ECE 495 — Electromagnetic Warfare and Survivability
Block 2: RF Electronic Warfare Lesson 11: From Radar to EW
Juan Jurado, Col, USAF, Ph.D.
Permanent Professor and Head
Electrical and Computer Engineering
Fall 2026
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First day of Block 2; laptops out for the type-along later.
Block 2 · Lesson 11 · Where We Left Off
Where We Left Off
Block 1 put you in the threat's seat: you can now compute exactly how an IADS sees the B-21, aspect by aspect, band by band.
Block 2 flips the seat. Same physics, opposite agenda.
Today
What EW actually is, the three pillars in doctrine terms, the
asymmetry the whole discipline rests on, and where B2 goes
from here.
One minute of recall, then move.
Block 2 · Lesson 11 · Objectives
Lesson Objectives
By the end of this lesson, you will be able to:
Map each term of the radar range equation to the EW lever that attacks it
State the roles of ES , EP , and EA with doctrinally correct examples
Explain the one-way vs two-way detection asymmetry and why it favors the listener
Navigate the Block 2 roadmap from ES through EA to Project 2
Read them out; return here at wrap-up.
Block 2 · Lesson 11 · Part One
The Target List
You spent Block 1 learning to evaluate one equation. Read it again as an operator and every symbol in it turns into something one side pays to protect and the other pays to exploit.
Shift the frame from physics to agenda.
Block 2 · Lesson 11 · The Target List
The Range Equation Is a Target List
Maximum detection range
\[ R_{\max} = \left[\frac{P_t \, G_t \, G_r \, \lambda^{2} \, \sigma}{(4\pi)^{3} \, S_{\min}}\right]^{1/4} \]
Every factor is something we can attack or defend.
Hold here. Take one term from the floor before advancing.
Block 2 · Lesson 11 · The Target List
The Range Equation Is a Target List
Maximum detection range
\[ R_{\max} = \left[\frac{P_t \, G_t \, G_r \, \lambda^{2} \, \sigma}{(4\pi)^{3} \, S_{\min}}\right]^{1/4} \]
Term Pillar The EW lever
$\sigma$ EP Shrink it by design: LO shaping and RAM
$S_{\min}$ EA Raise their effective noise floor: jamming
$G_t, G_r$ EA Enter through the side lobes they can't help having
$P_t$, $\lambda$, PRF ES Every emission leaks intent: collect it
B1 taught you the equation. B2 teaches you to fight it.
Walk the rows; ask which one Block 1 already spent ten lessons on.
Block 2 · Lesson 11 · Part Two
The Three Pillars
You met ES, EP and EA in L1 as three words. Here each one gets its working definition, its hardware, and the term of the range equation it reaches for.
Three slides, one per pillar. Keep the pace up.
Block 2 · Lesson 11 · Electromagnetic Support
Electromagnetic Support (ES)
Situational awareness EW
Sense the spectrum to support targeting, warning, and intelligence.
On-board: radar warning receivers (RWR), EO/IR warning sensors
Off-board: SIGINT / ELINT / COMINT national assets
Exploits the threat's one unavoidable weakness: a radar must radiate to work
Feeds everything else — EA needs cueing, routes need threat locations
Legacy term: ESM. Modern Joint term: Electromagnetic Support.
Cold-call: name something on the B-21 that does this.
Block 2 · Lesson 11 · Electromagnetic Protect
Electromagnetic Protect (EP)
Defensive EW
Protect our own use of the spectrum, against both enemy attack and friendly interference.
LPI waveforms — spread the energy so the listener's job gets hard
Agility — frequency and polarization hopping outrun the jammer's set-on
Side-lobe cancellation — close the back doors into the receiver
Hardening and LO — survive the disturbance, deny the detection
Legacy term: ECCM. Modern Joint term: Electromagnetic Protect.
Note that friendly interference counts too — not only the enemy.
Block 2 · Lesson 11 · Electromagnetic Attack
Electromagnetic Attack (EA)
Offensive EW
Deny, degrade, or deceive the enemy's use of the spectrum.
Noise jamming — self-protect and stand-off; brute-force the $S_{\min}$ term
Deception — DRFM false targets; lie to the tracker instead of shouting at it
Expendables — chaff and flares; give the seeker something better to love
NAVWAR — counter-PNT; the spectrum includes GPS
Legacy terms: ECM, and confusingly, “EW.” Modern Joint term: Electromagnetic Attack.
Flag the noise-versus-deception split; L17 and L18 own it.
Block 2 · Lesson 11 · Part Three
The Listener's Advantage
One asymmetry sits under all of it, and it falls straight out of the exponents you have been carrying since L3.
This is the idea the rest of the block is built on.
