Module 02 of 11 · Academy overview

Ozense Academy · FMCW Radar Physics

Radar Resolution: Range, Velocity and Angle

When two nearby targets appear as two targets – and why resolution is not the same as accuracy or range.

FMCW radar separates targets along several dimensions. Range, Doppler and angle resolution rest on different physical observation windows: bandwidth, time and aperture.

ΔRΔvΔθBandwidthCPIAperture
THREE DIMENSIONS · THREE SEPARATION CRITERIAschematic
RANGEVELOCITYANGLEBandwidth BObservation time TAperture D
Didactic peaks. Not a representation of real Ozense resolution or antenna parameters.
Interactive lab

How do two targets become separable?

Switch between Range, Velocity and Angle. Each tab changes exactly the physical quantity that dominates the respective resolution.

Keeping the terms apart

Resolution, accuracy, maximum range and bin spacing are not the same thing

ResolutionSeparating two targets

How close two targets may be in one dimension before they no longer appear as separate responses.

AccuracyLocalizing one target correctly

How close an estimate is to the true value. Good accuracy can be better than the nominal resolution.

Max Range / VelocityMeasurement range

How far or how fast can be measured without ambiguity. That is a different design problem.

FFT BinDiscrete sampling

Bin spacing and physical resolution are related but not always identical – especially with windowing and interpolation.

01 · Range

Range resolution follows from bandwidth

For an idealized FMCW signal, approximately: the larger the effective sweep bandwidth, the smaller the minimum separable range difference.

ΔR ≈ c / (2 B)c: speed of light · B: FMCW bandwidth used. Practical separability additionally depends on windowing, SNR, target amplitudes and processing.
02 · Velocity

Velocity resolution needs observation time

Doppler velocity is estimated from phase evolution across several chirps. A longer coherent observation window yields finer Doppler resolution.

Δv ≈ λ / (2 Tobs)Simplified teaching relation for the coherent observation window. λ: wavelength · Tobs: effective observation time. Waveform and MIMO structure can affect the concrete formula.
03 · Angle

Angle resolution needs spatial aperture

Angular separation arises from phase differences across several spatially separated antenna channels. A larger effective aperture improves separability.

Δθ ≈ λ / D Broadside approximation in radians as a didactic rule of thumb. The exact angle resolution depends on array geometry, element count, spacing, beamformer, SNR and viewing angle.
System design

Better resolution costs resources

More BΔR ↓

More RF/ADC bandwidth and suitable chirp design.

More TΔv ↓

Longer observation can affect latency and maneuver sensitivity.

More DΔθ ↓

Larger aperture or more virtual channels increase hardware and calibration requirements.

Signal processing

Zero padding creates more samples – but no new physical information

A longer FFT via zero padding can interpolate peaks more smoothly and refine the display. But it does not automatically improve the fundamental ability to separate two physically non-separable targets.

Key point: More FFT points ≠ more sensor information. Resolution arises from bandwidth, observation time and aperture – not from a cosmetically finer axis.

Limits

The simple formulas are design anchors, not a complete performance forecast

SNR

Weak peaks may not be reliably separable despite nominal resolution.

Windowing

FFT windows change main-lobe width and sidelobes.

Amplitude

A strong target can mask a weak neighboring target.

Array calibration

Phase/gain errors degrade angle processing.

Off-boresight

Angle resolution is not constant across the entire field of view.

Waveform

MIMO and chirp planning couple resolution to further system parameters.

FAQ

Frequently asked questions about radar resolution

Is 0.2 m range resolution the same as ±0.2 m accuracy?

No. Resolution describes the separability of two targets; accuracy describes the deviation of an estimate from the true value.

Does a larger FFT improve resolution?

Zero padding can refine the spectral display and peak interpolation, but it does not create additional physical information.

Why does angle resolution get worse away from broadside?

The spatial frequency depends on sin(θ); this changes the angular scale and the separation with viewing angle.

Primary source / manufacturer fundamentals

Sources

  1. Texas Instruments. Intro to mmWave Sensing: FMCW Radars – Module 1 (Range Estimation).
  2. Texas Instruments. Intro to mmWave Sensing: FMCW Radars – Module 2 (Velocity Estimation).
  3. Texas Instruments. Intro to mmWave Sensing: FMCW Radars – Module 5 (Angle Estimation).
Further reading

Resolution is only one layer of radar performance.

For real drone detection, signal strength, clutter, detection, tracking and classification must be validated together.