EE5410 Signal Processing Fourier Transform properties

EE5410 Signal Processing Fourier Transform properties

1. Linearity
2. Time shifting
3. Frequency shifting
4. Conjugation
5. Time reversal
6. Time and frequency scaling
7. Convolution
8. Multiplication
9. Differentiation in time
10. Integration
11. Differentiation in frequency
12. Conjugate symmetry for Real signals
13. Symmetry for Real and EVEN signals
14. Symmetry for Real and Odd signals
15. Even-Odd decomposition for real signals
16. Parseval's Relation for Aperiodic signals