Please show all workings You have been supplied with a DSP chip capable of carrying out one real MAC

Please show all workings

You have been supplied with a DSP chip capable of carrying out one real MAC every 22 ns and you are required to use it to implement an FFT-based spectrum analyser capable of a 0.7 Hz resolution over the range from 480Hz to 9250 Hz. Answer the following giving four decimal places in your answers. PART 1 Assuming the input audio is sampled at 37000 Hz and the spectrum analyser is using a Hamming window whose -6dB width is 1.81 bins, calculate the following: The length in samples of the data segment needed to achieve this resolution: samples. The minimum size of the FFT this requires: PART 2 Determine the resultant sample spacing along the frequency axis and from this the number of frequency sample points to be used to cover the full frequency range. Sample spacing along frequency axis: Number of frequency sample points to cover entire range: PART 3 Calculate the number of real MACS required in each stage of the analyser (other than digitisation and display) to include windowing and the FFT operations only. Total number of MACS: Hint: FFT requires N log2 N MACS per channel. PART 4 Calculate the frequency at which the windowing and FFT can be calculated in real time assuming no other delays: H2

 

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