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This document discusses frequency modulation (FM) and its spectral analysis. It describes the narrowband approximation that allows FM signals to be analyzed using Fourier transforms. Under this approximation, the bandwidth of frequency-modulated and phase-modulated signals depends on the modulation index and modulation frequency. The document also examines tone modulation with narrowband and wideband signals, and discusses how FM bandwidth is estimated based on the modulation index and deviation ratio. Fina

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