Radar

Radar Waveform

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A radar waveform is the specific modulation applied to the transmitted RF pulse that determines the radar's range resolution, Doppler resolution, and ambiguity properties. Common waveforms include simple pulse (unmodulated), linear FM chirp (LFM), phase-coded pulse (Barker, polyphase), stepped-frequency, and FMCW (continuous wave chirp). Waveform selection is the most important system-level decision in radar design.
Category: Radar
Related to: Radar, Chirp, Pulse Compression, FMCW, Doppler Shift
Units: us (pulse width), MHz (bandwidth)

Understanding Radar Waveforms

The transmitted waveform fundamentally determines what a radar can and cannot measure. Different waveforms provide different trade-offs between range resolution, Doppler resolution, ambiguity, and signal processing complexity.

Common Radar Waveforms

  • Simple pulse: Unmodulated RF burst. Range resolution = c*tau/2. Simple but limited.
  • Linear FM chirp (LFM): Frequency sweeps linearly across the pulse. Pulse compression = TB. Most common advanced waveform.
  • Phase-coded (Barker): Pulse divided into sub-pulses with binary phase pattern. Good sidelobe properties for short codes. Codes up to length 13.
  • FMCW: Continuous chirp sweep. Used for automotive radar, altimeters. Simultaneous range and velocity.
  • Stepped frequency: Discrete frequency steps within a pulse. Ultra-wide effective bandwidth from narrowband steps.
Common Questions

Frequently Asked Questions

What is a radar waveform?

The radar waveform is the modulation applied to the transmitted signal. It determines range resolution, Doppler resolution, and ambiguity properties. Common types: simple pulse, LFM chirp, phase-coded, FMCW, and stepped frequency.

Why use LFM chirp instead of a simple pulse?

LFM chirp provides pulse compression: the range resolution of a short pulse with the energy of a long pulse. A 100 us LFM with 10 MHz bandwidth provides 15 m resolution (same as a 0.1 us pulse) with 1000x more energy for detection range.

What is the ambiguity function?

The ambiguity function is a 2D plot of the radar's joint range-Doppler response. It shows the trade-off between range and Doppler resolution inherent in any waveform. The ideal waveform has a thumbtack ambiguity function (narrow in both dimensions).

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