Leaky Feeder Design

Amplifier Spacing Calculator

Off-air-constrained leaky feeder amplifier spacing for mine quoting and commissioning. Vendor-agnostic 20 / 25 / 30 dB AGC amplifier classes, three-ceiling spacing model (off-air RSSI floor / amp-gain target / Gmax safety), inline-pad sizing, editable per-chain segment layouts on main and branches, and a landscape PDF commissioning test sheet you can print and hand to the field tech.

Overview

Leaky feeder amplifier spacing is the single hardest sizing decision in a radiating cable network. Cable loss accumulates across kilometres, amplifier gain is bounded by intermodulation and noise, and the off-air RSSI at the handset has to clear a planning floor that the vendor doesn't set for you. Vendor handbooks publish a recommended spacing tied to a single cable-loss number at the highest operating frequency — but that vendor spacing is the amp-gain ceiling, not the off-air ceiling. In a realistic mining install (95 % planning coupling, a miner 5 m off the cable, body loss against the handset) the off-air ceiling is tighter, and that is the number that drives the amp count and the quote.

The calculator runs three independent spacing constraints and the tightest binds: an off-air RSSI ceiling (segment length where conducted minus coupling minus distance falloff minus body loss minus connector pair just meets the user-set RSSI floor), an amp-gain target ceiling (segment length where the inline pad runs to zero), and a Gmax safety ceiling (segment length where the amp saturates and can't restore pilot). The hero card names the binding constraint so the designer knows which input to relax to move the answer. In typical mining at UHF 450 MHz on RCF78 the off-air ceiling binds at ~350 m; at VHF 150 MHz it binds at ~550 m.

Every amplifier is modelled as a pilot-tone AGC stage with an explicit input pad: the pad is sized so the gain block sees the user-set target input level (typically −25 to −30 dBm), the gain block applies (pilot − target) to restore the chain to pilot, and reserve consumption is flagged on segments where cable loss exceeds the nominal pad+gain budget. The pad value per segment is the number the field tech actually dials in at install — so it appears in its own column in the trace and in the landscape PDF commissioning test sheet. The chain model has no un-amped tail: every segment ends with an amplifier and the Amps-for-Run hero card sums the count across the main line and every branch, so the procurement number is correct at a glance. Custom segment layouts are editable per chain on main and every branch, so the design team can pin amp locations against real access points, drift junctions, and equipment niches before producing the field record.

Capabilities

Three-ceiling spacing model with binding-constraint indicator

Max amp spacing is the tightest of three independent constraints: off-air RSSI floor, amp-gain target (pilot − target input), or amp Gmax safety. The hero card names the binding constraint explicitly so the designer knows which input to relax to move the answer. All three ceilings subtract the connector-pair loss at each amp boundary before dividing by per-metre cable loss, so the displayed spacing already accounts for the real-world connector budget. In realistic mining the off-air ceiling binds — at UHF 450 MHz on RCF78 with a 5 m listener distance and 3 dB body loss, spacing comes out at ~350 m.

Every-segment-amped chain model — total amp count = segment count

Every segment in the chain ends with an amplifier. No un-amped tail. The Amps for Run hero card sums the amp count across the main line and every branch, so a 15-segment main plus a 4-segment branch is 19 amps in the procurement number. This matches the real install: every amp boundary is a piece of hardware in the BOM, the cable from the last amp to the radio termination still needs the previous amp's output to feed it, and the last amp is what actually delivers signal into the terminator.

Generic 20 / 25 / 30 dB AGC amplifier classes — vendor-agnostic

The amplifier dropdown carries three generic AGC line-amp classes that span the realistic spread of mining and tunnel products: 20 dB (3 dB reserve, low-gain class), 25 dB (4 dB reserve, the most common line-amp class), and 30 dB (5 dB reserve, high-gain variant for long spans on lossy cable or higher frequencies). Each carries 5 dB noise figure, 33 dBm OIP3, 200 / 250 / 300 mA DC current draw, 18–30 V supply window, and a 500 m first-amp head-end allowance. Vendor-specific datasheet variations sit downstream in the full Leaky Feeder Designer canvas — this tool is intentionally vendor-agnostic so it works for any AGC line-amp in any quote.

