It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t). It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m1 (t) and m2 (t) represent two message signals and let u1(t) and u2(t) represent the corresponding modulated versions. a) Show that when the combined message signal m1(t) + m2(t) DSB modulates a carrier Ac cos 2πfct, the result is the sum of the two DSB amplitude-modulated signals u1(t) + u2(t). b) Show that if m1(t) + m2(t) frequency modulates a carrier, the modulated signal is not equal to u1(t) + u2(t)

It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m₁ (t) and m₂ (t) represent two message signals and let u₁(t) and u₂(t) represent the corresponding modulated versions.

1. a) Show that when the combined message signal m₁(t) + m₂(t) DSB modulates a carrier A_c cos 2πf_ct, the result is the sum of the two DSB amplitude-modulated signals u₁(t) + u₂(t).

b) Show that if m₁(t) + m₂(t) frequency modulates a carrier, the modulated signal is not equal to u₁(t) + u₂(t).

It is easy to demonstrate that amplitude modulation satisfies the superposition principle, whereas angle modulation does not. To be specific, let m₁ (t) and m₂ (t) represent two message signals and let u₁(t) and u₂(t) represent the corresponding modulated versions.

1. a) Show that when the combined message signal m₁(t) + m₂(t) DSB modulates a carrier A_c cos 2πf_ct, the result is the sum of the two DSB amplitude-modulated signals u₁(t) + u₂(t).

b) Show that if m₁(t) + m₂(t) frequency modulates a carrier, the modulated signal is not equal to u₁(t) + u₂(t).