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The Fourier Transform, Its Inverse & Properties
Inside this lesson
- Explain how the Fourier transform emerges from the Fourier series in the limit T₀ → ∞
- State and interpret the forward Fourier transform X(jω) and the inverse Fourier transform x(t)
- Apply the DC-value property X(j0) = ∫x(t)dt to find the transform of a rectangular pulse at ω = 0
- Recognize linearity as a fundamental property shared between the Fourier series and the Fourier transform
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Educational content covering topics typical of a first- and second-year electrical engineering curriculum. Not a substitute for accredited coursework, and not suitable for real antenna, transmission-line, or signal-processing system design without review by a licensed professional engineer.