Works great with the Samsung Galaxy S3 - Perfect for fashion "Mirror"

After some trial and error, here's "my" good procedure to have this 100% operational functionality.
(Tested on Samsung GT-19300 & Android 4.1.2)

TUTO:

1 - Download / install the app "EZCast / EZCast2" from google play store.

2 - Install the app Samsung "AllShare Play" from the Samsung store (normally this facility is available in native S3 from "Apps", no need to register on the cloud or else, just the basic install) . (I do not know if this step is essential, but that's what I did).

3 - Connect the HDMI + USB dongle (for power supply) on your TV. (If no USB port on the TV, plug into a USB charger).

4 - Switch on the TV on the "chain" HDMI dongle, the EZCast welcome screen appears.

5 - Go to S3 of the parameter, then "Wi-Fi" normally we have the list of available networks, including the one that interests us "EZCastmsy-4CxxxxxE" (for home). Click it, then click "Login".

6 - After confirmation of the connection, return to the page where there is the app "EZCast" and start there. There the device again "EZCastmsy-4CxxxxxE" available, click it. Hopefully, you have a few moments after the EZCast menu S3.

7 - Click on "Settings" (bottom right icon shaped gear).
Still if all goes well, a menu with options appears on the TV.
Move using the left / right arrows (the smartphone screen) to the menu "mode Default", and replace (with up / down arrow) "EZCast" with "EZMirror" to confirm yes' Set boot default to EZMirror ".

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Until now, it was standard procedure recommended by EZCast.
From now on, this is the trick to a function "mirror" for the S3 reliable.
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8 - Let us leave and leave for EZCast "Parameter / WI-FI" S3 and disconnect "EZCastmsy-4CxxxxxE" and reconnect your standard wireless network.

9 - "Reboot" TV & HDMI dongle which will now start on a new home screen "EZMirror".

10 - quickly (we only have to connect 120s), back a page back in S3 settings, and click "More Settings". Scroll and click "AllShare Cast" (for Android 4.1, if not for newer versions, it seems that it is something like "Mirror function"). The connection is made in moments.

AND VOILA, one is mirrored operation! No need to use the functionality of EZCast which are sometimes a little "capricious". You can directly browse the Web, view pictures, video, listen to mp3 with "players" installed on the smartphone, view live camera or camera and play on the big screen, for example "Asphalt8" while driving with tilting the smartphone while controlling firsthand on the TV, without jerks at home, WiFi principle of this type of "HDMI key" is the "direct WIFI" (about the same as that we formerly called the mode "ad hoc"), (thus directly between the smartphone and dongle, bypassing the router or the box). Excellent!

For the price, very very good deal, I recommend!

Enjoy!