Pilot-tone AGC amplifier model with explicit input pad

Every amp module is [input pad] → [AGC gain block] → [output]. The pad is sized per segment so the gain block sees the user-set target input level (typical −25 to −30 dBm for mining). The gain block applies (pilot − target) at the design point. When segment loss exceeds the nominal pad+gain budget the pad clamps to zero and the gain block consumes reserve; past Gmax it saturates and a warning fires. The pad value is the number the field tech dials in at install — so it appears in its own column in the trace and in the PDF test sheet.

Honest off-air RSSI budget — 95 % planning, body loss, frequency-corrected coupling

Off-air RSSI at the radio = pilot − segment cable loss − connector pair − coupling loss − distance falloff − body loss. Coupling uses the manufacturer 95 % planning level (what 95 % of points along the cable meet or exceed) by default — typically 8 dB more conservative than the 50 % median lab number. Coupling drops ~2.5 dB per decade with rising frequency, fitted to the RFS RCF78 2024 datasheet across 75 MHz to 2700 MHz to ±0.5 dB. Body loss against the handset is user-settable (default 3 dB; 0 for vehicle-mounted radios). The Coupling Planning toggle exposes both 50 % and 95 % so the same tool serves lab work and field design.

Custom segment layout — main and per-branch

Toggle Custom Layout on the Main Line section to make each segment's End cell editable — Start of the next segment chains automatically, and cable loss, inline pad, off-air RSSI, amp gain, and reserve all recompute live. The + Break button on any chain header (main or branch) inserts another amp position; the × button on any row removes one. Custom layout state is per-chain — main and each branch carry their own boundaries so the design team can pin amp positions against real drift access points, junctions, and niches.

Datasheet-anchored cable library

Every cable is sourced from a 2023–2024 manufacturer datasheet with K₁ / K₂ longitudinal loss coefficients least-squares fitted across the published frequency points to ±0.1 dB / 100 m, and coupling losses at the 50 % / 95 % planning levels. RFS RADIAFLEX RCF12-50JFNA (1/2"), RCF78-50JFNA (7/8"), RCF78-50JFNA-MSHA (mining), RLF114-50JF (1-1/4" PE), RLKW114-50FR (rail-grade NFPA 130 / EN 50575 B2ca). CommScope RADIAX RXL-12-CL, RXL-78-CL, RXL-114-CL. Times LMR-600 / LMR-900 for non-radiating jumpers. No "Generic 1/2 inch" or fabricated cable entries — every K and CL is traceable.

Branching splitter topologies with mine-run coordinates

2-Way / 3-Way / 4-Way equal splitters (3.5 / 5.5 / 7 dB per port) and 10 / 15 / 20 dB directional taps (0.2 to 0.5 dB through-loss). Each branch picks a splitter, a tap position on the main run, and a branch cable length. The main line absorbs the splitter through-loss at the tap segment; the branch runs an independent pilot-tone AGC chain starting at main-signal-at-tap minus tap port loss. Branch segment positions are displayed in Head-End-relative (mine-run) coordinates — a branch tapped at 500 m with a 350 m first segment reads 500 → 850 m, not 0 → 350. The field tech walks a single cable-length-from-HE axis across the whole network.

Landscape PDF commissioning test sheet

Export Test Sheet generates a landscape A4 PDF commissioning record matching the noIM₃ HF Link Report design system (Helvetica, noIM3 blue accent, structured grey hierarchy). Header strip carries project / site / technician / date plus the design parameter set. Every chain (main first, then each branch with its splitter context) renders its segment table with 12 centred columns: Seg # · Start (m) · End (m) · Length (m) · Cable Loss · Inline Pad SET · Expected @ Amp In · Expected Off-Air · Measured @ Amp In · Measured Off-Air · Pass / Fail · Notes. The four measured columns are amber-tinted for field handover — the tech fills them out at install. Auto-paginates on long runs with the table header repeated.

