1.N Transformada de Fourier: Tabla - JulTob/Communication GitHub Wiki

Transformada de Fourier

x(t) = (1/2𝜋) ∫_<∞> X(ƒ) e (-j 2𝜋 ƒ t) dƒ

F{x(t)} = X(ƒ)= ∫_<∞> x(t) e(-j 2𝜋 ƒ t) dt

x(t)*y(t)

X(ƒ)·Y(ƒ)

x(t-t₀)

X(ƒ)· e(- j 2𝜋 ƒ t₀)

x(t)·e(- j 2𝜋 ƒ₀ t)

X(ƒ-ƒ₀)

x(a·t)

X(ƒ/a) /|a|

𝝥(t)

sinc(ƒ)= sin(𝜋ƒ) /(𝜋ƒ)

𝝥(t/T)

T·sinc(T·ƒ)

ᐱ(t)

sinc²(ƒ)

ᐱ(t/T)

T sinc²(T·ƒ)

cos( 2𝜋 ƒ₀ t)

[ δ(ƒ-ƒ₀) + δ(ƒ+ƒ₀) ] / 2

sin( 2𝜋 ƒ₀ t)

[ δ(ƒ-ƒ₀)- δ(ƒ+ƒ₀) ] / 2j

sign(t)

1/jπƒ

u(t)

1/j2πƒ +π·δ(2πƒ)

δ(t)

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