Resolution Enhancement Approaches
Pekka E. Saarinen, Jyrki K. Kauppinen · Handbook of Vibrational Spectroscopy · 2001
Abstract The sections in this article are Fourier Transform and Impulse Response Definition and Discretization of Fourier Transform Continuous Fourier Transform and the Dirac Delta Function Some Useful Fourier Transform Pairs The Discrete Fourier Transform ( DFT ) Signal Discretization Effects: Spectral Aliasing and Resolution Convolution, Impulse Response, and Linear Prediction Convolution, Impulse Response, and Line Shape Discrete Convolution Transfer Function and Causal Impulse Response Forward and Backward Linear Prediction Frequency Estimation from the Impulse Response Eigenanalysis Approach to Frequency Estimation The Minimum Norm Method MUSIC (Multiple Signal Classification) Resolution Enhancement without Signal Extrapolation Fourier Self Deconvolution Derivatives in Resolution Enhancement Prony's Method Maximum Entropy Power Spectral Estimator Resolution Enhancement by Signal Extrapolation Extrapolation Without Impulse Response: the Minimum Negativity Method Signal Extrapolation with Impulse Response Computation of the Impulse Response The Matrix Methods The Levinson–Durbin Recursion and Burg's Formula Theoretical Impulse Response LOMEP ( Line Shape Optimized Maximum Entropy Linear Prediction ) Frequency Tuning Method