The analysis of signals and systems constitutes one of the cornerstones of modern electrical and electronic engineering. Whether in communications, control, biomedical instrumentation, or audio processing, engineers are continuously confronted with the challenge of understanding how signals behave, how they are transformed, and how physical systems respond to them.
This lecture provides a rigorous and structured introduction to analog signals and systems, progressing from foundational definitions to advanced mathematical tools essential for system analysis. We begin by establishing the distinction between continuous-time and discrete-time signals, before examining the elementary signal models (such as the unit impulse, unit step, and sinc function) that serve as the building blocks for representing more complex waveforms. From there, we explore the classification of signals according to their energy, power, periodicity, and determinism, as these properties govern both the choice of analytical method and the physical interpretation of results. A thorough treatment of signal operations (scaling, shifting, folding, and multiplication ) equips students with the mathematical dexterity required for signal manipulation in practical contexts.
The second part of the lecture turns to spectral analysis, where the Fourier Series and Fourier Transform are introduced as powerful decomposition tools that reveal the frequency content of periodic and aperiodic signals respectively. Understanding the frequency domain is indispensable in fields such as filter design, modulation, and system identification.
Finally, the Laplace Transform is presented as a generalization of the Fourier Transform, offering a more complete framework for analyzing causal systems, solving differential equations, and evaluating system stability through the concept of poles and zeros in the complex plane. Together, these three analytical frameworks (time domain, frequency domain, and Laplace domain) form an integrated toolkit that underpins virtually all areas of analog signal and system engineering
Biography of instructor/staff member #1
lecturer in electrical and electronic engineering with interests in signal processing, sensors, instrumentation, and control systems. Committed to providing high-quality engineering education and continuously enhancing my expertise through research and lifelong learning.
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