Copolarization and cross-polarization signatures

`resp = polsignature(rcsmat)`

`resp = polsignature(rcsmat,type)`

`resp = polsignature(rcsmat,type,epsilon)`

`resp = polsignature(rcsmat,type,epsilon,tau)`

`polsignature(___)`

returns
the normalized radar cross-section copolarization (`resp`

= polsignature(`rcsmat`

)*co-pol*)
signature, `resp`

(in square meters), determined
from the scattering cross section matrix, `rcsmat`

of
an object. The signature is a function of the transmitting antenna
polarization, specified by the ellipticity angle and the tilt angle
of the polarization ellipse. In this syntax case, the ellipticity
angle takes the values `[-45:45]`

and the tilt angle
takes the values `[-90:90]`

. The output `resp`

is
a 181-by-91 matrix whose elements correspond to the signature at each
ellipticity angle-tilt angle pair.

,
in addition, specifies the polarization signature type as one of `resp`

= polsignature(`rcsmat`

,`type`

)`'c'|'x'`

,
where `'c'`

creates the copolarization signature
and `'x'`

creates the cross-polarization (*cross-pol*)
signature. The default value of this parameter is `'c'`

.
The output `resp`

is a 181-by-91 matrix whose elements
correspond to the signature at each ellipticity angle-tilt angle pair.
This syntax can use the input arguments in the previous syntax.

,
in addition, specifies the transmit antenna polarization's ellipticity
angle (in degrees) as a length-`resp`

= polsignature(`rcsmat`

,`type`

,`epsilon`

)*M* vector. The angle `epsilon`

must
lie between –45° and 45°. The argument `resp`

is
a 181-by-*M* matrix whose elements correspond to
the signature at each ellipticity angle-tilt angle pair. This syntax
can use any of the input arguments in the previous syntaxes.

,
in addition, specifies the tilt angle of the polarization ellipse
of the transmitted wave (in degrees) as a length-`resp`

= polsignature(`rcsmat`

,`type`

,`epsilon`

,`tau`

)*N* vector.
The angle `tau`

must be between –90°
and 90°. The signature, `resp`

, is represented
as a function of the transmitting antenna polarization. The transmitting
antenna polarization is characterized by the ellipticity angle, `epsilon`

,
and the tilt angle, `tau`

. The argument `resp`

is
a *N*-by-*M* matrix whose elements
correspond to the signature at each ellipticity angle-tilt angle pair.
This syntax can use any of the input arguments in the previous syntaxes.

`polsignature(___)`

plots a three
dimensional surface using any of the syntax forms specified above.

[1] Mott, H. *Antennas for Radar and Communications*.John
Wiley & Sons, 1992.

[2] Fawwaz, U. and C. Elachi. *Radar Polarimetry
for Geoscience Applications*. Artech House, 1990.

[3] Lee, J. and E. Pottier. *Polarimetric Radar
Imaging: From Basics to Applications*. CRC Press, 2009.