Verifying the Nyquist Sampling Theorem
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Resource Overview
MATLAB implementation for verifying the Nyquist Sampling Theorem, calculating numerical Fourier transform of signals, numerical solutions, plotting time-domain graphs and frequency-domain spectra
Detailed Documentation
This implementation demonstrates the verification of the Nyquist Sampling Theorem using MATLAB. The process involves performing numerical Fourier transforms on signals and obtaining numerical solutions through computational methods. Key MATLAB functions used include fft() for Fast Fourier Transform calculations and plot() for visualizing the results. The implementation generates both time-domain plots showing the original signal waveform and frequency-domain plots displaying the signal's spectral characteristics. These visualizations enable detailed analysis of signal features and spectral information, particularly demonstrating how proper sampling rates prevent aliasing and preserve signal integrity. The code typically involves defining sample rates, generating test signals, applying Fourier transforms, and comparing results between properly sampled and undersampled scenarios to illustrate the theorem's practical implications.
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