Main Content

Range and Doppler Estimation

Range and Doppler estimation, range-Doppler and range-angle processing, and FMCW range estimation, detection clustering

The Phased Array System Toolbox™ includes a System object and Simulink® block for range-Doppler processing. Utility functions let you compute range-Doppler coupling, convert beat-to-range.


phased.RangeAngleResponseRange-angle response
phased.DopplerEstimatorDoppler estimation
phased.RangeDopplerResponseRange-Doppler response
phased.AngleDopplerResponseAngle-Doppler response
phased.RangeEstimatorRange estimation
phased.RangeResponseRange response
clusterDBSCANData clustering


Doppler EstimatorDoppler estimation
DBSCAN ClustererCluster detections
Range-Angle ResponseObtain range-angle response map for array
Range Doppler ResponseRange-Doppler response
Range EstimatorRange estimation
Range ResponseRange response


expand all

beat2rangeConvert beat frequency to range
range2beatConvert range to beat frequency
rdcouplingRange Doppler coupling
stretchfreq2rngConvert frequency offset to range
blakechartRange-angle-height (Blake) chart
bw2rangeConvert bandwidth to range resolution
physconstPhysical constants
radareqpowPeak power estimate from radar equation
radareqrngMaximum theoretical range estimate
radareqsnrSNR estimate from radar equation
radarvcdVertical coverage diagram
range2bwConvert range resolution to required bandwidth
bw2rangeConvert bandwidth to range resolution
physconstPhysical constants
range2bwConvert range resolution to required bandwidth
range2tlCompute underwater sound transmission loss from range
sonareqslCompute source level using the sonar equation
sonareqsnrCompute SNR using the sonar equation
sonareqtlCompute transmission loss using the sonar equation
tl2rangeCompute range from underwater transmission loss


Radar Equation CalculatorEstimate maximum range, peak power, and SNR of a radar system
Sonar Equation Calculator Estimate maximum range, SNR, transmission loss and source level of a sonar system



Range-Doppler Response

Perform range-Doppler processing and visualize range-Doppler maps.

Radar Equation

Radar Equation

Solve the radar equation for peak power, range, and SNR in monostatic and bistatic configurations.

Standards and Conventions

This section introduces the concept of baseband signals and defines the local and global coordinate systems used in the toolbox.

Units of Measure and Physical Constants

Phased Array System Toolbox uses the International System of Units (SI).