REFERENCES [1]. Antoniou (September 2005), “Digital Signal Processing: Signals Systems and Filters,” Mc GrawHill. [2]. A. Datar, A. Jain and P.C. Sharma (May 2010), “Design of Kaiser window based optimized prototype filter for cosine modulated filter banks,” Signal processing, vol. 90. no. 5, pp. 1742 - 1749. [3]. A. Eghbali, H. Johansson, and P. Lowenborg (March 2011), “Reconfigurable Nonuniform transmultiplexers using uniform modulated filter banks," IEEE Transactions on Circuits System- I, vol. 58, no. 3, pp. 539 - 547. [4]. A. Fettwis, J. A. Nossek and K. Merrkotter (August 1985), “Reconstruction of signals after filtering and sampling rate reduction,” IEEE Transactions on Acoustics, Speech and Signal Processing, vol. assp-33, no. 4, pp. 893 - 902. [5]. A. Jain and A. Goel (May 2011), “Unconstrained optimization method to design two channel quadrature mirror filter banks for image coding,” International Journal of Image Processing (IJIP), vol. 5, no. 1, pp. 46 - 57. [6]. A. Kumar, G. K. Singh, and R. S. Anand (May 2009), “Design of Quadrature Mirror Filter Bank using Particle Swarm Optimization (PSO),”International Journal of Recent Trends in Engineering, vol. 1, no. 3, pp. 213 - 217. [7]. A. Kumar, G. K. Singh and R. S. Anand (May 2011), “A simple design method for the cosinemodulated filter banks using weighted constrained least square technique,” Journal of Franklin Institute, vol. 348, no.4, pp. 606 - 621. [8]. A. Lim, H. H. Dam and S. Nordholm (October 2005), “Filter bank design for DFT based transmultiplexers,” Proceeding of IEEE International Conference on Communications, Perth, Western Australia, Asia-Pacific, pp. 965 - 968. [9]. A N. Akansu, P. Duhamel, X. Lin, and M. Courville (April 1998), “Orthogonal transmultiplexers in communication: A review, IEEE Transactions on Signal Processing, vol. 46, no. 4, pp. 979 - 995. [10]. A. T. Al-Awami, A. Zerguine, L. Cheded, A. Zidouri and W. Saif (March 2011), “A new modified particle swarm optimization algorithm for adaptive equalization,” Digital Signal Processing, vol. 21, no. 2, pp. 195 - 207. [11]. A.V. Oppenheim and R.W. Shafer (1989), “Discrete-Time Signal Processing,” Englewood Cliffs, NJ: Prentice Hall. [12]. A. Viholainen, J. Alhava and M. Renfors (April 2006), “Efficient Implementation of Complex Modulated Filter Banks Using Cosine and Sine Modulated Filter Banks,” EURASIP Journal on Advances in Signal Processing, vol. 2006, pp. 1 - 10. [109] [13]. A. W. Crooke and J. W. Craig (October 1972), “Digital filters for sample-rate reduction,” IEEE Transactions on Audio Electronics, vol. AU 20, pp. 308 - 315. [14]. B. Miguel, J Furtado and P. S. R. Diniz (November 2005), “On the Design of High-Complexity Cosine-Modulated Transmultiplexers Based on the Frequency-Response Masking Approach,” IEEE Transactions on Circuit and Systems, vol. 52, no. 11, pp. 324 - 335. [15]. B. Suter (October 1997), “Multirate and Wavelet Signal Processing,” Academic Press. [16]. B. W. Wah, Yi Shang and Z. Wu (September 1999), “Discrete Lagrangian Methods for Optimizing the Design of Multiplier-less QMF Banks,” IEEE Transactions on Circuits and Systems—II: analog and digital signal processing, vol. 46, no. 9, pp. 1179 - 1191. [17]. B. Zagar (April 2009), “Signal Processing, Pattern Recognition and Applications,” Acta Press. [18]. C. B. Ribeiro, M. L. R. De Campo and P. S. R. Diniz (March 2009), “Time-varying FIR transmultiplexers with minimum redundancy,” IEEE Transactions on Signal Processing, vol. 57, no. 3, pp.1113 - 