Uniform PRT Processing

 

An autocorrelation is computed on the inphase and quadrature data, using a standard pulse pair algorithm . The output of the standard pulse pair algorithm are the zeroth and first lag of the complex autocorrelation function: Rn(0) and Rn(Ts). The total received power is defined as: Pn = Rn(0), and the resultant vector of the lag one autocorrelation is defined as: Rn(Ts) = An + jBn; where n denotes the frequency number (1 £ n £ 5). The autocorrelation is performed simultaneously on all transmitted frequencies. Vector addition is performed across the frequencies, yielding resultant vector R(Ts) , as given by equation 1:

Image2.gif (1)

Scalar addition is performed across the frequencies yielding P:

Image3.gif (2)

N is the total number of transmitted frequencies.

The final data products are computed from (1) and (2) as follows:

Reflectivity is given by

Image4.gif (3)

where RC is the radar constant and r is the range in km.

Mean velocity is determined by taking the argument of the first autocorrelation lag,

Image5.gif (4)

Spectrum width is computed as follows:

Image6.gif (5)

where

Image7.gif (6)

N is the noise power.

Normalized coherent power is defined as the ratio of the power calculated at lag one and the total received power:

Image8.gif (7)

It should be noted that the value of l used is the average of all transmitted frequencies.