Draw a phasor diagram for an angle-modulated signal for (SNR) T >> 1 illustrating the relationship between

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Draw a phasor diagram for an angle-modulated signal for (SNR)T >> 1 illustrating the relationship between R(t), Ac, and rn(t). Show on this phasor diagram the relationship between ψ(t), ϕ(t) and ϕn(t). Using the phasor diagram, justify that for (SNR)T >> 1, the approximation

ψ(t) ≈ ϕ(t) + rn(t) / Ac sin[ϕn(t) - ϕ(t)]

is valid. Draw a second phasor diagram for the case in which (SNR)T << 1 and show that

ψ(t) ≈ ϕn(t) + Ac / rn(t) sin[ϕn(t) - ϕ(t)]

What do you conclude?

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