Discrete-Time Fourier Transform Properties with Proofs
| Property Name | Property | Proof |
|---|---|---|
| Periodicity | χ(ω + 2π) = χ(ω) | Example |
| Linearity | ax1[n] + bx2[n] → aχ1(ω) + bχ2(ω) | Example |
| Time Shifting & Frequency Shifting | 1) 2) || Example | |
| Conjugate & Conjugate Symmetry | Example | Example |
| Parversal Relation | Example | Example |
| Convolution | Example | Example |
| Multiplication | Example | Example |
| Duality | Example | Example |
| Differentiation in Frequency | Example | Example |
