chore: enhance sample posts with author, tags, and coverImage frontmatter

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title: "Fourier Analysis: From Mathematical Theory to Python Practice"
date: "2025-03-10"
excerpt: "A deep, hands-on exploration of Fourier analysis — deriving the theory, implementing it in Python, visualizing convergence, and confronting the Gibbs phenomenon head-on."
tags: ["mathematics", "python", "signal-processing", "fourier", "analysis"]
tags:
- mathematics
- python
- signal-processing
- tutorial
author: James Liu
coverImage: /images/fourier-cover.jpg
---
# Fourier Analysis: From Mathematical Theory to Python Practice