01 Chapter Map - Signal Fundamentals & Operations

Chapter 1 Overview & Map of Content (MOC)

Foundational continuous-time signal classifications, singularity functions, elementary operations, parity decompositions, and hold-reconstruction circuits.


📚 Study Notes Index

Read in order — each note assumes the previous one.

#NoteWhat it covers
1.001.00 Signal Fundamentals and Operations Compact ReviewSignal Operations Compact Review, Chapter 1 Formula Sheet
1.011.01 Signals, Systems & Singularity FunctionsSignal Definition, System Definition, Unit Step Function, Unit Impulse Function, Ramp Function, Signum Function, Rectangular Pulse
1.021.02 Elementary Operations on SignalsTime Shifting, Time Scaling, Time Reversal, Signal Folding, Discrete Signal Operations
1.031.03 Signal Classification I — Theory & PeriodicitySignal Classification, Continuous-Time Signal, Discrete-Time Signal, Analog Signal, Digital Signal, Deterministic Signal, Random Signal, Periodic Signal, Aperiodic Signal, Periodicity Test
1.041.04 Signal Classification II — Symmetry, Energy & PowerCausal Signal, Anti-causal Signal, Even Signal, Odd Signal, Even-Odd Decomposition, Energy Signal, Power Signal
1.051.05 The Sampling Theorem Bridge & Multi-Rate ProcessingSampling Theorem, Nyquist Rate, Aliasing, Natural Sampling, Flat-top Sampling, Down-sampling, Up-sampling, Decimation, Interpolation
1.061.06 Typical Signal Processing OperationsTypical Operations, Signal Operations, Correlation, Modulation, Filtering, Multiplexing
1.071.07 Supplementary Signal Functions Hold Circuits and DAC ReSinc and Exponential Signals, ZOH and FOH, DAC Reconstruction

🎯 Exam Weight

ECE 2107 Exam Relevance

Master the core derivations, mathematical definitions, and problem-solving techniques. Refer to ECE 2107 - Signals and Systems for syllabus boundaries and past year questions.