Design Variables — available knobs and cost ranges
Reff = ⁴√( Pt · Gt² · λ² · σ / (4π)³ · Pr,min )
| Knob | Cost Range | Effect on Reff | Also Controls |
| FREE Frequency f |
$0 |
λ²·σ product (trade space) |
Jammer vulnerability, atm. loss |
| COST Sensitivity Pr,min |
$5K – $750K |
∝ (1/Pr,min)¼ |
Noise floor, receiver complexity |
| COST Tx Power Pt |
$25K – $12M |
∝ Pt¼ |
Weight, cooling, prime power |
| COST Antenna Gain Gt |
$5K – $5M |
∝ Gt½ (enters squared) |
Aperture size, beamwidth |
| FREE Pulse Width τ |
$0 |
None — affects δR only |
δR = cτ/2 (range resolution) |
REQ 1: Detect H-20 at ≥330 km slant range ·
REQ 2: Resolve two H-20s (δR ≤ 50 km)
Goal: satisfy both requirements at minimum total cost.
H-20 RCS vs Frequency — nose-on (m²) · red bands = active jamming · ∇ = selected frequency
Received Power vs Slant Range · vertical line = 330 km requirement
First Design Review — commit to enter the sandbox