Range in FMCW Radar
| 1 | Continuously transmit a chirp signal with linearly varying frequency. | |
| 2 | A frequency difference appears between the transmitted signal and the received echo from the target. | |
| 3 | Measure this frequency difference(beat frequency) via Range FFT and convert it to distance. |

1. Signal Flow and Processing

one target

multi-target

2. Range Formula
Range Measurement (Range FFT) can be performed with a single chirp.
Distance is calculated from the beat frequency between the transmitted and received chirp
| Range | ![]() |
f_b Measured Value
kr peak BIN index, Nr FFT size, Fs ADC Sampling rate c Speed of light B_RF Chirp Bandwidth Tc Chirp Time S Chirp Slope |
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| Resolution | ![]() |
Chirp bandwidth limit the resolution between 2 objects. c Speed of light B_RF Chirp Bandwidth |
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| Max Range Limit | ![]() |
Baseband signal bandwidth limits the measurable max range. B_BB ADC input baseband signal bandwidth S Chirp Slope |



