radar range measurement error

Last modified by

on

Jul 24, 2020, 6:28:07 PM

Created by

on

Dec 10, 2014, 2:39:14 AM

$sigma_R = [( Delta_R ^2) / (2 * S/N )+ sigma_"RF" ^2+ sigma_"RB" ^2]^(1/2)$

$(Delta_R)"RangeResolution"$

$(S/N)"Signal to Noise Ratio"$

$(sigma_"RF")"Range Fixed Error"$

$(sigma_"RB")"Range Bias Error"$

INPUTS

The rms measurement error can be characterized:

$sigma_R = ( sigma_"RN"^2 + sigma_"RF"^2 + sigma_"RB"^2 ) ^(1/2)$ , where

$sigma_"RN"$ = S/N-dependent random range measurement errors

$sigma_"RF"$ = range fixed error, the root sum square of the radar fixed random range error and the random range error from propagation

$sigma_"RB"$ = the range bias error, which is the root sum square of the radar range bias error and the range bias error from propagation

And $sigma_"RN"$ = $DeltaR *sqrt(2* (S/N)) = c / (2*B*sqrt(2* (S/N)) )$ , where B is the waveform bandwidth and c is the speed of light

then

$sigma_R = ( c^2 /(8 * B^2 * S/N) + sigma_"RF"^2 + sigma_"RB"^2 ) ^(1/2)$

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