall, it presents a valuable perspective on creating a radio-friendly solar PV setup.
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This article provides an in-depth review of the Ciro Mazzoni Baby Loop Ham Radio Antenna. The author, a ham radio operator, compares this magnetic loop antenna with his usual End Fed Half Wave antenna, discussing the performance and installation considerations. The post explains the concept of loop antennas, resonating frequencies, and the benefits of using a small loop antenna with a capacitor for optimal operation. If you are looking for information on magnetic loop antennas and their effectiveness in restricted spaces, this review offers valuable insights and practical experiences for ham radio operators.
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A vertical delta loop is a practical antenna for low bands, popular for its simple design requiring just one support. Its shape, an equilateral triangle in free space, yields optimal gain and radiation resistance. Deviating from this shape lowers performance. The delta loop can be polarized either horizontally or vertically based on the feed point location. In vertical polarization, it acts as two quarter-wave verticals with the baseline feeding one side. This design minimizes radiation from the baseline while maintaining effective operation.
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This page discusses the CLEFHW (Coil Loaded End-Fed Half-Wave) antenna, a portable variation of the popular EFHW design for ham radio operators. The article explains how the CLEFHW allows for backpack portable operation without the need for trees or poles, making it ideal for POTA activations and rapid deployment scenarios. The author details the design, optimization for 20m band, and compares efficiency to full-length wire antennas. Suitable for hams interested in portable antenna solutions and quick setup options for amateur radio activities.
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Phased array antennas are composed of multiple individual antenna elements that can have their phase and amplitude controlled to steer the main beam direction in real-time. They are used in radar, communications, and electronic warfare, and offer improved gain and reduced side lobes. A comprehensive document on Phased Arrays include techniques to increase the Antenna Gain and change the Radiation Pattern
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This page delves into the debate surrounding the End-Fed Half-Wave (EFHW) antenna, exploring whether it is truly a multiband antenna without the need for a tuner. The author investigates the claims and criticisms surrounding these popular antennas, discussing their resonance on various bands and their efficiency for DXCC achievements. The content is valuable for hams interested in understanding the capabilities of EFHW antennas and their performance across different HF bands, with a focus on practical usage and real-world results.
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Robust PACKET, developed by Spezielle Communications Systeme GmbH & Co. KG (SCS), is an OFDM variant of the amateur PACKET mode specifically engineered for HF operation. This mode utilizes a 500 Hz bandwidth with 60 Hz carrier spacing, employing OFDM with 8 DBPSK or DQPSK carriers. It supports 200 bps using BPSK and 600 bps with DQPSK, with each subcarrier operating at a constant rate of 50 Bd. Robust PACKET leverages the AX-25 frame protocol for data transmission, similar to standard PACKET. Compared to traditional PACKET, Robust PACKET demonstrates enhanced resilience against multipath propagation and fading effects, critical for reliable HF communications. It also exhibits a more efficient spectral footprint, with sidebands extending only to 500 Hz, whereas 300 Bd FSK PACKET can produce sidebands up to 730 Hz. Operational frequencies for Robust PACKET include 3.61 MHz, 7.0473 MHz, 10.1473 MHz, and 14.1033 MHz, with specific regional frequencies also documented. Decoding software options for Robust PACKET include Wavecom W-Code and Wavecom W-Spectra. The mode is primarily supported by SCS's 'Tracker / DSP TNC' hardware.
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This article explores the marriage of amateur radio and bushcraft, advocating the pleasure of setting up a portable station in nature rather than operating from the confines of a vehicle. The Parks on the Air (POTA) programme is highlighted as a catalyst for outdoor radio activities. The author shares his experiences and techniques, from transporting equipment into the wilderness to setting up shelters and antennas. Knot tying skills and the use of frogs are emphasized for efficiency, and a unique method for launching wire antennas is described. The article emphasizes the synergy between amateur radio and bushcraft skills, enhancing the enjoyment of radio operations in wilderness environments.
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This presentation on antennas is a practical guide for amateur radio operators. The key takeaway is that the best antenna for your station depends on your constraints and goals. There is no magic solution and buying a wire antenna is not recommended as it might be expensive and not as effective. The presentation covers different antenna types including dipoles, verticals, Yagis and loop antennas. Important factors to consider when choosing an antenna include SWR, feeder types, and whether you need a balun. The author emphasizes that ATUs don’t improve a poor antenna and advises against obsessing over SWR readings.
