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0. Fourier Transform Table
x(t) | X(ω) | ||
1 | e−atu(t),a>0 | 1a+jω | ref. |
2 | eatu(−t),a>0 | 1a−jω | |
3 | e−a|t|,a>0 | 2aa2+ω2 | |
4 | te−atu(t),a>0 | 1(a+jω)2 | |
5 | tne−atu(t),a>0 | n!(a+jω)n+1 | |
6 | δ(t) | 1 | ref. |
7 | 1 | 2πδ(ω) | ref. |
8 | ejω0t | 2πδ(ω−ω0) | ref. |
9 | sgn(t) | 2jω | ref. |
10 | u(t) | πδ(ω)+1jω | ref. |
11 | cosω0t | π[δ(ω+ω0)+δ(ω−ω0)] | ref. |
12 | sinω0t | jπ[δ(ω+ω0)−δ(ω−ω0)] | ref. |
13 | cosω0tu(t) | π2[δ(ω+ω0)+δ(ω−ω0)]+jωω20−ω2 | |
14 | sinω0tu(t) | π2j[δ(ω+ω0)−δ(ω−ω0)]+ω0ω20−ω2 | |
15 | e−atsinω0tu(t),a>0 | ω0(a+jω)2+ω20 | |
16 | e−atcosω0tu(t),a>0 | a+jω(a+jω)2+ω20 | |
17 | ∞∑n=−∞δ(t−nTs) | ω0∞∑n=−∞δ(ω−nω0),ω0=2πTs | ref. |
18 | rectτ(t), 너비가 τ인 rectangle pulse |
τsinc(ωτ2π) | ref. |
19 | W2πsinc(W2πt) | rectW(ω), 너비가 W인 rectangle pulse |
ref. |
20 | Δ(tτ) 기울기가 1τ인 삼각파 |
τsinc2(ωτ2π) | |
21 | e−t22σ2 | σ√πe−σ2ω22 |

1. 같이보면 좋은 자료들
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