Neighbor keeps inserting his wireless router into my network infrastructure?

Ahhhh, NO. I can see like 8 available networks. None of them are listed as part of my "network infrastructure" in the network and sharing center active networks (as this one is). Also none of them are stealing my bandwidth, or turning off PW protection ect. I have specifically blocked the MAC addy of the device, removed and re installed the network, homegroup, changed all PWs, completely did a hard reset of the wireless, ect and within hours the device is back, and my bandwidth drops from  11-15mbps to 3-5mbps. 

Thanks for answering, but I am not an idiot. Unplugging the modem for 5 min won't fix it either. (just to make sure I've covered the other obvious answer too.)

If you know a better answer, please share. I am sure this is somehow related to the wireless router, but changing settings on that have not fixed the issue for long. I was wondering if there was a way to prevent access through the windows firewall.

Actually I tried the netsh wlan show all suggestion from Gordon's post and discovered something.  The MAC address on the rogue 'Belkin Wireless Router' matched the one from one of the SSID's in the neighborhood network named Belkin_N+_D67D40.  I am still trying to determine if there are any processes associated with the rogue router but now think that this would indicate that the rogue router is not part of my network but just parallel to it.  What i cannot get my head around is why Windows is allowing it to come up in the network infrastructure for my network if it is a parallel network in my neighborhood and why i get connection drops.  Maybe my wireless card on the laptop needs to be reconfigured.

I do get dropped from my network so something is hogging my bandwight that is how I discovered that there is something else connected/in my network.  I am still trying to figure out if it is communicating to something and therefore it drops the network.  My laptop is only configured to connect to my router but if this is hijacking my network connection that probably is the reason why i get dropped network connections.

Thanks I will try turning of broadcasting as well. I have changed the name/PW several times, and that works for hours and sometimes days; but then the device(s) is/are back. I went a bought a new router yesterday, as mine was nearly 6 years old. I set it up OK, and everything looked good. The network map looked as follows: my computer===my router-----Internet.

Then I went to the device webpage to turn off remote access to the router and check the other settings. After I hit save settings on the 3rd or so item the program asked for the username/pw again which I put in & then the continue button/screen came up like normal; when I hit OK suddenly my screen turned red and said that the security cert was false(it came from another source than was claimed) and that I should not continue. I closed the page, and then lost connectivity for a few minutes. When I reconnected to the web the network map looked like this:                         My computer===Unknown

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Switch

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belkin-n-wireless

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My router===Internet

So I deleted the network profile from my computer and reset the router. New name, new PW. Once again just me and the router on the map. This morning  the map says :

My computer===My router's name(with a pic that doesn't look like it)

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Switch(with a pic of a hub looking thing)

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My router's name(with a pic that looks exactly like it)====Internet

Also when I click the house icon to go the the Network> page it says the following:

Computer(1)

Mine

Network Infrastructure(2)

Belkin N Wireless Router   My router's name

Interestingly when I hover or click on my router I can see the mac ID,  IP addy, ect. When I hover on these other things I can see nothing and cannot click on them. I used to be able to see the properties of the Belkin N when I clicked on it, I have written down it's mac ID and unique ID, but it's IP addy has always been hidden. Now I cannot see any of this info. Either it is not clickable at all, or when you open properties it says unavailable or some such in all categories.

I have not spoken to my neighbor, because I have no idea which one it is. I figure that it has to be someone within 8 or so houses of me, but I live on a circle, so short of wandering down the street with my laptop, not sure of how I would tell. Besides what would I say? Stop stealing my bandwidth? Hey jerk I'm sick of messing with this? ;-)

If you could tell me what's going on, and/or how to stop it I'd be in your debt. At this point if you were to tell me that I'm silly and that it's normal for windows to display a random number of devices of random make and model as part of your network infrastructure, I'd just be relieved to not have to mess with it anymore. As it is though, I'm a bit worried and a lot ticked off about it.