Hilbert and FFT Filters Implementation in MATLAB

This technical document presents MATLAB implementations of Hilbert and FFT filters, designed specifically for those beginning their journey in digital signal processing. Through practical code examples, you'll learn how to implement these fundamental filters using key MATLAB functions like hilbert() for analytic signal generation and fft() for frequency domain analysis. The Hilbert filter implementation demonstrates how to create analytic signals and extract instantaneous phase/amplitude information, while the FFT filter examples showcase frequency domain filtering techniques including windowing functions and spectral manipulation. By working with these implementations, you'll gain hands-on experience with core DSP concepts such as frequency domain analysis, signal transformation, and filter design principles. Whether you're studying in academic settings or applying DSP in professional environments, mastering these filters will significantly enhance your technical skills. Furthermore, practical application of these filters through MATLAB coding will deepen your understanding of real-world signal processing challenges and improve your problem-solving capabilities in practical scenarios. We encourage you to leverage this opportunity to thoroughly explore both the theoretical foundations and practical implementations of Hilbert and FFT filters.