Properties of Fourier Series

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Across
  1. 2. Theorem Relates signal energy to Fourier coefficients (8).
  2. 5. Superposition principle applies to Fourier coefficients(9).
  3. 8. Condition for series to approximate the signal (11).
  4. 10. Product in time corresponds to convolution in frequency (13).
  5. 11. Derivative in time corresponds to scaling in frequency (14).
  6. 12. Overshoot near discontinuities in Fourier approximation (5).
  7. 13. Basis functions are mutually independent (13).
  8. 15. Shifting Modulation shifts spectrum location (17)
Down
  1. 1. Convolution in time corresponds to multiplication in frequency (11).
  2. 3. Reversal Reversing signal flips frequency signs (8).
  3. 4. Even/odd properties simplify coefficient calculation (8).
  4. 6. Shifting Shifting signal in time changes phase of coefficients (8).
  5. 7. Integral in time corresponds to division in frequency (11).
  6. 9. Scaling Compressing/expanding signal alters frequency spread (7).
  7. 14. Property that repeats coefficients every fundamental frequency(11).