1127. [19]. C. C. Teng, J.P. Fonseka and E.M. Dowling (April 2009), “Non-coherent detectors for quadraturemultiplexed continuous phase modulation signals,” IET journal of Communications, vol. 3, no. 4, pp. 610 - 619. [20]. C. D. Creusere and H. J. Nussbamaumer (June 1984), “New Quadrature mirror filter structures,” IEEE Transactions on Acoustics, Speech and Signal Processing, vol. ASSP-32, pp. 522 -5 31. [21]. C. D. Creusere and S. K. Mitra (April 1995), “A simple method for designing high-quality prototype filters for M-band pseudo QMF banks,” IEEE Transactions on Signal Processing, vol. 43, no. 4, pp. 1005-1007. [22]. C. Huang, G. Li, Z. Xu, A. Yu and L. Chang (April 2012), “Design of optimal digital lattice filter structures based on genetic algorithm,” Signal Processing, vol. 92, no. 4, pp. 989 - 998. [23]. C.K. Chen and J. Lee (September 1992), “Design of quadrature mirror filters with linear phase in the frequency domain,” IEEE Transactions on Circuit and System-II, Analog and Digital Signal processing vol. 39, no. 9, pp. 593 - 605. [24]. C.W.Kok, W.C. Siu and Y.M. Law (October 2008), “Peak constrained least-squares QMF banks,”Signal Processing, vol. 88, no. 10, pp. 2363 - 2371. [25]. C. Y. F. Ho, B. W. K. Ling, Y.Q. Liu, P. K. S. Tam and K.L. Teo (July 2005), “Optimal design of nonuniform FIR transmultiplexer using semi-infinite programming,” IEEE Transactions on Signal Processing, vol. 53, no. 7, pp. 2598 - 2603. [26]. C.Y.F, Ho, B. W. K. Ling , L. Benmesbah , T. C. W. Kok, W.C. Siu and K. L. Teo (August 2010), “ Two-channel linear phase FIR QMF bank minimax design via global non convex optimization programming,” IEEE Transactions on Signal Processing, vol. 58, no. 8, pp. 4436 - 4441. [110] [27]. C.Z. Wu and K.L. Teo (July 2011), “Design of discrete Fourier transform modulated filter bank with sharp transition band,” IET Signal Processing, vol. 5, no. 4, pp. 433 - 440. [28]. D. Esteban and C. Galand (May1977), “Application of Quadrature Mirror Filters to Split Band Voice Coding Schemes,” Proceeding of IEEE International Symposium on Acoustics, Speech and Signal Processing, Hartford, Connecticut, USA, pp.191-195. [29]. D.J. DeFatta, J. C. Lucas and W. S. Hodgkiss (1995), “Digital Signal Processing, A system design approach, John Wiley & Sons, Singapore. [30]. F. Argenti, B. Brogelli and E. D. Re (June 1998), “Design of pseudo-QMF banks with rational sampling factors using several prototype filters” IEEE Transactions on Signal Processing, vol. 46, no. 6, pp.1709 - 1715. [31]. F. C. Roldan, P. A. Lopez, P. M. Martin and F. L. Ferreras (October 2001), “Alternating analysis and synthesis filters: A new pseudo-QMF bank,” Digital Signal Processing, vol. 11, no. 4, pp. 329 345. [32]. F C. Roldán, P. A. Lopez, S. M. Bascon and S. S. Lawson (January 2002), “An efficient and simple method for designing prototype filters for cosine-modulated pseudo-QMF banks,” IEEE Signal Processing Letters 39, vol. 9, no. 1, pp. 29 - 32. [33]. F. C. Roldan, A. M. Bravo-Santos, P. M. Martin and R. J. Martinez (May 2003), “Design of multichannel near-perfect-reconstruction transmultiplexers using cosine-modulated filter banks,” Signal Processing, vol. 83, no. 5, pp. 1079 – 1091. [34]. F. C. Roldán and M. M. Prim (September 2004), “Efficient implementation of nearly perfect reconstruction FIR cosine-modulated filter banks” IEEE Transactions on Signal Processing, vol. 52, no. 9, pp. 2661 - 2664. [35]. F. C. Roldán, P. M. Martín, J. S. Landete, M. Blanco-Velasco and T. Saramaki (November 2005), “ A fast