How can i connect smart phone like android to Arduino using wifi and the Arduino with projector represent the exact replica of what's going on your smart phone? It's like mirror screening
First you need to know the protocol this function uses.
Which hardware do you think to use, because working with graphics is very heavy, I think maybe FPGA.
What is the Miracast screen mirroring protocol?
Miracast is used by Microsoft Windows devices and some Android manufacturers, notably Samsung and LG. Miracast is developed by the Wi-Fi Alliance and is based on the Wi-Fi Direct standard. Miracast uses Wi-Fi beaconing to indicate the presence of a Miracast receiver. To initiate the connection, a Wi-Fi SSID starting with DIRECT- is set up so that Miracast senders can discover.
Miracast can support resolutions up to 4K 60 fps with capable sending devices and good network conditions. Average bitrates will depend on the content and resolution, but can be up to 35 Mbps for 4K video streams.
So it is video, and thus totally unrelated to Arduinox. 