Sparse complex FxLMS for active noise cancellation over spatial regions

Abstract

In this paper, we investigate active noise control over large 2D spatial regions when the noise source is sparsely distributed. The 1 relaxation technique originated from compressive sensing is adopted and based on that we develop the algorithm for two cases: multipoint noise cancellation and wave domain noise cancellation. This results in two new variants (i) zero-attracting multi-point complex FxLMS and (ii) zero-attracting wave domain complex FxLMS. Both approaches use a feedback control system, where a microphone array is distributed over the boundary of the control region to measure the residual noise signals and a loudspeaker array is placed outside the microphone array to generate the anti-noise signals. Simulation results demonstrate the performance and advantages of the proposed methods in terms of convergence rate and spatial noise reduction levels.

Mode Domain Spatial Active Noise Control Using Sparse Signal Representation

“…By utilizing the steepest descent algorithm, we can update the weights γ as where n is the iteration index and µmic is the step size. A gradient of the cost function J (n) can be calculated as [19], [20] ∇J…”

“…However, they calculated the loudspeaker weights using amplitudepanning, which cannot be used directly for mode-domain processing. Jihui [19], [20] proposed the sparse complex FxLMS algorithm although they applied the CS approach to calculate sparse loudspeaker weights so that the spatial-aliasing artifacts cannot be avoided, which is caused by the spatial sampling of the microphone array.…”

Physical Classification and Recent Developments of Active Noise Control Systems

“…In last one decade, many techniques and algorithms have suggested more efficient realization of MCANC system, of which Affine Projection Algorithm [58,59], MC-RLS [60], wave field synthesis [61], and higher-order ambisonics [62] are famous for achieving spatial sound field control. The 2D higher-order ambisonics control, sparse FXLMS, and optimized time difference based reference microphone techniques are more advanced methods for the scattered sound field [63,64].…”

Active Noise Control over Space: A Subspace Method for Performance Analysis

“…In literature, both time-domain [7,8] and frequency-domain [9,10] algorithms have been implemented in multichannel ANC systems, which can cancel the noise at error sensor positions and their close surroundings [10]. Recently, ANC over space has been approached via Wave field synthesis (WFS)-based wave-domain algorithms [11][12][13] and (cylindrical/spherical) harmonic-based wave-domain algorithms [14][15][16][17][18][19], with which the noise over entire region of interest can be cancelled directly. Here onwards, we use the terminology 'wave-domain ANC' to refer to harmonics-based wave-domain ANC.…”