Title :
On the performance of discrete-time hybrid filter banks with coefficient errors and ARMA stochastic process input
Author :
De Andrade Pinheiro, Marcos Aurelio ; Petraglia, Antonio
Author_Institution :
CNEN-IEN, Rio de Janeiro, Brazil
Abstract :
In the theory of filter banks, perfect reconstruction plays a key role. However, when the implementation is considered, the errors due to technological limitations severely limit the filter bank performance. This problem is of great concern, mainly in applications of high-speed, high-resolution A/D and D/A conversions, for which the hybrid filter banks are becoming attractive solutions. This paper presents a study about the performance, assessed by the signal-to-noise ratio (SNR), of A/D, D/A and purely analog filter banks subjected to coefficient errors, in the light of probability theory. Expressions for the SNR mean value and standard deviation are derived, valid for zero mean ARMA, MA, AR and white noise stochastic processes as inputs. Computer simulations support the results.
Keywords :
analogue-digital conversion; autoregressive moving average processes; channel bank filters; digital-analogue conversion; discrete time filters; error statistics; probability; signal reconstruction; stochastic processes; white noise; A/D conversion; ARMA stochastic process input; D/A conversion; SNR mean value; analog filter banks; coefficient error; computer simulation; discrete-time hybrid filter banks; filter bank theory; probability theory; signal-to-noise ratio; standard deviation; white noise; zero mean; Channel bank filters; Stochastic processes;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1328798