Page 402 - Fundamentals of Radar Signal Processing
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Applying Eq. (5.112) to Eq. (5.111) gives the simplified spectral width
estimator
(5.113)
The basic PPP measurements of signal power, frequency, and spectral
width can also be performed in the frequency domain. The power is obtained by
applying Parseval’s theorem to Eq. (5.103)
(5.114)
A practical calculation uses the DFT version of Parseval’s theorem with the
DFT Y [k] of y[m]
(5.115)
There are two frequency-based methods for estimating the mean frequency
of the signal. The first is a direct analog to Eq. (5.105)
(5.116)
jω
The integrand in Eq. (5.116) is real except for the e term. Noting that for a
complex number z, arg{z} = atan{Im(z)/Re(z)}, Eq. (5.116) gives the estimator
(5.117)
In practice, the DFT version is used:
