JJ wrote:

Voyager 1 is just over 90 Astronomical Units or 8.4 billion miles from
the sun, transmitting with approximately 2 watts and signals are still
being received here on earth. How do you account for that?

Inspired design, careful implementation, meticulous attention to
nit-picky details, enormous antennas, cryogenic cooling of the
receiver front ends, and 65535-bit-long GOLD codes sent straight-up
for "1" and inverted for "0".

It's amazing what can be pulled out from under the noise floor when
only (50% of the sequence)+1 bits need to be received correctly to
achieve unambigous decoding.

--
Should array indices start at 0 or 1? My compromise of 0.5 was rejected
without, I thought, proper consideration.

(Stan Kelly-Bootle)