Cascade NF using actual AGC gain, not Gmax

Cascade noise figure is computed per chain using the Friis formula with each amplifier's actual AGC gain block setting (= pilot − target input + reserve consumed), not the vendor Gmax. Feeding Gmax to Friis under-states cascade NF because lower per-stage gain raises the noise contribution of downstream stages. The number on the trace reflects the segment pattern shown, not a best-case floor.

Browser only

Runs entirely in your browser. No site plan, amplifier preset choice, cable selection, run length, branch topology, or commissioning data leaves the device. Useful when the network plan is operationally sensitive, commercially confidential, or covered by an information security regime that prohibits sending raw infrastructure data to third party services.

Standards & methodology

  • Vendor radiating cable specifications (RFS RADIAFLEX RCF / RLF / RLKW series 2024 datasheets, CommScope RADIAX RXL series 2024 catalogue)
  • IEC 61196-4 (radiating-cable coupling-loss measurement)
  • IEC 61196-1-101 (insertion loss)
  • EN 50575 (Cca / B2ca cable fire rating for rail-tunnel deployments)
  • NFPA 130 (passenger rail tunnel fire test)
  • 30 CFR Part 18 (MSHA permissibility for US underground coal mining)
  • Friis cascade noise figure formula (IEEE)
  • ITU-R recommendations for radiating cable coupling loss reference (typical 2 m reference distance)

When to use this tool

  • Sizing the amplifier chain for a new leaky feeder deployment in an underground mine
  • Sizing leaky feeder amplifier spacing for a road or rail tunnel installation
  • Modelling a multi-drift mine where each drift is a splitter branch off the main intake heading
  • Modelling a multi-level installation with vertical taps feeding each level
  • Producing a total amplifier count (main + branches) and inline-pad-setting list for procurement and install
  • Pinning amplifier positions in a custom layout against real access points, drift junctions, and equipment niches
  • Generating a printable commissioning test sheet (landscape PDF) for the field tech to fill out at install
  • Recording the as-built signal levels alongside the predicted values for project handover
  • Comparing alternative radiating cable choices (RFS vs CommScope, 1/2" vs 7/8" vs 1-1/4") before committing
  • Sense-checking a proposed amplifier spacing against the binding off-air RSSI constraint
  • Auditing an inherited leaky feeder network for end-of-run RSSI margin and reserve gain consumption
  • Choosing between 20 / 25 / 30 dB AGC amplifier classes for a given cable and band combination
  • Producing the spacing, inline-pad, and off-air RSSI appendix for engineering reports and tender submissions
  • Tuning the inline-pad setting for an existing chain to land each amp at a target operating point

Is this the right tool for you?

Reach for the Amplifier Spacing Calculator in any of the following situations.

  • You are designing a new leaky feeder network in an underground mine and need to size the amplifier chain across kilometres of RFS RADIAFLEX cable on a 25 dB AGC line-amp class.
  • You are choosing between 25 dB and 30 dB AGC amplifier classes for a tunnel installation and need a like-for-like spacing comparison at the band you will operate in.
  • You are designing a multi-drift mine layout where the main heading runs the Head End plus the main amplifier chain and each drift is a splitter branch with its own amplifiers.
  • You are designing a multi-level installation where each level is a tapped branch off the vertical riser and need an end-of-run off-air RSSI prediction for every level.
  • You are producing a procurement estimate for total amplifier count, total DC current draw, and cable footage on a tunnel response tender — every segment is an amp on the BOM.
  • You are about to commission a new install and need a printed test sheet the field tech can carry into the drift with predicted signal levels and blank columns for the measured values.
  • You are pinning amplifier positions against real drift access points and equipment niches, not the engine's greedy spacing, and need a custom layout that respects every fixed position.
  • You are choosing the inline-pad setting for an existing amplifier chain and need a per-segment pad recommendation to land each amp at a target operating point (−25 to −30 dBm).
  • You are recording the as-built signal levels of a commissioned chain on the printed test sheet for project handover.
  • You are demonstrating pilot-tone AGC behaviour and inline-pad sizing to a non-technical stakeholder and need a visual that makes the per-segment loss recovery obvious.
  • You are training new mine and infrastructure RF engineers on radiating cable amplifier sizing and want an interactive workspace that exposes the three spacing constraints.
  • You are operating under a security regime that prohibits sending raw network plan data to third party services and need a calculator that runs entirely in your browser.
  • You are sense-checking a proposed amplifier spacing against the binding off-air constraint at the actual operating frequency and realistic listener distance.
  • You are evaluating whether a higher-gain (30 dB) amplifier class would let you space amps wider or whether the off-air constraint binds first regardless of amp class.

