On a filter bank correction scheme for mitigating mismatch distortions in time-interleaved converter systems

This paper presents a multirate filterbank architecture that mitigates the distortion caused by non-ideal samplers in a time-interleaved system. Closed form fractional delay filters with finite impulse response (FIR) and infinite impulse response (IIR) type are employed to model the behaviour of the non-ideal converters. Based on a polyphase description of the system, the reconstruction filters are derived for the IIR case, which can be regarded as a generalization of the FIR design scheme. Furthermore, the achieved performance of filter banks for various fractional delay filters is compared. To investigate the numerical robustness, the impact of limited coefficient lengths on different figures-of-merit was explored. Finally, the reconstruction of a non-uniformly sequence was used as an example to verify the reconstruction scheme.

[1]  W. Black,et al.  Time interleaved converter arrays , 1980, 1980 IEEE International Solid-State Circuits Conference. Digest of Technical Papers.

[2]  Vesa Välimäki,et al.  Principles of fractional delay filters , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[3]  J. Mitola,et al.  Software radios: Survey, critical evaluation and future directions , 1992, IEEE Aerospace and Electronic Systems Magazine.

[4]  H. Nyquist,et al.  Certain Topics in Telegraph Transmission Theory , 1928, Transactions of the American Institute of Electrical Engineers.

[5]  Vesa Välimäki Simple design of fractional delay allpass filters , 2000, 2000 10th European Signal Processing Conference.

[6]  J. Thiran Recursive digital filters with maximally flat group delay , 1971 .

[7]  Robert Bregovic,et al.  Multirate Systems and Filter Banks , 2002 .

[8]  Håkan Johansson,et al.  Reconstruction of nonuniformly sampled bandlimited signals by means of digital fractional delay filters , 2002, IEEE Trans. Signal Process..

[9]  Bernard C. Levy,et al.  Reconstruction of band-limited periodic nonuniformly sampled signals through multirate filter banks , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  Yih-Chyun Jenq Perfect reconstruction of digital spectrum from nonuniformly sampled signals , 1997 .