Weight functions based on B-splines in sampling circuits with internal filtering

Sampling circuits (SCs) with internal antialiasing filtering in software defined radios allow significant increase in dynamic range, flexibility, and scale of integration of the analog and mixed signal portions of these radios. Filtering properties of the SCs are determined by their weight functions. While these weight functions can be optimized for filtering according to formal mathematical criteria, these optimal functions may not be useful due to the complexity of their generation. For this reason, it is often preferable to use suboptimal weight functions that simplify the implementation of the SCs. One promising class of suboptimal weight functions is based on B-splines. Comparative analysis of optimal and B-spline-based weight functions is given in this paper. 1 2

[1]  Yefim S. Poberezhskiy,et al.  Flexible Analog Front Ends of Reconfigurable Radios Based on Sampling and Reconstruction with Internal Filtering , 2005, EURASIP J. Wirel. Commun. Netw..

[2]  Michael Unser,et al.  Splines: a perfect fit for signal and image processing , 1999, IEEE Signal Process. Mag..

[3]  Yefim S. Poberezhskiy,et al.  Some aspects of the design of software defined receivers based on sampling with internal filtering , 2009, 2009 IEEE Aerospace conference.

[4]  Y. Poberezhskiy,et al.  Sampling technique allowing exclusion of antialiasing filter , 2000 .

[5]  L.R. Rabiner,et al.  Interpolation and decimation of digital signals—A tutorial review , 1981, Proceedings of the IEEE.

[6]  Y. Poberezhskiy,et al.  Sampling and signal reconstruction structures performing internal antialiasing filtering , 2002, 9th International Conference on Electronics, Circuits and Systems.

[7]  Gennady Y. Poberezhskiy,et al.  Channel mismatch compensation in multichannel sampling circuits with weighted integration , 2009, 2009 IEEE Aerospace conference.

[8]  M. Unser Sampling-50 years after Shannon , 2000, Proceedings of the IEEE.

[9]  C. Sidney Burrus,et al.  Constrained least square design of FIR filters without specified transition bands , 1996, IEEE Trans. Signal Process..

[10]  Y.S. Poberezhskiy,et al.  Signal Reconstruction in Digital Transmitter Drives , 2008, 2008 IEEE Aerospace Conference.

[11]  A. J. Jerri The Shannon sampling theorem—Its various extensions and applications: A tutorial review , 1977, Proceedings of the IEEE.

[12]  Yefim S. Poberezhskiy,et al.  Corrections to "Sampling and Signal Reconstruction Circuits Performing Internal Antialiasing Filtering and Their Influence on the Design of Digital Receivers and Transmitters" , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[13]  MitolaJ. Software radio architecture , 1999 .

[14]  L. Rabiner,et al.  FIR digital filter design techniques using weighted Chebyshev approximation , 1975, Proceedings of the IEEE.