Adaptive Digital FiltersThis text emphasizes the intricate relationship between adaptive filtering and signal analysis - highlighting stochastic processes, signal representations and properties, analytical tools, and implementation methods. This second edition includes new chapters on adaptive techniques in communications and rotation-based algorithms. It provides practical applications in information, estimation, and circuit theories. |
Contents
| 1 | |
Signals and Noise | 15 |
Correlation Function and Matrix | 57 |
Gradient Adaptive Filters | 101 |
Linear Prediction Error Filters | 145 |
Fast Least Squares Transversal Adaptive Filters | 189 |
Other Adaptive Filter Algorithms | 235 |
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Common terms and phrases
AC matrix adaptation gain adaptation step adaptive filter applications approach assumed backward linear prediction backward prediction error calculated coefficient updating coefficient vector complex computed correlation corresponding cost function cross-correlation data vector decomposition defined derived Digital Ea(n echo canceller eigenvalues eigenvectors elements estimation expression filter coefficients FIR filter FLS algorithms forward prediction error frequency Gaussian Hopt IEEE IEEE Trans implementation input data input signal inverse lattice least squares linear prediction coefficients matrix inversion lemma minimum phase multiplications noise power notch filter obtained operations optimal order recursions output error parameters posteriori prediction error energy prediction error filter prediction error power prediction filter predictor priori recurrence relation reference signal RN(n rotation samples scalar sequence shown in Figure signal power Signal Processing signal x(n sinusoids spectral spectrum techniques tion transfer function transversal unit circle updating equation values variables variance weighting factor white noise x₁(n yields zero