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AutoEZ, Automated use of EZNEC, is an Excel workbook that works alongside EZNEC antenna modeling software version 5.0 or later. With AutoEZ, you can control different aspects of your model using variables and run multiple EZNEC test cases automatically. Formulas in Excel allow you to modify any part of the model. AutoEZ's interface resembles EZNEC's. Enabling macros in Excel might be necessary before using AutoEZ. The program opens various model file formats including EZNEC (.ez), NEC (.nec or .inp), AO and NEC/Wires (.ant), and MMANA-GAL (.maa). You can set the frequency and/or variable values for the test cases to be run through EZNEC. AutoEZ allows you to create animations showcasing how the pattern changes as the model configuration is modified. You can download a fully working, but limited demo copy from this site.
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Learn how to choose the right portable antennas for backpacking as a ham radio operator. Find out the factors to consider, including weight, performance, and reliability. Understand the trade-offs involved in selecting the best antenna for your needs, based on the purpose of your trip and distance to be covered. Discover different options available and how they can help you make contacts while on the go. Get insights into one ham radio operator's portable antenna kit and the factors that influenced their choices. Explore the importance of band selection and adaptability in creating a successful antenna system for backpacking adventures.
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The recognition of telegraphy masked by noise at 40 and 80 signs/min telegraphy speed was studied in 10 normal-hearing subjects at different sound pressure levels (25-85 dB SPL in steps of 5 dB) as well as at different test frequencies (2000, 1000, 800, 630, 500 and 250 Hz). The ability to recognize the signs varied with varying SPL. Recognition for most of the subjects was best at an SPL close to 70 dB. All subjects improved their recognition as the frequency was lowered to 500 Hz, some even at 250 Hz. These facts should be taken into consideration when training telegraphy operators as well as in the construction of radio receivers to permit listening at low frequencies. Furthermore, the critical ratio was calculated at the different test frequencies.
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Practical Wireless is a doing magazine focusing on the practical and constructional side of amateur radio and appeals to all ages. Written by expert authors and contributors, Practical Wireless reflects developments in the technology, participants, activities and licensing framework of the hobby.
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This article describes an HF upconverter for the FunCube Dongle Pro. Designed for radio amateurs, the converter extends reception capabilities to lower frequencies (0 Hz to 30 MHz) by mixing them with a higher oscillator frequency (100 MHz). This translates the desired signal into a range detectable by the FunCube Dongle (64 to 1,700 MHz). Key components include a double-balanced mixer and a low-pass filter to suppress unwanted signals. The project provides schematics, filter specifications, and design considerations for construction.
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The _Icom IC-705_ portable operation power supply guide details the use of a car battery jump starter and a step-up/down converter for field power. It examines various power supply types, including LiFePO4 batteries, lead-acid batteries, and supercapacitors, discussing their respective advantages and disadvantages for QRP and portable setups. The resource emphasizes practical considerations such as capacity, weight, discharge rates, and charging methods crucial for reliable off-grid operation. The article compares the energy density and cycle life of different battery chemistries, noting that LiFePO4 batteries offer significantly more cycles (e.g., **2000-5000 cycles**) compared to lead-acid batteries (e.g., **300-500 cycles**). It also touches upon the integration of solar panels for recharging and the importance of proper voltage regulation to protect sensitive radio equipment, providing insights into maximizing operational time during DXpeditions or POTA activations.
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Analyzes the operational dynamics of the _IARU R1 VHF contest_, the world's largest 2-meter contest, focusing on factors enabling top performers to maintain consistent results amidst declining overall activity. The resource investigates the physical constraints that limit higher point totals, examining how technical capabilities, increased interference, and evolving station setups contribute to contest outcomes. It provides insights into the strategic and technical aspects of achieving high scores, such as the **1,000,000+ point** totals observed from leading stations. Compares the performance of various stations over time, highlighting the sustained success of top contenders and speculating on future trends in VHF contesting. The analysis delves into specific operational strategies and equipment choices that differentiate high-scoring stations, offering a detailed look at the competitive landscape. It also considers the impact of propagation conditions and operator skill on final scores, providing a comprehensive overview of the contest's intricate mechanics and the pursuit of maximum QSO points.
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This article details the design and construction of a compact 20-meter QRP SSB transceiver by Pete Juliano, N6QW, measuring just 2 x 4 x 2 inches—small enough for a shirt pocket. Inspired by a 1963 QST design and refined from a prior version, it employs bilateral circuits, a 4.9152 MHz homebrew crystal filter, switched-crystal VXO for 60 kHz coverage (14.160-14.220 MHz), and standard components like ADE-1L mixers and IRF510 PA for 1W output. Key innovations include a double-sided PCB skeletal frame for shielding and isolation, Vectorboard sub-assemblies, and ultra-miniature relays. The bilateral receiver/transmitter shares stages, omitting AGC for simplicity, while a W3NQN LPF and optional 10W external amp enable DX contacts. Tune-up focuses on crystal matching and bias for linearity. Videos on YouTube demonstrate performance, confirming excellent stability and audio. Total cost nears $100, prioritizing portability over features like CW.
