Title :
On the adaptive lattice notch filter for the detection of sinusoids
Author :
Cho, N.I. ; Lee, S.U.
Author_Institution :
Dept. of Control & Instrum. Eng., Seoul Nat. Univ., South Korea
fDate :
7/1/1993 12:00:00 AM
Abstract :
A lattice notch filter for the detection and enchancement of sinusoids in noise is presented, and the convergence properties of the algorithm are investigated using ODE (ordinary differential equation) analysis. It is shown that the frequency estimate of the algorithm for a single sinusoid is unbiased, regardless of the pole-zero contraction factor and the noise variance. An expression for the MSE (mean square error) of the frequency estimate and the output SNR of the algorithm is derived. Simulation results are presented to verify the theoretical analysis. Based on cascading the proposed second-order adaptive notch filter, three different approaches for the detection of multiple sinusoids are presented. The first approach uses a linear cascade structure, and the second and third approaches use a triangular cascade structure. The performance of the algorithms for multiple sinusoids is investigated, and computer simulation results are presented and discussed
Keywords :
adaptive filters; convergence; differential equations; errors; filtering and prediction theory; notch filters; signal detection; MSE; adaptive lattice notch filter; computer simulation; convergence properties; frequency estimate; linear cascade structure; mean square error; multiple sinusoids; noise variance; ordinary differential equation; output SNR; performance analysis; pole-zero contraction factor; sinusoid detection; triangular cascade structure; Adaptive filters; Algorithm design and analysis; Analytical models; Computer simulation; Convergence; Differential equations; Frequency estimation; Lattices; Mean square error methods; Signal to noise ratio;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
