Theory

This section introduces key concepts and theoretical reminders which will be leveraged in the Hands-on section

Theoretical refreshers

• FMCW Radar 100 - Radar Imaging
  • Radar vs Camera Imaging
  • Considerations on coherent sampling
  • Sensing elements
  • REFERENCES
• FMCW Radar 101 - Intro
  • FMCW Maths 101
  • phase information
  • Minimum Reproductible Examples
  • Distance
  • Speed w/ phase (no FFT)
  • Range-Doppler FFT (2D FFT)
  • 2D FFT - 3 targets
• FMCW Radar 102 - CFAR
  • CFAR maths
  • Generic intro
  • Application to FMCW radar
  • Illustration
• FMCW Radar 103 - AoA
  • AoA Maths
  • Minimum Reproductible Examples
  • Phase based AoA estimate
  • FFT based AoA
  • Bartlet based AoA
  • Capon based AoA
  • Back-up
  • BARTLET in python
  • Back-up and research code
  • PYARGUS
  • angle of arrival with FFT
  • angle of arrival with cross-correlation
  • DFT
  • AoA - MRE (old #2)
  • AoA trial #2
• FMCW Radar 104 - Freq estimator
  • MRE for frequency bin error computation
  • MRE for Quinn’s second frequency estimation
  • MRE for Zero Padding
  • [STRIKEOUT:MRE for PHASE to FREQ]
  • BACK-UP
  • DFT PHASE vs FREQ in 1 bin (from maths)
  • DFT PHASE vs FREQ in 1 bin (from FFT)
  • FREQ from PHASE
  • Back-up #2
  • Quinn’s second order
  • PHASE to FREQ
  • no code
  • zero padding
  • OLD and crap from here
  • FFT padding
  • CROSS CORRELATION
• FMCW Radar 105 - Vibration
• FMCW Radar 106 - Phased Arrays
  • SETUP
  • Generate data
  • Plot inteferences
  • Plot interferences
  • PLOT ANIMATION INTERFERENCES
  • BPM
  • Beam Steering
  • Amplitude tapering
• FMCW-Radar-107_Micro-Doppler
  • 2 Targets 180 degrees
  • 3 Targets each 120 degrees
  • UDOP w/ STFT
• FMCW Radar 108 - Antennas
  • Different types of antennas
  • Antenna patches
• FMCW Radar 201 - Maths
  • Transmitting a chirp
  • Receiving a chirp
  • Mixer RX and TX leading to IF
  • Changes in distance
  • Discrete Fourier Transform (DFT) to the rescue
  • SYMPY verifications
  • FMCW equation
  • Chirping
  • Definitions
  • Received signal
  • Mixer and IF
  • Trigonometric relations
  • Mixer output
  • Focus on the IF (low frequency component)
  • cases where the phase varies
  • BACK-UP section
• FMCW Radar 202 - CFAR Pd Pfa Pmiss
  • Executive summary
  • LITTERATURE REVIEW
  • IWR6843 COR
  • THEORETICAL STUDY for Receiver Operating Characteristic (ROC)
  • ROC curve
  • COMPARISON OF CFARS
  • Binary Integration (MooN)
• FMCW Radar 205 - mmWave Atmospheric Absorptoin
  • Millimeter–wave Propagation Model (MPM)
  • INFRARED RANGE
  • NIR
  • BACK-UP / PLAYGROUND
• FMCW Radar 206 - Reflections