Transceiver and System Design for Digital Communications, Second Edition

Appendix B

True North Calculations

The formula to be used for correcting for true north is


where

bearing_true (n)

= the target bearing from the ship with respect to true north.

ships_heading

= the ship's heading as measured by the ship's Inertial Navigation System or a magnetic compass.

Relative_bearing (n)

= the current target bearing relative to ship's longitudinal axis starting at the bow for zero degrees relative and rotating clockwise.

The formula to be used for correcting from true north to magnetic north is


where

bearing_mag(n)

= the target bearing from the ship with respect to magnetic north.

bearing_true(n)

= the target bearing from the ship with respect to true north.

magnetic_variation

= the variation between magnetic north and true north. Magnetic variation may be plus or minus.

Phase Ambiguities

For an interferometer to have no phase ambiguities, the spacing between the antennas should be less than ?/(2 ?) wavelength apart. This provides a phase gain of less than 1. Note that a phase gain of exactly 1 gives a one-to-one conversion from azimuth angle to electrical angle. Therefore, there are no phase ambiguities. If the separation is greater than 1 wavelength, giving a greater than 1 phase gain, then ambiguities exist. For example, if the separation is 2 ?, then half the circle covers 360 degrees and then repeats for the second half of the circle. Therefore, a phase measurement of 40 degrees could be two spacial positions.

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