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Fourier transform of a delta function δ(t):

A0
B∞
C1 (constant — delta has flat spectrum)
DRandom
Answer & Solution
Correct answer: C. 1 (constant — delta has flat spectrum)
δ(t) has Fourier transform 1 — all frequencies equally represented. **Inverse:** F.T. of 1 = δ(ω). **Important pairs:** impulse ↔ constant. Step ↔ 1/(jω) + π δ(ω). Sin(ω_0 t) ↔ impulses at ±ω_0.
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