Block 2 · Lesson 11 · Listener's Advantage
The Listener's Advantage
radar threshold
RWR threshold
detect before detected
signal at RWR — one-way, 1/R²
radar echo — two-way, 1/R⁴
1
100
200
300
range R (km)
received level (dB)
The radar needs its energy to make a round trip . The RWR only needs to hear it arrive .
Radar detection: power falls as $1/R^4$ — two-way
RWR intercept: power falls as $1/R^2$ — one-way
Same transmitter, same instant: the listener wins by orders of magnitude
In practice the RWR's limit is the horizon, not its sensitivity
The radar pays $R^4$ to see you. You pay $R^2$ to hear it.
Trace both curves with a finger before the bumper lands.
Block 2 · Lesson 11 · The Cycle
The Endless Cycle: Measure, Counter, Counter-Counter
Action
The radar innovates: pulse-Doppler, frequency agility, LPI.
Reaction
Countermeasures answer: noise jammers, chaff, DRFM deception, LO.
Counter-reaction
ECCM closes the loop: hopping, side-lobe cancellation, adaptive processing, multistatic radar.
No move is permanent — every technique in B2 has a counter.
EW is decided as much by speed of adaptation as by hardware.
Take a Block 1 topic from the floor and place it on the loop.
Block 2 · Lesson 11 · Roadmap
Block 2 Roadmap
ESL12–L14
→
EPL15–L16
→
EAL17–L18
→
Project 2L19–L20
ES — RWR architecture, angle of arrival, triangulation and fusion
EP — LPI radar, agility, side-lobe cancellation, spread spectrum for comms
EA — jamming taxonomy, J/S and burn-through, DRFM deception, decoys
Project 2 — B-21 standoff emitter geolocation: design the collection, fix the emitters, defend the CEP
Same rhythm as B1: HW2 and Quiz 2 land with the Project 2 presentations at L20.
Point at where the project sits; the whole block feeds it.
Block 2 · Lesson 11 · Quick Exercise
Quick Exercise / Type-along: Who Hears First
Type this with me — the B1 threat table, plus a $-60$ dBm RWR.
c = 3e8; names = {'EW','ACQ','TTR'};
Pt = [2e6 1e6 100e3]; % W
G = 10.^([25 30 35]/10); % Gt = Gr
lam = c ./ [0.5e9 3e9 10e9]; % UHF, S, X
Smin = 10.^([-158 -160 -150]/10); % radar floors, W
sig = 10.^([-17.9 -25.5 -32.0]/10); % B-21 nose-on
Srwr = 10^(-60/10)/1e3; % -60 dBm -> W, 0 dBi
R4 = ((Pt.*G.^2.*lam.^2.*sig) ./ ((4*pi)^3*Smin)).^(1/4);
R2 = sqrt((Pt.*G.*lam.^2) ./ ((4*pi)^2*Srwr));
for k = 1:3
fprintf('%-4s radar %6.1f km RWR %7.0f km %4.0fx\n', ...
names{k}, R4(k)/1e3, R2(k)/1e3, R2(k)/R4(k));
end
fprintf('Radio horizon from 40 kft: %.0f km.\n', 4.12*sqrt(12192));
The TTR sees the B-21 at 23 km. Since when has the B-21 heard it?
Then: double every $P_t$. Which range grows faster — and why?
Type it line by line with the class, then discuss the two questions.
Today's Interactive Demo: Listener's Advantage
Companion script: L11_OneWayVsTwoWay.m
In L12 we open up the box that does the hearing: the RWR
Live demo
Listener's Advantage
usafa-ece.github.io/ece-495-ew
Demo hand-off; drive it from here. Two controls: chips pick the threat
class - EW at UHF, ACQ at S band, TTR at X band, the same three radars
from Block 1 and Project 1 - and one slider moves the range between the
B-21 and that radar. The range axis is logarithmic and runs from one
kilometre to a hundred thousand, because the story spans five decades.
Two curves: the echo getting back to the radar, falling as one over R
to the fourth, and the same radar's signal arriving at the RWR, falling
as one over R squared. Each has its own dashed sensitivity floor, and
the tiles read out where each curve crosses its floor. The darker shaded
band is detect-before-detected with line of sight; the fainter band
beyond it is where sensitivity still says yes but the emitter is over
the radio horizon. Step the three classes and let them watch the ratio
tile. Then park the slider past the horizon line and ask what is
actually limiting the listener. Companion script they run on their own.
Block 2 · Lesson 11 · Wrap-Up
Wrap-Up
Key ideas
The range equation is a target list — every term is an EW lever
ES senses, EP defends, EA attacks; ES feeds the other two
One-way beats two-way: the listener detects at $R^2$ while the radar pays $R^4$
Every move has a counter — B2 is a tour of the move–countermove tree
Next lesson
L12: Electromagnetic Support — the RWR, inside and out
Pre-flight quiz for L12 due before class
Close the loop on the objectives slide.