Case 1: Calculation of Polarization Measurands

The processing in this mode is done by pulse pair algorithm. You may select a clutter filter.

Polarization Measurands for the Horizontal and Vertical Transmit Cases

Transmit Horizontal	or	Transmit Vertical
$L D R H = 10 L O G [ S v h S h h ]$	or	$L D R V = 10 L O G [ S h v S v v ]$
$= 10 L O G [ < | S v h | 2 > − N v < | S h h | 2 > − N h ] − X D R$	or	$= 10 L O G [ < | S h v | 2 > − N h < | S v v | 2 > − N v ] + X D R$
$R H O H = | ρ h |$	or	$R H O V = | ρ v |$
$P H I H = arg ⁡ | ρ h |$	or	$P H I V = arg ⁡ | ρ v |$

The H and V average channel powers are computed with optional noise correction as follows.

H and V Average Channel Powers

	Transmit Horizontal	or	Transmit Vertical
Co-	$g h r g h t S h h = < | S h h | 2 > − N h$	or	$g v r g v t S v v = < | S v v | 2 > − N v$
Cross-	$g v r g h t S v h = < | S v h | 2 > − N h$	or	$g h r g v t S v h = < | S h v | 2 > − N h$

The complex covariance ρ (used above) is as follows:

Complex Covariance ρ

Transmit Horizontal	or	Transmit Vertical
$ρ h = < S v h S h h * > S v h S h h$	or	$ρ h = < S v h S h h * > S v h S h h$

Fortunately, the algorithms do not require us to know each gain term. They cancel in the calculation of r, so they are taken as =1 in the implementation. However, the differential receiver gain LDR Offset must be known from the calibration to calculate LDR:

dB value is: $X D R = 10 L O G x d r$ where the linear value is $x d r g v r g h r$.