2. Principles of Frequency Domain Analysis

Try these first

1. 1.

   What does the Fourier Transform do?

   Hint

   Think about how music can be analyzed by separating notes.

2. 2.

   Define 'Spectrum' in signal analysis.

   Hint

   How is energy related to frequency?

3. 3.

   What does the Fourier Transform accomplish?

   • Converts signals to time-domain
   • Analyzes frequencies
   • Eliminates noise

   Hint

   Which transformation relates to analyzing frequencies?

4. 4.

   True or False: Noise reduction can be achieved through frequency analysis.

   • True
   • False

   Hint

   Think about why we analyze frequencies.

5. 5.

   Analyze a time-series data set to find resonant frequencies relevant to structural damage. What method would you use?

   Hint

   Refer to Peak Detection methods.

6. 6.

   A sensor collects data at a frequency of 1000 Hz for 10 seconds. What is the frequency resolution achievable?

   Hint

   Think about total data points collected in the time frame.