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if you search on the Internet for Goertzel algorithm and DTMF tone detection you can find useful information about one (but maybe the most used in the world) application of these type of spectrum analisys techniques.
You can even find freely downloadable application notes with annexed code implementation for DSP in the manifacturer website of Analog Devices, Texas Instruments, Freescale, The Mathworks and so on.
do you know how does this chip do the digital detection algorithm? In the datasheet, it said it use some sort of digital counting technique. Do you have any idea of what that is? If so, please help. Thank you