Radar Systems Radar Operations Questions Informational

How do I calculate the range gate width and number of range gates for a pulsed radar?

Calculating the range gate width and number of range gates for a pulsed radar determines the radar's range resolution and total coverage. The range gate width: each range gate corresponds to a time window during which the receiver samples the returned echo. The range gate width is determined by the pulse width: range_gate_width = c × tau / 2, where c is the speed of light and tau is the pulse width. For a 1 microsecond pulse: range_gate_width = 3 × 10^8 × 1 × 10^-6 / 2 = 150 meters. For a 0.1 microsecond pulse: range_gate_width = 15 meters. Narrower range gates provide better range resolution but require: wider receiver bandwidth (BW approximately 1/tau), which increases the noise power and reduces the sensitivity. The number of range gates: determines the total unambiguous range coverage. Number_of_gates = R_max / range_gate_width, where R_max is the maximum instrumented range. R_max is limited by the pulse repetition interval (PRI): R_max = c × PRI / 2. For PRI = 1 ms: R_max = 150 km. Number of range gates: 150,000 m / 150 m = 1,000 range gates (for 1 microsecond pulse). The receiver's signal processor must: sample and process all range gates within each PRI (this determines the processing throughput requirement: number_of_gates × sample_rate × bits_per_sample × PRF = total data rate). For pulse compression radar: the range gate width can be much smaller than the physical pulse width because: the pulse is frequency-coded (chirp) and compressed by matched filtering, achieving a range resolution of c/(2B) where B is the chirp bandwidth (which can be much larger than 1/tau).
Category: Radar Systems
Updated: April 2026
Product Tie-In: Radar Components, Signal Processors

Radar Range Gate Calculation

Range gates partition the radar's range coverage into discrete bins. Each range gate collects the echo energy from a specific range interval, enabling the radar to determine target range and resolve multiple targets at different ranges.

ParameterPulsedCW/FMCWPhased Array
Range Resolutionc/(2B)c/(2B)c/(2B)
Velocity ResolutionPRF dependentDirect from DopplerCoherent processing
Peak PowerHigh (kW-MW)Low (mW-W)Moderate per element
ComplexityModerateLowHigh
Typical ApplicationSurveillance, weatherAltimeter, automotiveTracking, multifunction

Waveform Design

When evaluating calculate the range gate width and number of range gates for a pulsed radar?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Detection Performance

When evaluating calculate the range gate width and number of range gates for a pulsed radar?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Clutter and Interference

When evaluating calculate the range gate width and number of range gates for a pulsed radar?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

  • Performance verification: confirm specifications against the application requirements before finalizing the design
  • Environmental factors: temperature range, humidity, and vibration affect long-term reliability and parameter drift
  • Cost vs. performance: evaluate whether the application demands premium components or standard commercial grades
  • Interface compatibility: verify impedance, connector type, and mechanical form factor match the system architecture
  • Margin allocation: include sufficient design margin to account for manufacturing tolerances and aging effects

Signal Processing Chain

When evaluating calculate the range gate width and number of range gates for a pulsed radar?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Common Questions

Frequently Asked Questions

What about oversampling?

Oversampling the range gates: sampling at a rate higher than 1/τ (the pulse bandwidth) provides: more range bins than the minimum (enabling interpolation between gates for finer range estimation), better noise averaging, and improved detection of targets that fall between gate boundaries (straddling loss). Typical oversampling: 2× (sample at 2/τ, providing range bins at c×τ/4 spacing). The straddling loss without oversampling: up to 3.9 dB (worst case, when the target is exactly between two gates and its energy is split equally). With 2× oversampling: worst-case straddling loss is reduced to approximately 0.5 dB.

What about MTI and range gates?

MTI (Moving Target Indication) and range gates: MTI processing is applied independently to each range gate. The MTI filter compares the echo in each range gate across consecutive PRIs to distinguish moving targets from stationary clutter. Each range gate's signal is: stored for the current PRI, subtracted from (or compared with) the same range gate's signal from the previous PRI. Stationary clutter (same amplitude and phase in each PRI): cancels. Moving targets (phase changes between PRIs due to Doppler): produce a residual signal after subtraction. The MTI must be applied to all N range gates in parallel: modern systems use digital MTI implemented in FPGAs or DSPs.

What about pulse compression?

Pulse compression: transmit a long, low-power pulse (for high energy on target) but: code the pulse with a wide bandwidth waveform (chirp or phase code) so that, after matched filtering, the effective pulse is compressed to a much shorter duration. The range resolution is determined by the bandwidth (not the pulse width): ΔR = c/(2B). For a 10 μs pulse with 10 MHz chirp bandwidth: uncompressed gate: 1,500 m. Compressed gate: 15 m. Compression ratio: 100×. The number of range gates increases by the compression ratio (from 100 gates to 10,000 gates in the example), increasing the signal processing load accordingly.

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