Signal Processing Concepts and Engineering Insights.
Explore signal processing concepts, algorithm comparisons, and practical engineering insights.
Topics include FFT vs STFT, FRF analysis, filtering techniques, and other signal processing methods used in real engineering workflows.
Hilbert Transform Explained: From Theory to Application
The Hilbert transform is a powerful tool used to construct the analytic signal and extract envelope and phase information.
Mathematical Definition
The Hilbert transform of x(t) is
In the frequency domain
Key Property
Analytic Signal
Applications
Key Insight
Hilbert Transform converts a real signal into a complex analytic signal. This enables Amplitude, Phase, Frequency to be defined instantaneously.
Suggested Further Reading