On design of a novel class of selective CIC FIR filter functions with improved response

Abstract The Cascaded-Integrator-Comb (CIC) filter is a non-recursive (FIR) filter which is multiplier free, consisting only of two building blocks (simple integrator stage and simple comb filter stage) and has a linear phase. This paper summarizes some key points of classical CIC filters and proposes a novel class of CIC FIR filter functions. A novel class of CIC filter functions maintains simplicity of FIR filters by avoiding the multipliers, but shows excellent performances in term of insertion loss in stopband and selectivity with respect to conventional CIC filters. A set of simulations along with illustrative examples is conducted in order to compare the attenuation characteristics of the classical CIC filter functions and the proposed novel class of selective CIC FIR filter functions. For the same level of a constant group delay τ  = 45.5 s, a classical CIC filter function has insertion loss of 166.3 dB, and designed novel filter function has a higher level of insertion loss 206.55 dB.

[1]  Dragan Antić,et al.  Low complexity lowpass linear-phase multiplierless FIR filter , 2013 .

[2]  Jeffrey O. Coleman Chebyshev Stopbands for CIC Decimation Filters and CIC-Implemented Array Tapers in 1D and 2D , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Sanjit K. Mitra,et al.  Simple method for compensation of CIC decimation filter , 2008 .

[4]  M. Madheswaran,et al.  Cascading Sharpened CIC and Polyphase FIR Filter for Decimation Filter , 2013 .

[5]  Alfonso Fernández-Vázquez,et al.  Maximally Flat CIC Compensation Filter: Design and Multiplierless Implementation , 2012, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  Nebojsa Doncov,et al.  Christoffel-Darboux Formula Most Directly Applied in Generating Economical Linear Phase Low-Pass Digital FIR Filter Functions , 2012 .

[7]  Hai Huyen Dam Variable fractional delay filter with sub-expression coefficients , 2013 .

[8]  Sanjit K. Mitra,et al.  A new two-stage sharpened comb decimator , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  Ligang Wu,et al.  Sensor Networks With Random Link Failures: Distributed Filtering for T–S Fuzzy Systems , 2013, IEEE Transactions on Industrial Informatics.

[11]  Ligang Wu,et al.  Induced l2 filtering of fuzzy stochastic systems with time-varying delays , 2013, IEEE Transactions on Cybernetics.

[12]  E. Hogenauer,et al.  An economical class of digital filters for decimation and interpolation , 1981 .

[13]  Letizia Lo Presti,et al.  Efficient modified-sinc filters for sigma-delta A/D converters , 2000 .

[14]  Gordana Jovanovic Dolecek,et al.  Novel droop-compensated comb decimation filter with improved alias rejections , 2013 .

[15]  Massimiliano Laddomada Comb-Based Decimation Filters for $\Sigma \Delta$ A/D Converters: Novel Schemes and Comparisons , 2007, IEEE Transactions on Signal Processing.

[16]  Nebojsa Doncov,et al.  1D and 2D economical FIR filters generated by Chebyshev polynomials of the first kind , 2013 .

[17]  G. Jovanovic Dolecek Simple wideband CIC compensator , 2009 .

[18]  M. Laddomada Generalized Comb Decimation Filters for $\Sigma\Delta$ A/D Converters: Analysis and Design , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Dragan Antić,et al.  Ultra-selective lowpass linear-phase FIR filter function , 2013 .

[20]  Suhash C. Dutta Roy Impulse response of sinc/sup N/ FIR filters , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[21]  Choon Ki Ahn,et al.  New peak-to-peak state-space realization of direct form interfered digital filters free of overflow limit cycles , 2013 .