FFT using Arduino UNO

Hello everyone I have not used Arduino much before.Need some help !!

I want to build a specific frequency detection system. generally capture a sound from a microphone, then do ADC, FFT analysis of the signal, then if it detects a frequency of 2.2 KHz i need to output a sound or light up an LED.

So what I want to know is if its possible to achieve the DSP processing using ATmega328p chip in arduino UNO? any similar projects anyone have done?

thanks

An FFT may be overkill.
Google "Goertzel's algorithm"

what I want to know is if its possible to achieve the DSP processing using ATmega328p chip in arduino UNO?

Yes. Search for Arduino FFT.