Analog amplitude, frequency and phase modulation and demodulation with spectrum analysis

How does the modulation index affect the bandwidth requirement differently in Amplitude Modulation (AM), Frequency Modulation (FM), and Phase Modulation (PM)?
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In Frequency Modulation (FM), how does the Carson's Rule help in determining the required bandwidth, and what are the implications of violating this rule?
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In Phase Modulation (PM), how does increasing the frequency of the modulating signal affect the phase of the carrier?
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In advanced Amplitude Modulation (AM) techniques, such as Single Sideband Suppressed Carrier (SSB-SC), what is the primary benefit, and what challenge does it introduce?
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In Phase Modulation (PM), if the modulating signal is a sinusoid of frequency f_m, what is the resulting spectrum of the PM signal?
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Using Carson's Rule for Frequency Modulation (FM), what is the approximate bandwidth of an FM signal with peak frequency deviation Δf and maximum modulating frequency f_m?
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In advanced Frequency Modulation (FM) systems, such as wideband FM (WBFM), what is the effect of increasing the peak deviation on the signal's bandwidth and signal-to-noise ratio (SNR)?
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In Phase Modulation (PM), what challenges are introduced by high data rate transmission, and how can these be addressed to maintain signal integrity?
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In wideband Frequency Modulation (WBFM), how does increasing the modulation index β = Δf / f_m affect the power distribution among sidebands, and what is the implication for receiver design?
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In wideband Phase Modulation (PM), if the amplitude of the modulating signal is doubled while keeping its frequency constant, what is the effect on the instantaneous phase deviation and the signal's bandwidth?
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