On the Zeros of the Linear Prediction-Error Filter for Deterministic Signals
Document Type
Article
Date of Original Version
1-1-1983
Abstract
The zeros of a linear prediction-error filter polynomial for a class of deterministic signals, that are a sum of samples of M exponentially damped/undamped sinusoids, is studied. It is assumed that N samples are available for processing and that they are uncorrupted by noise. It is shown that the exponent parameters of the M signals can be determined from M zeros (called “signal zeros”) of an L th degree prediction-error filter polynomial (L > M) if L lies in between M and N−M (N − M/2 in a special case). The rest of the L − M zeros of the filter polynomial switch are called extraneous zeros, are shown to be approximately uniformly distributed with in the unit circle, regardless of the type of exponentials in the signal, if the prediction filter coefficients are chosen to have minimum Euclidean length. The results obtained provide insight into the estimation problem with noisy data. © 1983 IEEE
Publication Title, e.g., Journal
IEEE Transactions on Acoustics Speech and Signal Processing
Volume
31
Issue
1
Citation/Publisher Attribution
Kumaresan, Ramdas. "On the Zeros of the Linear Prediction-Error Filter for Deterministic Signals." IEEE Transactions on Acoustics Speech and Signal Processing 31, 1 (1983). doi: 10.1109/TASSP.1983.1164021.