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I'm convinced it's a Samsung issue.
And I understand why you think so. Thus far, no one can explain why your experience (and a few others) is so radically different from the majority with no issues.
Not to take away from your issue. But if it is a Samsung issue, I would think the issue would be 100%.

I wonder if it's carrier specific? I have an AT&T/i337 and have no issues connecting to any wifi anywhere, even after the update to 4.3. I see a wide range of routers from home to commercial units.
I don't doubt your issue at all. But am reluctant to label it a Samsung issue.
No issues here.
Here's a video of what my wife's phone is doing. I'm new to Android...we've both had A**** phones for the past few years. Talk about a change in operating systems...
So far I've updated the firmware in my router, I've reset the phone, I've changed settings based on what I've found online and nothing seems to be working.
In the video, the phone connects to my wifi at the start of the video and in 1 minute and 15 seconds, it connects three times. Each time it drops wifi, connects to 4G, and then connects back to wifi.
4.2.2
Netgear router (2.4/5ghz)
Motorola surfboard modem
https://www.youtube.com/watch?v=FLRwAv4zPUc
Sounds like that could possibly be where the phone thinks the wifi is weak and transfers to mobile data.
BigRedGonzo says, "try unchecking "Auto Network Switch."
Oh, it's definitely for real. I had an Amped Wireless router with that problem. What was happening was that the DHCP never released an ip addressI'll mention an oddball but potentially-effective thing to try if you experience problems related to wifi on any of your devices or computers- power cycle your wifi router (turn it off for 15 seconds and then turn it back on).
Here's how I discovered it. We seemed to have lost internet to all devices so I called the helpline of our ISP. They suggested to power cycle our router... I thought it was another silly waste of time but tried it and it worked to restore our internet. I'm now finding it cures a lot of other oddball intermittent things related to our connection.
Sounds like that could possibly be where the phone thinks the wifi is weak and transfers to mobile data.
BigRedGonzo says, "try unchecking "Auto Network Switch." That keeps my phone attached to the WiFi network at the office, even though the internet drops frequently. If I have "Auto Network Switch" checked, I get messages all day long telling me the WiFi has been turned off because of poor internet connectivity."
http://androidforums.com/samsung-galaxy-s4/821219-w-fi-problem-s4.html
Don't know if that will help or not, but may be worth a try.
Yep, that is what I posted in http://androidforums.com/samsung-galaxy-s4/715023-wi-fi-issue-4.html#post6382236. This has solved the issue for me.
Thanks for the affirmation. I've found several other places around where the S4 had some compat issues with certain routers. As I said, it works fine for me at the office, but at home, it repeatedly hangs and re-acquires a lease every once in a while.
I understand that other people have not had this issue, the point was to discover which routers they might have trouble with. This one is an older 802.11n/g/b D-Link RangeMax from several years ago.
I've also read online that the S4 supports the newer AC standard as well. I might get a new router that supports it...