windowing-based technique exploiting spline functions for designing modulated filter banks,” IEEE Transactions on Circuit and Systems –I, vol. 56, no. 1, pp.168 - 178. [36]. F. C. Roldan, F. L. Ferrera, M. R. Zurera and J. D. O. Campo (March 2011), “Pseudo-QMF bank design with controlled in-band aliasing,” Signal Processing, vol.81, no.3, pp. 505-517. [37]. F. D. Beaulieu and B. Champagne (January 2009), “Design of prototype filters for perfect reconstruction DFT filter bank transceivers,” Signal Processing, vol. 89, no. 1, pp. 87 - 98. [38]. F. Grenez (February 1988), “Chebyschew design of filter for sub-band coder,” IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 36, no. 2, pp. 182 - 185. [39]. F. J. HARRIS (January 1978), “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proceeding of IEEE, vol. 66, no. 1, pp. 51-83. [111] [40]. F. J. HARRIS (May 2004), “Multirate Signal Processing for Communication Systems,” Prentice Hall. [41]. F. Mintzer (June 1985), “Filters for distortion-free two-band multirate filter banks”, IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 33, no. 3, pp. 626 - 630. [42]. G. A. Nelson, L. L. Pfeifer and R. C. Wood (March 1972), “High-speed octave band digital filtering,” IEEE Transactions on Audio and Electro acoustics, vol. 20, no. 1, pp. 8 - 65. [43]. G. Cherubini, E. Eleftheriou, and S. Olcer (June 2002), “Filtered multitone modulation for very highspeed digital subscriber lines,” IEEE Journal on selected areas in Communications, vol. 20, no. 5, pp. 1016 - 1028. [44]. G. Gu and E. F. Badran (February 2004), “Optimal design for channel equalization via the filter bank approach,” IEEE Transactions on Signal Processing, vol. 52, no. 2, pp.536 - 544. [45]. G. Oetken, T. W. Parks and H. W. Schussler (June 1975), “New results in the design of digital interpolators,” IEEE Transactions on Acoustics, Speech and Signal Processing, vol. ASSP-23, no. 3, pp. 301 - 309. [46]. G. R. Norbert and J. Fliege (May 1995), “Transmultiplexer filter banks with extremely low crosstalk and inter symbol interference,” Proceeding of IEEE International Symposium on Circuit and Systems, vol. 2, Washington, USA, pp. 1448 - 1451. [47]. G. Shi, X. Xie, X. Chen and W. Zhong (June 2006), “Recent Advances and New Design Method in Nonuniform Filter Banks,” Proceeding of IEEE International Conference on Communications, Circuit and Systems, Guilin, China, pp. 211 - 215. [48]. G. Wang (March 2008), “Analysis of M-channel time-varying filter banks,” Digital Signal Processing, vol. 18, no. 2, pp. 127 -147. [49]. G. Wang (September 2009), “Time-varying discrete-time signal expansions as time-varying filter banks,” IET Signal Processing, vol. 3, no. 5, pp. 353 - 367. [50]. G. Wang, Z. Zhang and Q. Chen (December 2010),“Analysis and properties of time-varying modified DFT filter banks,” EURASIP Journal on Advances in Signal Processing, vol. 2010, pp.1-15. [51]. I. D. Alkhawaldeh (November 2005), “Performance analysis of a TDM – FDM transmultiplexer used in communications network,” European Journal of Scientific Research, vol.51, no.3, pp.526 - 532. [52]. I. R. Khan (March 2010), “Flat magnitude response FIR half band low/high pass digital filters with narrow transition bands,” Digital Signal Processing, vol. 20, no. 2, pp. 328 - 336. [53]. H. Hassanpour (September 2008), “A time–frequency approach for noise reduction,” Digital Signal Processing, vol. 18, no. 5, pp. 728 - 738. [112] [54]. H. H. Kha, H. D. Tuan and T. Q. Nguyen (March 2009), “Efficient design of