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Appendix C: An overview of coordinate systems

Appendix C: An overview of coordinate systems

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Within this text reference is made to a great many coordinate systems and the transformations between them. Implicit within this is the assumption that the tabulating grids are plaid, monotonic and equally spaced. Whilst not necessary from a theoretical stand point these conditions greatly simplify the recording process for a robotic positioner as well as simplifying the tasks of numerical integration, differentiation and interpolation. The following section presents a concise description of the most important coordinate systems and then goes on to discuss methods for representing the relationships between them like antenna mechanical system (AMS), antenna electrical system (AES), far-field plotting systems, direction cosine, azimuth over elevation, elevation over azimuth, elevation over azimuth, polar spherical, azimuth and elevation (true-view), range of spherical angles, transformation between coordinate systems, coordinate systems and elemental solid angles, relationship between coordinate systems, azimuth, elevation and roll angles, euler angles, quaternion, elemental solid angle for a true-view coordinate system.

Inspec keywords: differentiation; interpolation; antenna theory; integration

Other keywords: spherical angle range; roll angle; euler angle; elevation over azimuth grid; antenna mechanical system; numerical integration; coordinate system; elemental solid angle; interpolation; polar spherical; antenna electrical system; far-field plotting system; differentiation; azimuth over elevation grid; tabulating grid; quaternion; robotic positioner; direction cosine

Subjects: Antenna theory

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Appendix C: An overview of coordinate systems, Page 1 of 2

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