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Spectral Analysis of Sinusoidal Signals In practice,the infinite-length sequence g[n]is first windowed by multiplying it with a length-N window wIn to convert it into a length-N sequence y n] DTFT T(ei)of y[n]then is assumed to provide a reasonable estimate of G(ei) T(ei)is evaluated at a set of R(R>N) discrete angular frequencies equally spaced in the range 0<o<2n by computing the R-point FFT I(k)of y[n]Spectral Analysis of Sinusoidal Signals • In practice, the infinite-length sequence g[n] is first windowed by multiplying it with a length-N window w[n] to convert it into a length-N sequence γ[n] • DTFT Γ(ejω) of γ[n] then is assumed to provide a reasonable estimate of G(ejω) • Γ(ejω) is evaluated at a set of R ( R≥N) discrete angular frequencies equally spaced in the range 0≤ω≤2π by computing the R-point FFT Γ(k) of γ[n]
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