A Least-Squares Filter Design Technique for the Compensation of Frequency Response Mismatch Errors in Time-Interleaved A/D Converters

This paper introduces a least-squares filter design technique for the compensation of frequency response mismatch errors in M-channel time-interleaved analog-to-digital converters. The overall compensation system is designed by determining M filter impulse responses analytically through M separate matrix inversions. The proposed technique offers an alternative to least-squares techniques that determine all filters simultaneously. Several design examples are included for illustration.

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

[2]  Håkan Johansson,et al.  Reconstruction of Nonuniformly Sampled Bandlimited Signals by Means of Time-Varying Discrete-Time FIR Filters , 2004, 2004 12th European Signal Processing Conference.

[3]  Patrick Satarzadeh,et al.  Bandwidth Mismatch Correction for a Two-Channel Time-Interleaved A/D Converter , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[4]  Munkyo Seo,et al.  Generalized Blind Mismatch Correction for a Two-Channel Time-Interleaved ADC: Analytic Approach , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[5]  J.-Y. Wu,et al.  Optimal finite impulse response approximate inverse of linear periodic filters , 2006 .

[6]  Stephen H. Lewis,et al.  Bandwidth Mismatch and Its Correction in Time-Interleaved Analog-to-Digital Converters , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[7]  Kameswaran Vengattaramane,et al.  Least-Squares and Minimax Design of Polynomial Impulse Response FIR Filters for Reconstruction of Two-Periodic Nonuniformly Sampled Signals , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  P. Vaidyanathan Multirate Systems And Filter Banks , 1992 .

[9]  Tongwen Chen,et al.  Representations of linear periodically time-varying and multirate systems , 2002, IEEE Trans. Signal Process..

[10]  Christian Vogel Modeling, Identification, and Compensation of Channel Mismatch Errors in Time-Interleaved Analog-to- , 2005 .

[11]  Christian Vogel,et al.  On the Compensation of Magnitude Response Mismatches in M-channel Time-interleaved ADCs , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[12]  Gernot Kubin,et al.  Modeling, Identication, and Compensation of Channel Mismatch Errors in Time-Interleaved Analog-to-Digital Converters , 2005 .

[13]  U. Madhow,et al.  Comprehensive digital correction of mismatch errors for a 400-msamples/s 80-dB SFDR time-interleaved analog-to-digital converter , 2005, IEEE Transactions on Microwave Theory and Techniques.

[14]  Upamanyu Madhow,et al.  Generalized Blind Mismatch Correction for Two-Channel Time-Interleaved A-to-D Converters , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[15]  Simon Minze Louwsma Time-interleaved Analog-to-Digital Converters , 2010 .

[16]  Bernard C. Levy,et al.  Adaptive blind calibration of timing offset and gain mismatch for two-channel time-interleaved ADCs , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  Stefan Tertinek,et al.  Reconstruction of Two-Periodic Nonuniformly Sampled Band-Limited Signals Using a Discrete-Time Differentiator and a Time-Varying Multiplier , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[18]  Christian Vogel,et al.  A Compensation Method for Magnitude Response Mismatches in Two-channel Time-interleaved Analog-to-Digital Converters , 2006, 2006 13th IEEE International Conference on Electronics, Circuits and Systems.