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Spectral Analysis of Sinusoidal Signals G(ei)is a periodic function of o with a period 2n containing two impulses in each period In the range-r≤ω≤r,there is an impulse at ω=ωo of complex amplitude元eiφand an impulse atω=-ωo of complex amplitudeπe-iφ To analyze g[n using DFT,we employ a finite- length version of the sequence given by y[n]=cos(oon+p),0≤n≤W-1Spectral Analysis of Sinusoidal Signals • G(ejω) is a periodic function of ω with a period 2π containing two impulses in each period • In the range -π≤ω≤π , there is an impulse at ω=ω0 of complex amplitude πejφ and an impulse at ω=-ω0 of complex amplitude πe-jφ • To analyze g[n] using DFT, we employ a finite￾length version of the sequence given by γ [n] = cos(ωon +φ), 0 ≤ n ≤ N −1
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