Assume military sensors are TL15, model 9, while civilian sensors are TL8, model 1. Add the two numbers together.
8+1=9 which = range of 0.5 light seconds
15+9=24 which = range of 2.0 light seconds
Therefore add 0.1 light seconds range per TL above 8 or per model above 1.
Sensor model is equal to computer model.
The ranges above are for active scans. Passive scans have a quarter of the above range.
Ships have a passive (radiated) signature equal to half of the power plant number (round down) or the maneuver rating used during that turn.
Planetoid hulls reduce the radiated signature due to the power plant by 1; buffered planetoids reduce it by 2. This reduction is not applied to the signature due to maneuvering.
The ship's passive signature is multiplied by 0.25 light seconds and subtracted from its range to decide if it is within the sensor range of a scanning vessel.
e.g. a ship with a passive signature of +3 is detected if it moves to within 1.25 light seconds of a ship with military sensors (TL15, model 9).
Ships have a reflected signature based on hull size (and configuration USP):
less than 100t, -1
100t-999t, +0
1000t+, +1
5000t+, +2
USP
1-3, +0
4-6, +1
7-9, +2
The ship's reflected signature is multiplied by 0.25 light seconds and subtracted from its range to decide if it is within the active sensor range of a scanning vessel,
e.g. a ship with a reflected signature of +1 is detected if it moves to within 2.25 light seconds of a ship with military sensors (TL15, model 9).
Once a ship has been detected it can be tracked out to 3 light seconds, but once it moves beyond the sensor's auto spot range (modified by target signature) then a roll of 8 or more on 2d is required to maintain the target lock.
DMs:
+ signature for the sensor type
+ gunnery skill (or navigation -1)
- 1 per 0.25 light seconds outside auto spot range.
Notes:
these rules are based on the Traveller 2300 game Star Cruiser.
If you want to play cat and mouse then I would recommend changing the scale of LBB2 combat to 30cm = 1 light second, it fits better on a table top
1 G maneuver changes vector by 1cm.
laser to hit range modifiers become:
25cm+, -2
50cm+, -5
75cm+, -8
Active sensor jamming
A ship inside the active sensor range of an opponent may try to fool his active scans by running the ECM program. This actually consists of broadcasting false returns etc. using their own active sensor.
The attacking ship has to roll 12+ to obtain a sensor lock.
DMs:
+ 1 per level of gunnery skill (or navigation -1)
+ targets reflected signature
+/- 1 per relative TL
+/- 1 per relative computer model
If the attacking ship runs its own ECM program in ECCM mode then it gains a bonus of +4 to the roll to obtain a sensor lock.
Sensor Drones
A sensor drone is a specially modified missile with its warhead removed (or downgraded) and an active/passive sensor system installed. It maneuvers the same as a normal missile.
The drone’s sensors have half the range of the equivalent ship mounted sensors, and the drone can only go active a limited number of times depending on TL. The TL also determines the maximum model of sensor that can be installed. If the drone does not use its maneuver drive it may deploy a folding array to increase its sensor range to the same as that of an equivalent ship mounted system.
Number of active scans equals TL/3 round down.
Maximum sensor model equals TL/5 round down.
Sensor Decoy Drones
These are missiles that are modified to exactly mimic the passive and reflective signatures of the launching ship.
Their warhead is removed and replaced with extendable radiator panels and vanes that are designed to radiate the same heat signature and provide the same target profile as the reflected signature of the launching ship.
Once launched the drone(s) and the ship should be replaced with identical counters. Each then maneuvers separately and provides a problem for the attacking ship.
To identify a bogey as a drone or the ship roll 10+ on 2d.
DMs:
+/- 1 per relative TL
+ 1 per level of gunnery skill (or navigation -1)
Alternatively, just shoot them all

the decoy can only take one hit.
Area Jammer Drone
this is a missile modified to transmit as much white noise as possible to confuse active sensors. If the line of sight to a target passes within 0.1 light seconds of the drone then the active ship must roll to penetrate ECM as for active jamming, above.
If the target ship is also using ECM jamming then the active ship must make two roles to obtain a target lock.