Error propagation in the recursive QRD LS filter

Author

Dedieu, H. ; Hasler, M.

Author_Institution

Swiss Federal Inst. of Technol., Lausanne, Switzerland

fYear

1991

fDate

14-17 Apr 1991

Firstpage

1841

Abstract

The signal processing interpretation of the state variables of the recursive QR decomposition LS (least-squares) algorithm is analyzed. This makes it possible to find bounds for the state variables in order to ensure a correct fixed-point implementation. Furthermore, a general model of the propagation of quantization errors has been investigated; this model exhibits the property of exponential stability if a single error is inserted at a fixed time

Keywords

digital filters; errors; least squares approximations; signal processing; bounds; digital filter; error propagation; exponential stability; fixed-point implementation; least squares algorithm; model; quantization errors; recursive QR decomposition; recursive QRD LS filter; signal processing; state variables; Adaptive arrays; Adaptive filters; Algorithm design and analysis; Least squares methods; Noise cancellation; Noise level; Quantization; Sampling methods; Signal processing algorithms; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150710

Filename

150710

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1974913