{"id":105,"date":"2025-09-20T01:58:47","date_gmt":"2025-09-20T01:58:47","guid":{"rendered":"https:\/\/itisallmath.com\/signals-and-systems-i\/"},"modified":"2025-12-31T15:06:30","modified_gmt":"2025-12-31T15:06:30","slug":"signals-and-systems-i","status":"publish","type":"page","link":"https:\/\/itisallmath.com\/es\/electronics\/signals-and-systems-i\/","title":{"rendered":"Signals and Systems I"},"content":{"rendered":"
<\/div><\/div>\n\n\n\n
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What are you going to learn?<\/h1><\/div>\n\n\n\n

Classify continuous-time systems as linear or non-linear, time-invariant or time-varying, and stable or unstable, energy signals or power signals, and periodic or non- periodic, and find the period of a periodic signal. Signal shifting, scaling and reflecting, odd and even component of a signal. Solving OED functions in time domain. Obtain Fourier Series in trigonometric form, compact trigonometric form and exponential form. Conduct Fourier Transform, able to apply Fourier Transform property. Conduct Laplace Transform, Properties of Laplace transform, ROC. Plot frequency spectrum, phase and amplitude. Use MATLAB to perform simple signal processing tasks for continuous-time signals and systems.<\/p>\n\n\n\n

Content<\/h2><\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n
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Chapter 1. Introduction<\/h3><\/div>\n\n\n\n
    \n
  • Continuous and discrete time signals<\/li>\n\n\n\n
  • Signal Manipulation<\/li>\n\n\n\n
  • Basic Signal Properties<\/li>\n<\/ul>\n<\/div>\n\n\n\n
    <\/div>\n<\/div><\/div>\n\n\n\n
    \n
    \n

    Chapter 2. Time-Domain Analysis of Continuous Time Systems<\/h3><\/div>\n\n\n\n
      \n
    • Discrete time convolution<\/li>\n\n\n\n
    • Continuous time convolution<\/li>\n\n\n\n
    • Relationship of generic system properties to the impulse response for an LTI system<\/li>\n\n\n\n
    • Use of differential and difference equations as models for LTI systems<\/li>\n<\/ul>\n<\/div>\n\n\n\n
      <\/div>\n<\/div><\/div>\n\n\n\n
      \n
      \n

      Chapter 3. Continuous -Time Signal Analysis: Fourier Series<\/h3><\/div>\n\n\n\n
        \n
      • Definition and derivation of the CTFT<\/li>\n\n\n\n
      • Fourier transform representation of periodic signals using the CTFT<\/li>\n\n\n\n
      • Properties of the CTFT<\/li>\n\n\n\n
      • Convolution-multiplication duality and the CTFT<\/li>\n<\/ul>\n<\/div>\n\n\n\n
        <\/div>\n<\/div><\/div>\n\n\n\n
        \n
        \n

        Chapter 4. Continuous -Time Signal Analysis: Fourier Transform<\/h3><\/div>\n\n\n\n
          \n
        • Aperiodic Signal Representation by the courier Integral<\/li>\n\n\n\n
        • Transform of some useful Functions<\/li>\n\n\n\n
        • Properties of Fourier Transform<\/li>\n\n\n\n
        • Signal Transmission through LTIC Systems<\/li>\n\n\n\n
        • Applications to Communication Systems<\/li>\n\n\n\n
        • Data Truncation: Window Functions<\/li>\n\n\n\n
        • MATLAB Fourier Tranform<\/li>\n<\/ul>\n<\/div>\n\n\n\n
          <\/div>\n<\/div><\/div>\n\n\n\n
          \n
          \n

          Chapter 5. Continuous -Time Signal Analysis: Laplace Transform<\/h3><\/div>\n\n\n\n
            \n
          • Definition and relationship of Laplace transform to CTFT<\/li>\n\n\n\n
          • Region of convergence<\/li>\n\n\n\n
          • Inverse Laplace transform via partial fraction expansion method<\/li>\n\n\n\n
          • Geometry evaluation of the CTFT via the pole zero plot.<\/li>\n\n\n\n
          • Properties of the Laplace transform<\/li>\n\n\n\n
          • Relationship of causality and stability to structure in the Laplace s plane<\/li>\n<\/ul>\n<\/div>\n\n\n\n
            <\/div>\n<\/div><\/div>\n\n\n\n
            \n
            \n

            Chapter 6. State Space Analysis<\/h3><\/div>\n\n\n\n
              \n
            • Definition of State Vector<\/li>\n\n\n\n
            • Review of Matrix Algebra<\/li>\n\n\n\n
            • Representation in State-Variable form<\/li>\n<\/ul>\n<\/div>\n\n\n\n
              <\/div>\n<\/div><\/div>\n\n\n\n

              Bibliography<\/h3><\/div>\n\n\n\n
                \n
              • Lathi, B. P. Linear Systems<\/em><\/strong>. 2th ed.Oxford University Press, New York and Oxford, 2010.<\/li>\n<\/ul>\n\n\n\n

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