We are given an M=32 pulse sequence of slow time data, collected with PRF = 10 kHz. We want to use a Cooley-Tukey radix 2 FFT algorithms to compute the Doppler spectrum of the data. If the Doppler frequency samples are to have a spacing of 100 Hz or less, what is the minimum FFT size K that we should use? What is the resulting spacing of the Doppler frequency samples in Hz?