utils: calc sync words
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#!/usr/bin/env python
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short = tuple([(52**.5/24**.5) * x for x in [0, 0, 0, 0, 0, 0, 0, 0, 1+1j, 0, 0, 0, -1-1j, 0, 0, 0, 1+1j, 0, 0, 0, -1-1j, 0, 0, 0, -1-1j, 0, 0, 0, 1+1j, 0, 0, 0, 0, 0, 0, 0, -1-1j, 0, 0, 0, -1-1j, 0, 0, 0, 1+1j, 0, 0, 0, 1+1j, 0, 0, 0, 1+1j, 0, 0, 0, 1+1j, 0, 0, 0, 0, 0, 0, 0]])
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long_norm = tuple([0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 0, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0])
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mul = tuple([1, -1j, -1, 1j] * 16)
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long_rot = tuple([x * y for x, y in zip(long_norm, mul)])
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sync = tuple([short, short, long_rot, long_norm])
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assert(len(short) == 64)
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assert(len(long_norm) == 64)
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assert(len(long_rot) == 64)
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assert(len(sync) == 4)
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print "power short: " + str(sum([abs(x)**2 for x in short]))
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print "power long: " + str(sum([abs(x)**2 for x in long_norm]))
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print "sync sequence"
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print sync
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print "len sync: " + str(len(sync))
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