Introduction to Signals and Systems
The course module covers foundational concepts in Signals and Systems, including signal classification, manipulation techniques, and system properties. It establishes key distinctions between continuous-time and discrete-time signals, analog and digital signals, and periodic versus aperiodic signals. By the end of the module, students will be equipped to analyze signals and systems using fundamental operations and understand the behavior of various signal types in engineering contexts.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Successful signal characterization is key to applying the correct mathematical tools for analysis.
- Fundamental operations on signals, such as scaling, shifting, and reversing, play a critical role in signal processing.
- The understanding of system properties like linearity, time invariance, and causality is essential for analyzing signal transformations.
Key Concepts
- -- ContinuousTime (CT) Signals
- Signals defined at every instant of time, represented as x(t).
- -- DiscreteTime (DT) Signals
- Signals defined only at specific time intervals, represented as x[n].
- -- Signal Operations
- Types of manipulations applied to signals, including amplitude scaling, time shifting, and more.
- -- Linear TimeInvariant (LTI) Systems
- Systems whose output for a given input does not change over time and obeys the principles of superposition.
- -- Impulse Function
- A mathematical representation of a signal that has an area of one under its curve at a point, crucial for system analysis.
Additional Learning Materials
Supplementary resources to enhance your learning experience.