Lec 1: Signals and Systems

Lec 1: Signals and Systems

🎙 Prof. Chayan Bhawal 👥 226K 📅 January 2, 2026 ⏱ 16 min 👁 2K 📄 tutorial 🧭 2026-08-02
Available in: English (current) Français

Keywords

signalsystemcontinuous-timediscrete-timeoperator

Summary

This first lecture of a control engineering course introduces the fundamental concepts of signals and systems. The instructor defines a signal as a function of one or more independent variables that conveys information about a phenomenon, and illustrates this with examples from electrical circuits (voltage/current), mechanical systems (position of a quadrotor), and imaging (pixel intensities). He then distinguishes between continuous-time and discrete-time signals, noting that while most of the course will focus on continuous-time, practical implementation on digital computers requires sampling. The lecture then defines a system as an operator that maps input signals to output signals, and provides the mathematical representation y(t) = H{u(t)}. A simple integrator example is given. The lecture concludes by stating that the next lecture will cover different types of systems.

126 words

Critical Evaluation

The lecture provides a clear and accessible introduction to the foundational concepts of signals and systems, which is appropriate for a first-year engineering course. The instructor’s use of concrete examples, such as the quadrotor and image processing, helps to ground abstract definitions in practical applications. The mathematical formalism is introduced correctly: signals are represented as functions, and systems as operators. The distinction between continuous-time and discrete-time signals is explained well, with a sensible justification for focusing on continuous-time initially. However, the lecture lacks depth and rigor in several areas. The definition of a signal as a function of one or more independent variables is standard, but the instructor does not discuss important classifications such as energy vs. power signals, periodic vs. aperiodic, or deterministic vs. random. Similarly, the definition of a system as an operator is correct, but no properties of systems (e.g., linearity, time-invariance, causality) are introduced, which are crucial for subsequent analysis. The lecture is purely introductory and does not provide any mathematical derivations or proofs. The use of a MATLAB example is a nice touch, but it is not explained in detail and may be difficult for beginners to follow. The instructor’s teaching style is engaging, but the content is thin for a 17-minute lecture. The absence of any references or citations is a weakness, as students are not directed to further reading. Overall, this is a solid but basic introduction that sets the stage for more advanced topics, but it does not stand alone as a comprehensive treatment. The title accurately reflects the content, and the lecture is well-structured. For a student new to the subject, this is a helpful starting point, but those with some background may find it too elementary.

286 words

Title / Content Match

The title accurately reflects the content, which introduces signals and systems.

Quality & Reliability

7/10

Lecture from an IIT Guwahati professor, part of a formal NPTEL course. Content is standard and accurate, but limited to introductory definitions with no citations or references.

Key Moments

Cited Sources

Concurring Sources

Contribution & Novelties

This lecture provides a clear and accessible introduction to the fundamental concepts of signals and systems, which is essential for control engineering. It establishes the mathematical framework of signals as functions and systems as operators, and illustrates these concepts with practical examples. The lecture is particularly useful for beginners, as it bridges the gap between abstract definitions and real-world applications.

Pour aller plus loin :

101 words

Radar Profile

The radar profile shows a balanced but modest performance across all dimensions, with slightly higher scores in quality and reliability, reflecting the lecture's accuracy but limited depth. The low level of technical detail and lack of citations keep the overall score moderate.

Reliability 7/10