cosine-modulated filter banks via convex optimization,” IEEE Transactions on Signal Processing, vol. 57, no. 3, pp. 966 976. [55]. H. S. Malvar (June 1990), “Modulated QMF filter banks with perfect reconstruction,” IEEE Electronics Letters, vol. 26, no. 26, pp. 906 - 907. [56]. H. Xu, W. S. Lu and A. Antoniou (May 1998), “An improved method for the design of FIR quadrature mirror-image filter banks,” IEEE Transactions on Signal Processing, vol. 46, no. 5, pp. 1275 - 1281. [57]. J. A. C. Bingham (May 1990), “Multicarrier modulation for data transmission,” IEEE Communications Magazine, vol. 28, no. 5, pp. 5 - 14. [58]. J.D. Gordana (2002), “Multirate Systems: Design and Applications,” Idea Group Publishing. [59]. J. D. Johnston (April 1980), “A filter family designed for use in quadrature mirror filter banks,” Proceeding of IEEE International Conference on Acoustics, Speech and Signal Processing, Denver, Colorado, USA, pp. 291 - 294. [60]. J. Huang and G. Gu (August 1998), “A direct approach to the design of QMF banks via frequency domain optimization”, IEEE Transactions on Signal Processing, vol. 46, no. 8, pp. 2131 - 2138. [61]. J.H. Lee and Y. H. Yang (March 2009), “Two-channel quincunx QMF banks using two-dimensional digital all-pass filters," IEEE Transactions on Circuits and Systems- I, vol. 56, no. 12 pp. 2644 - 2654. [62]. J.H. Lee and Y. H. Yang (September 2010), “Two-channel parallelogram QMF banks using 2-D NSHP digital all-pass filters,” IEEE Transactions on Circuits and Systems I: vol. 57, no.9, pp. 24982508. [63]. J. H. Reed (January 2008), “Multirate Signal Processing,” Prentice Hall. [64]. J. H. Rothweiler (April 1983), “POLYPHASE QUADRATURE FILTERS — A new sub-band coding technique,” Proceeding of IEEE Symposium on Acoustics, Speech and Signal Processing, Boston MA, pp. 1980 - 1983. [65]. J. I. Ababneh and M. H. Bataineh (July 2008), “Linear phase FIR filter design using particle swarm optimization and genetic algorithms,” Digital Signal Processing, vol. 18, no. 4, pp. 657 - 668. [66]. J. K, Gautam, A. Kumar and Rajiv Saxena (May-June 1995), “Windows: A tool in signal processing,” IETE Technical Review, vol. 12, no. 3, pp 217 - 226. [67]. J. K, Gautam, A. Kumar and Rajiv Saxena (August 1996), “On the modified Bartlett-Hanning window (family),” IEEE Transactions on Signal Processing, vol. 44, no. 8, pp. 2098 - 2102. [68]. J.J. Shyu, S.C. Pei and Y.D Huang (August 2011), “An iterative approach for minimax design of multidimensional quadrature mirror filters,” Signal Processing, vol. 91, no. 8, pp. 1730 - 1740. [113] [69]. J. L. H. Webb and David C. Munson (August 1996), “A new approach to designing computationally efficient interpolated FIR filters,” IEEE Transactions on Signal Processing, vol. 44, no. 8, pp. 1923 1931. [70]. J. Li, T. Q. Nguyen and S. Tantaratana (August 1997), “A simple design method for near-perfectreconstruction nonuniform filter banks” IEEE Transactions on Signal Processing, vol. 45, no. 8. pp. 1015 – 1019. [71]. J. P. Princen and A. B. Bradley (October 1986), “Analysis/synthesis filter bank design based on time domain aliasing cancellation,” IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 34, no. 5, pp. 1153 - 1161. [72]. J. Upendar, C.P. Gupta and G.K. Singh (March 2010), “Design of two-channel quadrature mirror filter bank using particle swarm optimization,” Digital Signal Processing, vol. 20, no. 2, pp. 304 313. [73]. J. W. Woods (June 2011), “Multidimensional Signal, Image, and Video Processing and Coding,” 2 nd Edition, Academic