name: GCS
full_form: Generalized Cosine Similarity
context: A GCS with coordinates (x, y, z, , ) and unit vectors (, ) and an LCS with "primed" coordinates (x', y', z', , ) and "primed" unit vectors (, ) are defined with a common origins in Figures 7.1.3-1 and 7.1.3-2. Figure 7.1.3-1 illustrates the sequence of rotations that relate the GCS (gray) and the LCS (blue). Figure 7.1.3-2 shows the coordinate direction and unit vectors of the GCS (gray) and the LCS (blue). Note that the vector fields of the array antenna elements are defined in the LCS. In Figure 7.1.3-1 we consider an arbitrary 3D-rotation of the LCS with respect to the GCS given by the angles , , . The set of angles , , can also be termed as the orientation of the array antenna with respect to the GCS. Note that the transformation from a LCS to a GCS depends only on the angles , , . The angle is called the bearing angle, is called the downtilt angle and is called the slant angle. Let denote an antenna element pattern in the LCS and denote the same antenna element pattern in the GCS.
description: Generalized Cosine Similarity (GCS) is a mathematical concept used for coordinate transformations between different systems, particularly in 3D rotations and antenna array orientations. While not directly related to network functions, protocols, or services, it's relevant to telecommunications as it applies to antenna configurations and signal processing.
explanation: GCS is mentioned in the context of 3GPP TS 38.901, which deals with antenna element patterns and coordinate transformations within telecommunications standards.  Its application lies in antenna configuration and signal processing, making it relevant to telecommunications but not fitting neatly into categories like Network Function, Protocol, or Service.
section_title: 7.1.3Transformation from a LCS to a GCS
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