STM32F4-DISCOVERY FFT Analyzer

I need firmware programmed for a STM32F4 Discovery board that reads the on-board microphone, performs FFT on those samples, converts magnitude to dbFS and then sends the data in freq, magnitude format over USB. Sample rate should be as high as possible 44.1Khz, 48Khz. The program should also turn on one of the GPIOs if a certain message is received via USB. Requirements: 1. GCC and Eclipse toolchain (no Keil/IAR) 2. STM32 Cube HAL and CMSIS 3. Source code must contain entire eclipse project folder and should build once copied on my machine 4. Performance is important so use DMA 5. Use Uart2 (PA2/PA3) for log messages Deliverables: 1. Milestone 1: (hex file) read microphone samples convert to PCM and send them to on board DAC. Basically hear in the headphone the sound coming into the mic. 2. Milestone 2: (hex file and source code) perform FFT and show the magnitude with some test signals like 1KHz, 10khz.