Google DNS does a great job speeding up my PlayStation consoles, see if it works for you.
Settings> Network Settings> Internet Connection Settings> Custom> Wireless> Enter Manually> Press right on the d-pad until you get to "DNS Setting" and then go to Manual > From there type in:
Primary DNS 8.8.8.8
Secondary DNS 8.8.4.4
I got faster PSN download speeds with this, hope it helps!
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