In this problem we wish to develop a base band (low pass equivalent model) for a Costas

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In this problem we wish to develop a base band (low pass equivalent model) for a Costas PLL. We assume that the loop input is the complex envelope signal 

x̃(t) = Ac m(t) ejϕ(t)

and that the VCO output is ejϕ(t). Derive and sketch the model giving the signals at each point in the model.

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