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Use small-error PLL analysis to show that a first-order loop [H (s) = 1] cannottrack an incoming signal whose instantaneous frequency is varying linearly

   

Use small-error PLL analysis to show that a first-order loop [H (s) = 1] cannottrack an incoming signal whose instantaneous frequency is varying linearly with time (6; (1) = kr]. This signal can be tracked within a constant phase if H(s) = (s+ a)/s. It can be tracked with a zero phase error if H (s) = (s? + as + b)/s?.

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