Compute the amount of Doppler filter straddle loss for the filter defined by [ H(f)=frac{1}{1+a^{2} f^{2}} ]

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Compute the amount of Doppler filter straddle loss for the filter defined by
\[
H(f)=\frac{1}{1+a^{2} f^{2}}
\]

Assume half-power frequency \(f_{3 d B}=500 \mathrm{~Hz}\) and cross-over frequency \(f_{c}=350 \mathrm{~Hz}\).

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