Frequently asked questions

What are the three spacing ceilings and which one usually binds?

The calculator runs three independent constraints: (1) off-air RSSI ceiling — segment length where conducted minus coupling minus distance falloff minus body loss minus connector pair just meets the user-set RSSI floor; (2) amp-gain target ceiling — segment length where the inline pad runs to zero and the gain block starts consuming reserve; (3) Gmax safety ceiling — segment length where the amp saturates. The tightest binds, named in the hero card. In realistic mining (95 % planning coupling, 5 m listener distance, 3 dB body loss) the off-air ceiling almost always binds. Vendor handbook spacing numbers are the amp-gain ceiling, not the off-air ceiling, and are recovered only when you strip body loss, set listener distance to the 2 m reference, and use the 50 % median coupling.

How many amps will the tool say I need?

Every segment in the chain ends with an amplifier — the model has no un-amped tail. So if the main line has 15 segments and a branch has 4 segments, the procurement number on the Amps for Run hero card is 19 amps total. The split between main and branches is shown alongside the total so you can read both numbers at a glance. This matches the real install: every amp boundary is a piece of hardware in the BOM.

Why generic AGC amplifier classes instead of vendor presets?

The tool is intentionally vendor-agnostic. The three AGC classes (20 / 25 / 30 dB max gain with 3 / 4 / 5 dB reserve, 200 / 250 / 300 mA DC, 5 dB NF, 33 dBm OIP3) cover the realistic spread of mining and tunnel line amps without locking the user to a single product line. Vendor-specific datasheet variations sit downstream in the full Leaky Feeder Designer canvas environment. This calculator focuses on the physics that drive the quote — cable loss, coupling, off-air budget, inline pad — which are nearly identical across vendor implementations of the same AGC gain class.

What is the inline pad and why is it surfaced separately?

Every amplifier module is [input pad] → [AGC gain block] → [output]. The pad attenuates the cable-side signal so the gain block sees the user-set target input level (typical −25 to −30 dBm for mining). The gain block then applies (pilot − target) of gain to restore the chain to pilot at the output. The pad value per segment is the number the field tech actually dials in at install — so it gets its own column in the trace and in the PDF test sheet, with the Cable Loss and Conn Loss columns alongside so the dial-in math is visible.

Why does coupling-loss matter so much, and why default to 95 %?

Manufacturer datasheets publish coupling loss at two planning levels: 50 % (median — half the points along a long cable have ≤ this loss) and 95 % (planning — 95 % of points have ≤ this loss). The 95 % value is typically 6–10 dB worse than the 50 % value (8 dB on RFS RADIAFLEX and CommScope RADIAX at 450 MHz). The 95 % value is what you size for in real mining design because the field experience is the worst-case slot pattern, not the median one. The Coupling Planning toggle exposes both — set it to 50 % to recover the lab numbers, leave it on 95 % for the honest field design.

How does coupling change with frequency?

Coupling loss drops roughly 2.5 dB per decade with rising frequency — smaller wavelength means the slot pattern radiates more efficiently. The calculator applies this correction to the stored 450 MHz reference value: CL(f) = CL(450) − 2.5 · log₁₀(f / 450). Verified against the RFS RCF78 2024 datasheet across 75 MHz to 2700 MHz to ±0.5 dB. Below 450 MHz the correction increases coupling (conservatively tightening VHF mining spacing); above 450 MHz it decreases coupling slightly.

