08 Chapter Map - Continuous-Time Fourier Transform (CTFT)
Chapter 8 Overview & Map of Content (MOC)
Rayleigh’s energy theorem, Gaussian self-transforms, modulation shifting, and low-pass RC network analysis.
📚 Study Notes Index
Read in order — each note assumes the previous one.
| # | Note | What it covers |
|---|---|---|
| 8.00 | 8.00 Continuous-Time Fourier Transform CTFT Compact Review | CTFT Compact Review, Fourier Transform Formula Sheet |
| 8.01 | 8.01 Foundation of the Continuous-Time Fourier Transform CTF | CTFT Foundation, Derivation of Fourier Transform, Fourier Integral, Dirichlet Conditions |
| 8.02 | 8.02 Properties of the Continuous-Time Fourier Transform | CTFT Properties, Fourier Transform Theorems, Modulation Property, Scaling Property |
| 8.03 | 8.03 Rayleighs Energy Theorem and Spectral Density | Rayleigh’s Theorem, Energy Spectral Density, ESD, Power Spectral Density, PSD |
| 8.04 | 8.04 CTFT Pairs for Singularity and Common Functions | Fourier Transform Pairs, Common CTFT Pairs, Gaussian Self-Transform, Signum Transform |
| 8.05 | 8.05 Time-Domain Convolution and Multiplication Properties | Convolution Property, Multiplication Property, Spectral Multiplication, Spectral Convolution |
| 8.06 | 8.06 Frequency Spectra Phase Spectra and Modulation | Frequency Spectra, Phase Spectra, Modulation Theorem, Amplitude Modulation |
| 8.07 | 8.07 CTFT System Analysis of Continuous Networks | Circuit Fourier Analysis, Frequency response of RC networks, LPF CTFT |
🎯 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.
🔗 Related Resources
- Course Teaching Plan: ECE 2107 - Signals and Systems
- Previous chapter: 07 Chapter Map - Continuous-Time Fourier Series (CTFS)
- Next chapter: 09 Chapter Map - Laplace Transform & s-Domain Circuit Applications