Currently, for generating FFT using ACS712 current sensor, i use the following method:
the data from the sensor is sent to processing IDE via arduino. the processing generates text file which is then loaded into Matlab for generating FFT.
Is there a way for generating and plotting FFT on arduino itself?
Sure, have you got a screen for the Arduino?
It may be worth having a Mega as the extra RAM is valuable for a project like this (better FFT resolution with more bins). Of course its not the simplest project, you might have to do a few simple practice projects using a screen first.
A long time ago I did something similar on a 3.2" TFT: Arduino vector graphics library test - YouTube