Press. [74]. J.Z. Jiang and P.L. Shui (December 2010), “Design of 2D linear phase DFT modulated filter banks using bi-iterative second-order cone program,” Signal Processing, vol. 90, no. 12, pp. 3065 - 3077. [75]. K. Avci and A. Nacaroglu (November 2009), “Cosh window family and its application to FIR filter design,”AEU - International Journal of Electronics and Communications, vol. 63, no. 11, pp. 907 916. [76]. L. Lin and B. F. Boroujeny (July 2006), “Cosine modulated multitone for very high-speed digital subscriber lines,” Euraship journal of applied signal processing, vol. 2006, pp. 345 - 348. [77]. L. Milic (January2009), “Multirate Filtering for Digital Signal Processing: Matlab Applications, 1st Edition, Gale Virtual Reference Library. [78]. M. B. Joaquim and C. A.S. Lucietto (December 2011), “A nearly optimum linear-phase digital FIR filters design,” Digital Signal Processing, vol.21, no.6, pp.690 - 693. [79]. M. G. Ballanger and J. L. Dauget (September 1974), “TDM-FDM Transmultiplexer: Digital Polyphase and FFT”, IEEE transactions on communications, vol. 22, no. 9, pp. 1199 - 1205. [80]. M. M. Kashtiban and M. G. Shayesteh (August 2011), “New efficient window function, replacement for the hamming window,” IET Communication Journal, vol. 5, no. 5, pp. 499 - 505. [81]. M. Najim (January 2010), “Digital Filters Design for Signal and Image Processing,” Wiley-ISTE. [82]. M. Vitterli (April 1986), “Perfect transmultiplexers,” Proceeding of IEEE International Conference on Acoustics, Speech and Signal Processing, (ICASSP), Japan, pp. 2567 - 2570. [83]. N. J. Fliege (January 2000), “Multirate Digital Signal Processing: Multirate Systems - Filter Banks – Wavelets,” John Wiley & Sons, Singapore. [114] [84]. N. Rayavarapu and N. R. Prakash (February 2010), “An Efficient IFIR filter based prototype filter design for cosine modulated transmultiplexers,” Proceeding of IEEE International Conference on Signal Acquisition and Processing, Bangalore, India, pp. 315 - 318. [85]. O.P. Sahu , M.K. Soni and I.M. Talwar (November 2006), “Marquardt optimization method to design two-channel quadrature mirror filter banks,” Digital Signal Processing, vol. 16, no. 6, pp. 870 -879. [86]. O. S. Jahromi (March 2007), “Multirate statistical signal processing,” Springer. [87]. P. L. Chu (February 1985), “Quadrature mirror filter design for an arbitrary number of equal bandwidth channels,” IEEE transactions on Acoustics, Speech and Signal processing, vol. 33, no. 1, pp. 203 - 218. [88]. P. M. Martin, F. Cruz-Roldán and T. Saramaki (September 2003), “A windowing approach for designing critically sampled nearly perfect- reconstruction cosine-modulated transmultiplexers and filter banks”, Proceedings of the 3rd International conference on Image and Signal Processing and Analysis, vol. 2, Rome, Italy, pp. 755 - 760. [89]. P. M. Martin, F. Cruz-Roldán and T. Saramaki (May 2005), “Optimized transmultiplexers for multirate systems,” Proceeding of IEEE International Symposium on Circuits and Systems, vol. 2,Kobe, Japan, pp. 1106 - 1109. [90]. P. M. Martin, R. Bregovic, A. M. Marcos, F. C. Roldán and T. Saramaki (October 2008), “A generalized window approach for designing transmultiplexers,” IEEE Transactions on Circuits and System I, vol. 55, pp. 2696 - 2706. [91]. P.N. Heller, T. Karp, and T. Q. Nguyen (January 1999), “A general formulation of modulated filter banks”, IEEE Transactions on Signal processing, vol. 47, no. 4, pp. 986 -1002. [92]. P. P. Vaidyanathan (April 1987), “Theory and