Hello together, I have another question about ESP8266. I use nodemcu ESP12 and I would likte to ask at following. It is possible to wake up ESP from deep sleep via WiFi? I want to send sleep my ESP web server and start it only when client connects to webserver. I want it because my project will be power by battery and 80 mA is too much in calm state. Thank you for your ideas. I am using Arduino IDE for programming nodeMCU.
That’s the whole idea of the deep sleep. Cutting power to the most energy spending parts of the chip. That very much includes the WLAN controller. If there was a way to spend less energy and still keep WLAN active, believe me, Espressif would have made it the default mode if operation 
Least bad approach of working around this is often a periodic wake up by the RTC which keeps running. How that’s done can be found with a little googling.
Can’t sleep and still listen on radio. That’s why protocols like mqtt exist.