caa a22 4500 606205799 CHVBK 20210128101008.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00034-015-0008-6 doi (NATIONALLICENCE)springer-10.1007/s00034-015-0008-6 Design of Multi-channel Cosine-Modulated Filter Bank Based on Fractional Derivative Constraints Using Cuckoo Search Algorithm [Elektronische Daten] [B. Kuldeep, A. Kumar, G. Singh] In this work, a hybrid method is proposed for the design of uniform M-channel cosine-modulated banks. This method is based on the combination of a gradient- or slope-based optimization such as Lagrange multiplier method, and nature-inspired optimization technique called cuckoo search optimization. The prototype filter design problem for CM filter bank is formulated in frequency domain as sum of $$L_{2}$$ L 2 norm of error in passband, stopband and transition band at $$\pi /2M$$ π / 2 M frequency. Lagrange multiplier method is used to derive closed form expression for the optimized filter coefficients using fractional derivative constraints, and cuckoo search optimization technique is used for finding optimal fractional derivative constraints taking peak reconstruction error (PRE) as an overall objective function for M-channel CM filter bank. Performance of the proposed method is evaluated by passband error $$(\phi _\mathrm{p})$$ ( ϕ p ) , stopband error $$(\phi _\mathrm{s})$$ ( ϕ s ) , transition band error $$(\phi _\mathrm{t})$$ ( ϕ t ) , PRE, aliasing error $$(e_\mathrm{a})$$ ( e a ) , stopband attenuation $$(A_\mathrm{s})$$ ( A s ) and computational time. It was found that the proposed method gives better performance as compared to earlier existing techniques. Springer Science+Business Media New York, 2015 Filter bank nationallicence Cosine modulated nationallicence Cuckoo search nationallicence Fractional derivative nationallicence Lagrange multiplier method nationallicence Kuldeep B. Department of Electronics and Communication Engineering, PDPM-Indian Institute of Information Technology Design and Manufacturing, 482005, Jabalpur, India aut Kumar A. Department of Electronics and Communication Engineering, PDPM-Indian Institute of Information Technology Design and Manufacturing, 482005, Jabalpur, India aut Singh G. Department of Electrical Engineering, Indian Institute of Technology Roorkee, 247667, Roorkee, India aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/10(2015-10-01), 3325-3351 0278-081X 34:10<3325 2015 34 34 https://doi.org/10.1007/s00034-015-0008-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-015-0008-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuldeep B. Department of Electronics and Communication Engineering, PDPM-Indian Institute of Information Technology Design and Manufacturing, 482005, Jabalpur, India aut NATIONALLICENCE 700 1- Kumar A. Department of Electronics and Communication Engineering, PDPM-Indian Institute of Information Technology Design and Manufacturing, 482005, Jabalpur, India aut NATIONALLICENCE 700 1- Singh G. Department of Electrical Engineering, Indian Institute of Technology Roorkee, 247667, Roorkee, India aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/10(2015-10-01), 3325-3351 0278-081X 34:10<3325 2015 34 34