Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.
Covers correlation and cross-correlations in air pollution data analysis, including time series, autocorrelations, Fourier analysis, and power spectrum.
Explores statistical signal processing tools for wireless communications, including spectral estimation and signal detection, classification, and adaptive filtering.
Covers the properties of the Fourier transform, including linearity, shifts, time reversal, differentiation, integration, convolution, and conjugate symmetry.
Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.
Explores the discrete-time Fourier transform, its properties, and signal transformations, including examples like the rectangular pulse and unit impulse.