Input receiver sample notation

For the discussion of polarization, we use the notation used by Doviak and Zrnic. The received signal for pulse n from a single range bin is denoted as:

Input receiver algorithm notation
Notation Description
snhh Receive h: Transmit h Horizontal co-polar signal
snvh Receive v: Transmit h Horizontal cross-polar signal
snvv Receive v: Transmit v Vertical co-polar signal
snhv Receive: h Transmit v Vertical cross-polar signal

The pulse index is indicated by the superscript instead of the subscript. The first subscript indicates the received polarization and the second subscript indicates the transmit polarization.

If the transmit is the same as the received polarization, this is the co-polarized signal. If the transmit and receive are different, this is the cross-polarized signal.

These variables are complex and are the same as the sn notation. For example, we can write:

S h h n = I h h n + j Q h h n

to show the relationship to the received I and Q values. Either filtered and unfiltered versions of the samples can be selected for processing. We drop the s' notation for filtered samples.