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TM4C123GE6PM: How to measure SNR with ADC

Part Number: TM4C123GE6PM


I have an input filter that connects to an ADC in the MCU mentioned here.  I want to characterize my systems overall noise or SNR.  I'm wondering if my approach is correct.

To measure SNR on my system to characterize my overall system do I input a sine wave into my circuit with maximum dynamic range (my range is 0-3.3V) and sample the data.  Once I have the data run the data through an FFT?  I basically am looking to characterize my overall circuit rather than just the input amps or just the ADC separately.  

With this approach my signal chain looks like the following:

(Signal Generator) -> (input filter) -> (ADC) = digital data for FFT

Could someone shed some light on my approach and what I might be missing?