Home › GATE ECE › Electronics & Communication › GATE ECE — Core › Fourier transform of a delta function δ(t):
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.
Related questions
For n-bit ADC with full-scale V_FS, resolution (LSB) is:Cutoff frequency of RC low-pass filter:Wave equation in vacuum (Maxwell):VSWR (Voltage Standing Wave Ratio) for matched load (R_L = Z_0):Characteristic impedance of a lossless transmission line:Shannon channel capacity:FM (frequency modulation) varies:In AM (amplitude modulation), modulating signal varies: