Analysis of the Effects of the Frequency Band Values on the Performance of the Cosine Modulated Filter Bank Design

Subject Areas : Majlesi Journal of Telecommunication Devices

Gokcen Ozdemir Ozdemir ¹ , Murat Emre Erkoc ² , Nurhan Karaboga ³

1 - Department of Electrical and Electronics Engineering, Erciyes University, Kayseri, Turkey
2 - Department of Electrical and Electronics Engineering, Erciyes University, Kayseri, Turkey
3 - Department of Electrical and Electronics Engineering, Erciyes University, Kayseri, Turkey

Received: 2018-02-13 Accepted : 2018-02-18 Published : 2018-03-01

Keywords: en, cosine modulated filter bank, pass-band frequency, ABC Algorithm, stop-band frequency,

Abstract :

In this study, 16-channel cosine modulated filter bank is designed. In the proposed design, the coefficients of the prototype low-pass Finite Impulse Response filter with an N=64 filter order is optimized using Artificial Bee Colony Algorithm. In the presented study, different design examples are given with different frequency band values. Amplitude response error and transition band error values are obtained for each design examples. Via these examples, the effects of the change in transition and stopband frequencies on the performance of the designed filter bank is investigated. Simulation results show that determining frequency band values of prototype filter properly improves the performance of the filter bank and decreases the amplitude response error and transition band error values

References:

[1] P. P. Vaidyanathan, Multirate systems and filter banks: Prentice-Hall, Inc., 1993.

[2] A. Mertins, Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms, and Applications. England.: Wiley, 1999.

[3] H. S. Malvar, "Modulated Qmf Filter Banks with Perfect Reconstruction," Electronics Letters, vol. 26, pp. 906-907, Jun 21 1990.

[4] H. S. Malvar, "Extended Lapped Transforms - Properties, Applications, and Fast Algorithms," Ieee Transactions on Signal Processing, vol. 40, pp. 2703-2714, Nov 1992.

[5] T. A. Ramstad and J. P. Tanem, "Cosine-Modulated Analysis-Synthesis Filterbank with Critical Sampling and Perfect Reconstruction," Icassp 91, Vols 1-5, pp. 1789-1792, 1991.

[6] R. D. Koilpillai and P. P. Vaidyanathan, "New Results on Cosine-Modulated Fir Filter Banks Satisfying Perfect Reconstruction," Icassp 91, Vols 1-5, pp. 1793-1796, 1991.

[7] R. D. Koilpillai and P. P. Vaidyanathan, "Cosine-Modulated Fir Filter Banks Satisfying Perfect Reconstruction," Ieee Transactions on Signal Processing, vol. 40, pp. 770-783, Apr 1992.

[8] K. Shaeen and E. Elias, "Prototype Filter Design Approaches for Near Perfect Reconstruction Cosine Modulated Filter Banks - A Review," Journal of Signal Processing Systems for Signal Image and Video Technology, vol. 81, pp. 183-195, Nov 2015.

[9] G. Ozdemir and N. Karaboga, "A Review on the Meta-Heuristic Optimization Algorithms for Cosine Modulated Filter Banks," Artificial Intelligence Review, pp. 1-25, 2017.

[10] L. Milic, Multirate Filtering for Digital Signal Processing: MATLAB Applications: Information Science Reference - IGI Publishing, 2009.

[11] D. Karaboga, "An Idea Based on Honey Bee Swarm for Numerical Optimization," Technical Report-tr06, Erciyes University, Engineering Faculty, Computer Engineering Department, 2005.

[12] D. Karaboga, "Artificial bee colony algorithm," Scholarpedia, vol. 5, p. 6915, 2010.

[13] G. Ozdemir, N. Karaboga, and T. Koza, "Performance Comparison of Two Channel CMFB and QMF Bank Designed via ABC Algorithm," 2017 25th Signal Processing and Communications Applications Conference (Siu), 2017.

[14] H. Liu, Z. Yang, and Z. Cao, "Design perfect reconstruction cosine-modulated filter bank by variable neighbourhood search-least-mean-square error," Iet Signal Processing, vol. 6, pp. 273-280, May 2012.

[15] B. Kuldeep, A. Kumar, and G. K. Singh, "PSO based optimized fractional derivative constraints for designing M-Channel filter bank," in Signal Processing, Computing and Control (ISPCC), 2015 International Conference on, 2015, pp. 140-144.

[16] C. D. Creusere and S. K. Mitra, "A Simple Method for Designing High-Quality Prototype Filters for M-Band Pseudo Qmf Banks," Ieee Transactions on Signal Processing, vol. 43, pp. 1005-1007, Apr 1995.

[17] B. Kuldeep, A. Kumar, and G. K. Singh, "Design of Multi-channel Cosine-Modulated Filter Bank Based on Fractional Derivative Constraints Using Cuckoo Search Algorithm," Circuits Systems and Signal Processing, vol. 34, pp. 3325-3351, Oct 2015.