Title :
Error propagation in the recursive QRD LS filter
Author :
Dedieu, H. ; Hasler, M.
Author_Institution :
Swiss Federal Inst. of Technol., Lausanne, Switzerland
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.150710
