Draw a phasor diagram for an angle modulated signal for (SNR) T 1 illustrating the relationship between R(t), A c , and r n (t) Show on this phasor diagram the relationship between (t), (t) and n (t) Using the phasor diagram, justify that for (SNR) T 1, the approximation (t) (t) r n (t) A c sin n (t) (t) is valid Draw a second phasor diagram for the case in which (SNR) T 1 and show that (t) n (t) A c r n (t) sin n (t) (t) What do you conclude

Question: Draw a phasor diagram for an angle-modulated signal for (SNR) T >> 1 illustrating the relationship between R(t), A c , and r n (t).

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

ψ(t) ≈ ϕ(t) + r_n(t) / A_c sin[ϕ_n(t) - ϕ(t)]

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

ψ(t) ≈ ϕ_n(t) + A_c / r_n(t) sin[ϕ_n(t) - ϕ(t)]

What do you conclude?

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