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A 13-foot total radiating element length is achieved by combining a Buddipole Long Telescopic Whip with 4 feet of modified tripod tubes, forming a low-profile, multiband antenna for **POTA** operations. The resource details the transformation of an Amazon Basics Aluminum Light Photography Tripod Stand, focusing on electrically isolating the top two radiating sections from the bottom support. John, VA3KOT, outlines component sourcing, including the 9-foot 4-inch fully extended whip, and emphasizes using adhesive copper tape for reliable electrical contact and conductive grease to prevent oxidation at tube connections. The construction process, while not requiring specialized tools, highlights careful assembly to ensure proper electrical conductivity and mechanical stability. The author's experience with this setup suggests its effectiveness for portable activations, offering a discreet profile compared to larger antenna systems. The design prioritizes ease of deployment and transport, making it a practical solution for operators seeking a compact yet versatile antenna for field use.
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The Pikes Peak Radio Amateur Association (PPRAA) serves as an ARRL Special Service Club, providing a calendar of events and activities for its members and the wider amateur radio community. The resource details upcoming events such as the USS Pueblo Memorial Museum Ships Weekend activations, a Cubical Quad Antenna Workshop, LARCFest, and various hamfests including Dayton Hamvention and Duke City Hamfest. It also lists on-air activities like a FreeDV digital voice mode event on 10 meters, a Black Friday Simplex Event on 2M and 70cm, and a 10m event for Technician class operators, emphasizing SSB privileges from 28.300 to 28.500 MHz. The PPRAA's event schedule includes educational opportunities like a Technician Class and a Soldering Workshop, alongside social gatherings such as the PPRAA Picnic and Car Show. Past event summaries highlight successful activities like the 2024 Megafest Raffle, Winter Field Day, and multiple fox hunts utilizing frequencies like 147.420, 147.480, and 147.540 MHz. The club actively supports POTA activations, exemplified by their AF0S park activation at Cheyenne Mountain State Park, and participates in historical commemorations like the USS Pueblo Memorial operations, demonstrating a broad engagement across various amateur radio facets.
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Single-sideband (SSB) radio enhances spectral efficiency but poses challenges with audio intelligibility, particularly in noisy conditions. A microphone audio compressor addresses these issues by dynamically managing the audio signal’s dynamic range. It amplifies quiet sounds and attenuates loud ones, ensuring consistent audio levels for improved clarity. Benefits include increased intelligibility, higher average power, and reduced spurious emissions. While essential for optimal SSB performance, careful parameter adjustment is crucial to balance natural sound quality and effective communication across various operating modes.
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This article presents a novel Top Loaded End-Fed Half-Wave (TLEFHW) antenna design for 20-meter ham radio operation. The antenna features a compact 14-foot vertical radiator with a capacitance hat configuration, eliminating the need for radials or ground systems. Using EZNEC modeling and field testing, the design achieves a 1.5:1 SWR across the 20m band with a 4.11 dBi gain. Key features include quick deployment, lightweight construction, and directional radiation pattern with 110-degree beamwidth. The design, while requiring a 45-foot footprint due to the top hat, offers an effective portable solution for amateur radio operators seeking a no-ground, no-tuner 20m antenna option.
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This document provides a comprehensive guide on purchasing high-frequency (HF) high-power amplifiers, discussing key considerations such as new versus used models, tube versus solid-state technology, and troubleshooting common issues. It emphasizes the importance of understanding power needs for activities like DX chasing and contesting, alongside practical tips for selecting and maintaining amplifiers to ensure reliability and performance in various conditions.
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Effective suppression of harmonics and parasitic radiation from HF transmitters is crucial, especially with the increasing sensitivity of VHF/UHF radio channels to interference. This project details a hybrid low-pass filter (LPF) designed to operate across the HF bands up to 51 MHz, making it suitable for 6-meter band operations while providing deep VHF/UHF suppression. The design addresses the challenge of modern interference landscapes, where even microvolt-level signals can disrupt wireless sensors and other simple VHF/UHF receivers. The filter utilizes a single elliptic link, combining high cutoff steepness with robust suppression in the hundreds of megahertz range. A key feature is the use of only two standard capacitor values, simplifying construction and component sourcing. The article provides a detailed schematic, performance characteristics, and _RFSim99_ model file, demonstrating a reflection coefficient S11 below 0.017 (VSWR < 1.03) across 1-51 MHz, ensuring minimal degradation to the antenna system. Construction notes include coil winding specifications and capacitor selection guidance, with recommendations for _FR-4_ assembly. Two capacitor sets are presented, with the first variant recommended for its lower RF current demands, keeping currents below 3 A at 1 kW passing power at 51 MHz. Fine-tuning involves adjusting frameless coils, with considerations for capacitor tolerance and high-frequency capacitance measurement accuracy.