In this homework, you will be using one of the two 16-bit sampled (@44100Hz) mono audio records (music) that were provided for homework 3. a) Write a Python implementation of Radix-2 Decimation in Frequency (DIF) type Fast Fourier Transform. b) Run 256-point Radix 2 DIF-FFT code on one of the audio records at three different spots of the song (e.g. at 10th, 20th, and 30th second of the record). Apply this procedure before and after the application of Low Pass Filter (homework 3 b) with and without 5dB amplification. Visualize and compare the spectrograms (3x3x2 plots) using logarithmic scale for frequency and the amplitude axes. In this homework, you will be using one of the two 16-bit sampled (@44100Hz) mono audio records (music) that were provided for homework 3. a) Write a Python implementation of Radix-2 Decimation in Frequency (DIF) type Fast Fourier Transform. b) Run 256-point Radix 2 DIF-FFT code on one of the audio records at three different spots of the song (e.g. at 10th, 20th, and 30th second of the record). Apply this procedure before and after the application of Low Pass Filter (homework 3 b) with and without 5dB amplification. Visualize and compare the spectrograms (3x3x2 plots) using logarithmic scale for frequency and the amplitude axes