Question: 1. Given an input data length of 4096 values, compare the approximate number of complex mathematical operations needed to evaluate a DFT versus a radix-2 FFT.
2. If you are using a radix-2 FFT and a sample frequency of Fs = 48 kHz, what is the minimum input data length needed to achieve a frequency resolution of approximately 50 Hz? Assume no smoothing window is being used on the data, and that the data length must be a power of two.