tailieunhanh - Báo cáo hóa học: " An FIR Notch Filter for Adaptive Filtering of a Sinusoid in Correlated Noise"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: An FIR Notch Filter for Adaptive Filtering of a Sinusoid in Correlated Noise | Hindawi Publishing Corporation EURASIP Journal on Applied Signal Processing Volume 2006 Article lD38190 Pages 1-10 DOI ASP 2006 38190 An FIR Notch Filter for Adaptive Filtering of a Sinusoid in Correlated Noise Osman Kukrer and Aykut Hocanin Department of Electrical and Electronics Engineering Eastern Mediterranean University Gazimagusa Mersin 10 Turkey Received 26 July 2005 Revised 23 January 2006 Accepted 18 February 2006 Recommended for Publication by Richard Heusdens A novel adaptive FIR filter for the estimation of a single-tone sinusoid corrupted by additive noise is described. The filter is based on an offline optimization procedure which for a given notch frequency computes the filter coefficients such that the frequency response is unity at that frequency and a weighted noise gain is minimized. A set of such coefficients is obtained for notch frequencies chosen at regular intervals in a given range. The filter coefficients corresponding to any frequency in the range are computed using an interpolation scheme. An adaptation algorithm is developed so that the filter tracks the sinusoid of unknown frequency. The algorithm first estimates the frequency of the sinusoid and then updates the filter coefficients using this estimate. An application of the algorithm to beamforming is included for angle-of-arrival estimation. Simulation results are presented for a sinusoid in correlated noise and compared with those for the adaptive IIR notch filter. Copyright 2006 Hindawi Publishing Corporation. All rights reserved. 1. INTRODUCTION Estimation of sinusoidal signals and their frequencies from noisy measurements is important in many fields such as angle of arrival estimation frequency-shift keying FSK demodulation Doppler estimation of radar waveforms biomedical engineering sensor array processing and cancellation of periodic interferences 1 . The observed signal has the following general form x k a cos kỡ 0 q k . 1 The problem in many applications is to .