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Leer Challenge: Signal Frequency Identification | Signal Processing for Electrical Engineers
Python for Electrical Engineers
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bookChallenge: Signal Frequency Identification

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In your previous studies, you learned how to create signals in Python and analyze their frequency content using the Fast Fourier Transform (FFT). This is a fundamental skill for electrical engineers, as it enables you to identify the frequency components present in real-world signals. When you generate a signal by summing two sine waves of different frequencies, their combined waveform contains both frequency components. By applying the FFT, you can decompose this signal and determine which frequencies are most prominent.

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Implement a Python script that generates a signal composed of two sine waves at 50 Hz and 120 Hz, sampled at 1000 Hz for 1 second. Compute its FFT and identify the two dominant frequencies present in the signal.

  • Find the indices of the two largest values in the magnitudes array.
  • Use these indices to extract the corresponding frequencies from the pos_freqs array.
  • Sort these two frequencies in ascending order.
  • Assign the formatted string to the result variable as shown.
  • The frequencies must be presented with one decimal place.

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