design of A4-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property,” IEEE transactions on Acoustics, Speech, and Signal Processing, vol. 35, no. 4, pp. 476 - 492. [93]. P. P. Vaidyanathan and T. Q. Nguyen (January 1987), “Eigen filters: A new approach to leastsquares FIR filter design and applications including Nyquist filters”, IEEE Transactions on Circuits and Systems, vol. 34, no. 1, pp. 11 - 35. [94]. P. P. Vaidyanathan (July 1987), “Quadrature mirror filters M band extensions and perfectreconstruction techniques,” IEEE ASSP magazine, vol. 4, no. 3, pp. 4 - 20. [95]. P. P. Vaidyanathan (1993), “Multirate Systems and filter banks,” Prentice Hall, Englewood Cliffs, NJ. [115] [96]. P.Q. Hoang and P.P. Vaidyanathan (May 1989), “Non-uniform multirate filter banks: Theory and design,” Proceeding of IEEE International Symposium on Circuits and Systems, pp. 370 - 374, Portland, Oregon. [97]. P. Saghizadeh and A. N. Willson (June 1998), “A new approach to the design of critically sampled channel uniform-band perfect-reconstruction linear-phase FIR filter banks,” IEEE Transactions on Signal Processing, vol. 46, no. 6, pp. 1544 - 1557. [98]. P.S. Kim (May2010), “An alternative FIR filter for state estimation in discrete-time systems,” Digital Signal Processing, vol. 20, no. 3, pp. 935 - 943. [99]. P. S. R. Diniz, L. C. R. D. Barcellos and S. L. Netto (May 2004), “Design of high-resolution cosinemodulated transmultiplexers with sharp transition band”, IEEE Transactions on Signal Processing, vol. 52, no. 5, pp. 1278 - 1288. [100]. R. A. Meyer and C. S. Burrus (March 1975), “A unified analysis of multirate and periodically timevarying digital filters,” IEEE Transactions on Circuits and Systems, vol. 22, no. 3, pp. 162 - 168. [101]. R. Bregovid and T. Saramaki (May 2000), “ A new method for the design of two-channel perfect reconstruction linear-phase FIR filter banks,” Proceeding of IEEE International conference on Circuits and Systems, Geneva, Switzerland, pp. 639 - 642. [102]. R. Bregovic and T. Saramaki (July 2003), “A general-purpose optimization approach for designing two-channel FIR filter banks,” IEEE Transactions on Signal Processing, vol. 51, no. 7, pp. 1783 1791. [103]. R. D. Koilpillai, T. Q. Nguyen and P. P. Vaidyanathan (October 1991), “Some results in the theory of crosstalk-free transmultiplexers,” IEEE Transactions on Circuits and Systems, vol. 39. no. 10, pp. 2174 - 2183. [104]. R. D. Koilpillai and P. P. Vaidyanathan (April 1992), “Cosine-modulated fir filter banks satisfying perfect reconstruction,” IEEE Transactions on Signal Processing, vol. 40, no. 4, pp.770 - 783. [105]. R. E. Crochiere and L. R. Rabiner (October 1975), “Optimum FIR digital filter implementations for decimation, interpolation, and narrow-band filtering”, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 23, no. 5. pp.444 - 456. [106]. R. E. Crochiere and L. R. Rabiner (1993), “Multirate signal processing,” Prentice Hall, Englewood Cliffs, NJ. [107]. R. Gandhi, and S. K. Mitra (June 1998), “A Computationally Efficient Design of Two-Band QMF Banks Based on the Frequency Sampling Approach,” IEEE Symposium on Circuits and Systems, pp. 421 - 424. [116] [108]. R. Maheshwari, M. Bharadia and M. Gupta (August 2010), “Multirate DSP and its technique to reduce the cost of the analog signal conditioning filters,” International Journal of Computer Applications, vol. 4, no. 10, pp. 37 - 44. [109]. R. Prasad and R. Van (2000), “OFDM for wireless multimedia communications,” Artech House