Adaptive filter theory (3rd ed.)
Adaptive filter theory (3rd ed.)
Active Noise Control Systems: Algorithms and DSP Implementations
Active Noise Control Systems: Algorithms and DSP Implementations
Digital computation of the fractional Fourier transform
IEEE Transactions on Signal Processing
Improved instantaneous frequency estimation using an adaptiveshort-time Fourier transform
IEEE Transactions on Signal Processing
Short-time Fourier transform: two fundamental properties and an optimal implementation
IEEE Transactions on Signal Processing
Noisy speech processing by recurrently adaptive fuzzy filters
IEEE Transactions on Fuzzy Systems
Adaptive feedback active noise control headset: implementation, evaluation and its extensions
IEEE Transactions on Consumer Electronics
Signal-adaptive discrete evolutionary transform as a sparse time-frequency representation
Digital Signal Processing
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A novel adaptive filtering scheme based on fractional Fourier transform (FrFT) is introduced and characterized. As a generalization of the ordinary Fourier transform, FrFT is a powerful analysis tool to describe signals with chirp-type components. We show that in case of linear frequency modulated (LFM) signals fractional Fourier domain adaptive filtering schemes provide less error and faster convergence. The adaptation algorithm is employed in an active noise control system application with various LFM signals and a real multi-component signal. Simulation results present that the adaptation performance in FrFT-domain adaptive filtering is superior compared to time-domain adaptation.