System Design

Coherent Radar

An air traffic control tower spots an aircraft on radar. With an old non-coherent magnetron system, the operator knows the plane is 10 miles away, but because the radar only measures raw amplitude, they cannot tell if the plane is moving toward them or hovering. Worse, the faint echo of the plane is completely drowned out by the massive echoes bouncing off a nearby mountain (ground clutter). They upgrade to a Coherent Radar. This system uses a highly stable master oscillator to lock the phase of the transmitted pulse. When the echo returns from the mountain, its phase exactly matches the master oscillator, so the radar deletes it. When the echo returns from the moving plane, the Doppler effect has shifted the phase of the wave. The coherent receiver instantly detects this phase mismatch, calculates the plane's exact velocity, and paints a bright, isolated target on the screen, completely immune to the stationary mountain.
Category: System Design
Architecture: MOPA (Master Oscillator Power Amplifier)
Primary Advantage: Doppler velocity extraction / MTI filtering

Radar Architecture Comparison

FeatureNon-Coherent (Magnetron)Coherent (MOPA/Solid-State)
Signal SourceSelf-oscillating magnetronContinuous stable master oscillator
Phase StabilityRandom starting phase per pulsePerfect phase lock across all pulses
Data ExtractionRange (Time of flight)Range + Velocity (Doppler Phase)
Clutter RejectionTerrible (Masked by mountains/rain)Excellent (Stationary targets deleted)
Doppler Frequency Shift Calculation:
fd = (2 · vr) / λ
Where fd is the Doppler shift in Hz, vr is the radial velocity of the target, and λ is the wavelength of the radar. The coherent receiver mixes the returning echo with the master oscillator to extract this tiny fd difference.

The Blind Speed Equation:
vblind = (n · λ · PRF) / 2
Where PRF is the Pulse Repetition Frequency and n = 1, 2, 3... If a target's velocity exactly matches this equation, the phase shift between pulses is a multiple of 360°. The coherent processing filters the target out, mistaking it for stationary clutter.
Common Questions

Frequently Asked Questions

What does MTI mean?

Moving Target Indicator. It is the primary signal processing software that runs on the back-end of a coherent radar. The MTI filter stores the phase of the echoes from the first pulse in memory. When the echoes from the second pulse arrive, it subtracts the new phases from the old ones. Anything that hasn't moved (buildings, mountains) produces a zero result and is deleted from the screen. Anything that is moving (aircraft, missiles) produces a phase difference and is displayed.

Can magnetrons ever be coherent?

Not natively, because a magnetron is a physical resonant cavity that starts oscillating randomly every time high voltage is applied. However, engineers invented "Coherent-on-Receive" systems. When the magnetron fires its random pulse, a small sample of that random phase is injected into a "Coho" (Coherent Oscillator) which locks onto that specific phase and remembers it just long enough for the echo to return. It is a cheap workaround used in older weather radars.

How do modern fighter jets avoid blind speeds?

If an enemy missile is traveling exactly at the radar's blind speed, it will turn invisible on the screen. To prevent this deadly flaw, modern Active Electronically Scanned Array (AESA) radars employ "PRF Staggering." The radar constantly changes its pulse repetition frequency from millisecond to millisecond. While a missile might hit the blind speed for one specific PRF, it is mathematically impossible for it to remain at the blind speed when the PRF changes a fraction of a second later.

System Design

Blind Speed Calculator

Input your radar's operating frequency and PRF. Instantly calculate the first three velocity blind spots where moving targets will become invisible to your coherent MTI processing filters.

Calculate Velocity Blind Spots