Eq only cycle log

A complex discrete-time signal x [ n ] {\displaystyle x[n]} is a real signal ( if x [ n ] ∈ R ∀ n ∈ N {\displaystyle x[n]\in \mathbb {R} \quad \forall n\in \mathbb {N} } ) if and only if its DTFT X 2 π ( ω ) {\displaystyle X_{2\pi }(\omega )} is conjugate symmetric.

I have a D8 flooded lead acid battery 1400CCA and 255Ah capacity. it is 6 years old on a boat with a 3 stage 12 amp charger which is on all the time when the boat is not in use.
battery is now very low in specific Gravity 1175 less than 40% capacity. it’s voltage 3 days after a full charge is .  this is far too high and we suspected sulfation to possibly be the cause of the higher voltage.(we read this somewhere)
we then overcharged it at 16 volts and it only drew 3 amps . After about 17 hours the SG had gone up to above 1200 about a 50% charge. a remarkable improvement.
my question to you all is why is the battery voltage still high on open circuit and why is there only 3 amps of charge at 16volts. should we continue to overcharge it ?

Eq only cycle log

eq only cycle log


eq only cycle logeq only cycle logeq only cycle logeq only cycle logeq only cycle log