How do the custom segment layouts work?

Click Custom Layout on the Main Line section to make each segment's End cell editable. Start of the next segment chains automatically and every dependent value (cable loss, connector loss, inline pad, off-air RSSI, amp gain, reserve) recomputes live. Use + Break on any chain header (main or a branch) to insert another amp position; click the × on any row to remove one. Custom layout state is per-chain — main and each branch carry their own boundaries so amp positions can be pinned against real drift access points and equipment niches.

How are branch segment positions displayed?

In Head-End-relative (mine-run) coordinates. A branch tapped at 500 m on the main run with a first segment of 350 m reads 500 → 850 m in the Start / End columns (not 0 → 350). The field tech walks a single cable-length-from-HE axis across the whole network. The branch chain title carries the explicit cable-axis span (e.g. "branch cable 500 → 1000 m") so the coordinate system is self-documenting in both the UI and the PDF test sheet.

What does the PDF test sheet contain?

A landscape A4 commissioning record matching the noIM₃ HF Link Report design system — no cover page, just one or more landscape pages of segment-table data ready to print. The header strip carries project / site / technician / date and the full design parameter set (amplifier class, cable, frequency, pilot, target amp input + gain, RSSI floor + distance, body / connector / coupling). Below the strip every chain renders its segment table with 12 columns: Seg # · Start (m) · End (m) · Length (m) · Cable Loss (dB) · Inline Pad SET (dB) · Expected @ Amp In (dBm) · Expected Off-Air @ End (dBm) · Measured @ Amp In (dBm) · Measured Off-Air @ End (dBm) · Pass / Fail · Notes. The four measured columns are amber-tinted so the printed sheet visually signals what the tech needs to write. Auto-paginates with the table header repeated on subsequent pages.

Does the calculator do intermodulation, DC voltage drop, or 3D coverage prediction?

No. This calculator is intentionally scoped to spacing, conducted signal level, inline pad sizing, off-air RSSI, cascade noise figure, and total DC current draw. Full intermodulation analysis (IM3 with downlink and uplink passband filtering at every amplifier and head end), bidirectional uplink and downlink, multi-carrier composite power tracking through the cascade, DC power feed solver, and over-the-air mobile-radio coupling sit in the dedicated Leaky Feeder Designer canvas environment. 3D coverage prediction with terrain and structure loss sits in the Leaky Feeder 3D Coverage tool. The Amplifier Spacing Calculator is the back-of-envelope feeder into those workflows and the commissioning record they sign off against.

How is cascade noise figure computed?

Per chain using the Friis formula with each amplifier's actual AGC gain block setting (= pilot − target input + reserve consumed on that segment), not the vendor Gmax. Feeding Gmax to Friis under-states cascade NF because lower per-stage gain raises the noise contribution of downstream stages. The reported number reflects the segment pattern shown in the trace, not a best-case floor.

Where do the cable K₁ / K₂ and coupling values come from?

Every cable in the library is sourced from a 2023–2024 manufacturer datasheet. K₁ / K₂ longitudinal loss coefficients are least-squares fitted across the published frequency points to ±0.1 dB / 100 m. Coupling losses are stored at the 50 % / 95 % planning levels at the cable's reference frequency, with provenance metadata (datasheet source, revision date, IEC test standard, last review date) stored alongside in the JSON cable database. The library covers RFS RADIAFLEX (RCF12, RCF78, RCF78-MSHA, RLF114, RLKW114), CommScope RADIAX (RXL-12, RXL-78, RXL-114), and Times Microwave LMR (LMR-600, LMR-900 — non-radiating feeders).

Does any of my network plan data leave the browser?

No. The calculator runs entirely in your browser. No amplifier class choice, cable selection, run length, branch topology, segment layout, commissioning measurement, or any other data is submitted to a server. This matters when the network plan is operationally sensitive, commercially confidential, or covered by an information security policy that prohibits sending raw infrastructure data to third party services.