From RF Circuits to FMCW Radar Signal Processing

Question I started with

I connected RF-circuit study to FMCW signal processing through chirp generation, transmit/receive chains, mixing, and IF sampling.

From RF Circuits to FMCW Radar Signal Processing — concept flow — I redrew the relationships before returning to the equations.

Connecting the concepts

A PLL/VCO creates chirp slope; mixing the transmitted chirp with a delayed echo produces beat frequency. ADC sampling, range FFT, slow-time Doppler, and antenna-phase processing follow as distinct processing stages.

FMCW
chirp
mixer
beat frequency
range FFT

Equations and assumptions

I write the reference impedance, units, and linear-versus-decibel domain before substituting numbers.

f_b = S tauR = c f_b / (2 S)

Worked example

With slope S=30 MHz/µs and a 2 MHz beat, the ideal range estimate is 10 m. Actual bins and bias depend on sampling, windows, calibration, and leakage.

From RF Circuits to FMCW Radar Signal Processing — calculation relationship — This is my explanatory redraw, not an imported RFDH figure or a measurement result.

Connecting it to my coursework and projects

My FMCW research page treats ECG, SCG, and radar alignment as a concurrent-signal timing problem and keeps the existing boundary against labeling a valve event from one radar peak alone.

High-frequency engineering course hub

What I will check next

The range equation assumes an ideal linear chirp. A calculation omitting antenna pattern, multipath, phase noise, nonlinearity, motion, and processing choices is not a people-tracking performance result.