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: Integration with Linear Time-Invariant (LTI) systems, communications theory, and boundary-value problems. Digital Access and Updates analisis de fourier hwei p hsu solucionario upd
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| Chapter | Title (English translation) | Covered Topics | | :--- | :--- | :--- | | | Fourier Series / Discrete Frequency Spectra | Representation of periodic signals, determination of Fourier coefficients, concepts of harmonics, discrete frequency spectra, development of amplitude and phase spectrums. | | 4 | Fourier Integral & Continuous Spectra | Transition from periodic to aperiodic signals, derivation of the Fourier integral, introduction to the Fourier Transform (FT), generation of continuous frequency spectra. | | 5 | Fourier Transform of Special Functions | Application of the FT to key signals: impulse (Dirac delta), step, pulse, and rectangular functions; building a library of essential transforms. | | 6 | Applications to Linear Systems | Analysis of Linear Time-Invariant (LTI) systems in the frequency domain; use of the transfer function ( H(j\omega) = Y(j\omega)/X(j\omega) ). | | 7 | Applications in Communication Theory | Key communication concepts: amplitude modulation (AM), bandwidth, signal filtering, and demodulation. | | 8 | Applications to Boundary Value Problems | Solving differential equations in electromagnetism, heat transfer, and wave propagation using Fourier methods. | | 9 | Miscellaneous Applications | Advanced topics: properties of the FT (e.g., symmetry, scaling), convolution theorem, and Parseval's theorem (energy in frequency domain). | | | 4 | Fourier Integral & Continuous
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