Packet Inspection
WireShark (O,W) - In my opinion, this is hands down the best network protocol analyzer. You can capture and interactively browse the traffic running on a computer network. You can view all PDU info (size, header info and contents, and even save captures for later analysis. It supports sorting, filtering, search. I have used this several times to track down the source of network problems and as a training tool in my network class. The website has some great how-to videos to help you learn how to use it, and there is even a portable version. *
Productivity Software
FreeOCR (W) - OCR Software. *
Remote Desktop
WLAN
Ekahau HeatMapper (W) - Wi-Fi Coverage Map Site Survey Tool *
inSIDDer (L,W) - Wi-Fi scanner, it tracks signal strength over time, identifies security settings, supports filtering and can be GPS aware. *
Network Info II (A) - All of your radio info in one place, it displays info about the phone and current data network, Bluetooth, IPv6 and Cell connection. *
WiFi Analyzer (A) - Basic Wi-Fi radio frequency analyzer. This is the first tool I use to look for networks and Wi-Fi problems. *
WiFiFoFum (A,I) - WiFi network scanner, displays information about SSID, MAC, RSSI, channel, security and is GPS aware. *, $2.99
More to come!
OS Reference
A - Android
I - iOS
L - Linux
O - OSX
W - Windows