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| Deletions are marked like this. | Additions are marked like this. |
| Line 11: | Line 11: |
| $ \delta x = D * ( \sin( k z ) + \cos( k y ) ) $ \ $ \delta y = D * ( \sin( k x ) + \cos( k z ) ) $ |
$ \Delta x = D * ( \sin( k z ) + \cos( k y ) ) $ |
| Line 15: | Line 13: |
| $ \delta z = D * ( \sin( k y ) + \cos( k x ) ) $ | $ \Delta y = D * ( \sin( k x ) + \cos( k z ) ) $ $ \Delta z = D * ( \sin( k y ) + \cos( k x ) ) $ |
Array Phasing
When we randomly dither the position of the emitters in a 3 dimensional phased array, it smears out the grating lobes. I am looking for a better function.
A smear function to try:
D = \lambda/2 k = 2 \pi / N * L
\Delta x = D * ( \sin( k z ) + \cos( k y ) )
\Delta y = D * ( \sin( k x ) + \cos( k z ) )
\Delta z = D * ( \sin( k y ) + \cos( k x ) )
... or some variation of that. This assumes the spacing L >> \lambda , a sparse array, so that the antennas do not couple (much). We can scale D and k, and also modify amplitudes across the array like a Hamming window, and see how that changes the sidelobes.
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