TABLE OF CONTENTS 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.
The AMS coordinate axes form a right-handed set nominally orientated coincident and synonymous with the range fixed system (RFS) axes. Thus, looking in the + Z AMS direction, they are orientated as follows: + X AMS axis is horizontal and increases towards the left, + Y AMS axis is vertical and increases upwards. This system is used for plotting the far-field patterns.
The AES coordinate axes form a right-handed set nominally orientated coincident and synonymous with the AMS axes as follows: + X AES parallel to + X AMS, + Y AES parallel to + 1ams, + Z AMS parallel to + Z APS. Thus, looking in the + Z AES direction, the nominal orientation is: + X AES axis: horizontally orientated and increases towards the left, + Y AES axis is vertical and increases upwards and + Z