Publishers. [110]. R. Qahwaji (January 2011), Roger Green and E. Hines, “Applied Signal and Image Processing: Multidisciplinary Advancements,” Igi Global. [111]. R. R. Shively (August 1975), “On multistage finite impulse response (FIR) filters with decimation” IEEE Transactions on Acoustics, Speech, and Signal processing, vol. 23, no. 4, pp. 353 - 357. [112]. R. V. Cox (October 1986), “The design of uniformly and non-uniformly spaced pseudo quadrature mirror filters,” IEEE Transactions on Acoustics, Speech, and Signal processing, vol. 34. no. 5, pp. 1090 - 1096. [113]. R. W. Schafer and L. R. Rabiner (June 1973), “A digital signal processing approach to interpolation” Proceedings of IEEE, vol. 61, no. 6, pp. 692 - 702. [114]. S.J. Akkarakaran and P. P. Vaidyanathan (March 1999), “New results and open problems on nonuniform filter-banks,” Proceedings of IEEE International Conference on Acoustics, Speech, and Signal processing vol. 3, Phoenix, USA, pp. 1501 - 1504. [115]. S. L. Freeny, R. B. Kieburtz, K. V. Mina and S. K. Tewicsbury (December 1971), “Systems analysis of a TDM-FDM translator/digital a – type channel bank,” IEEE Transactions on Communication Technology, vol. 19, no. 6, pp. 1050 - 1059. [116]. Sanjit Mitra (2005), “Digital Signal Processing,” Tata McGraw-Hill. [117]. S. M. S. Alam and M.. T. Hasan (December 2009), “Performance analysis of FIR filter design by using optimal, Blackman window and frequency sampling methods,” International Journal of Electrical & Computer Sciences IJECS-IJENS, vol. 10, no. 01, pp.13 - 18. [118]. S. N. Sharma, R. Saxena and S. C. Saxena (October 2004), “Design of FIR filter using variable window families: A comparative study,” Journal of the Indian Institute of Science, IISc Bangalore, no. 84, pp. 155 - 161, [119]. S. Nalbalwar, S.D. Joshi and R.K. Patney (August 2008), “On characterization of linear phase nonuniform filter banks,” Signal Processing, vol. 88, no. 8, pp. 1980-1989. [120]. S. S. Yin, S. C. Chan and K. M. Tsui (June 2008), “On the design of nearly-PR and PR FIR cosine modulated filter banks having approximate cosine-roll off transition band,” IEEE Transactions on Circuits and Systems II, vol. 55, no. 6, pp. 571 - 575. [121]. S.W.A. Bergen (May 2008), “A design method for cosine-modulated filter banks using weighted constrained-least-squares filters,” Digital Signal Processing, vol. 18, no. 3, pp. 282 - 290. [117] [122]. S.Y. Park and N. I. Cho (February 2008), “Design of multiplier less lattice QMF: structure and algorithm development,” IEEE Transactions on Circuits and Systems II, vol. 55, no. 2, pp.173 - 177. [123]. T.A. Ramstad and J. P. Tanem (May 1991), “Cosine-modulated analysis-synthesis filter bank with critical sampling and perfect reconstruction,” Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, vol. 3, pp. 1789 - 1792, Toronto, Canada. [124]. T.A. Ramstad (May1996), “Analysis/synthesis filter banks with critical sampling,” Proceedings of IEEE International Conference on Acoustics, Speech, and Signal processing, vol.3, Atlanta, USA, pp. 1523 - 1526. [125]. T. Nagai, T. Fuchie and M. Ikehara (September 1997), “Design of linear phase –channel perfect reconstruction fir filter banks”, IEEE Transactions on Signal Processing, vol. 45. no. 9, pp. 2380 2387. [126]. T. Q. Nguyen and P. P. Vaidyanathan (May 1988), “Maximally decimated perfect-reconstruction fir filter banks with pair wise mirror-image analysis (and synthesis) frequency responses”, IEEE Transactions on Acoustics, Speech and Signal processing, vol. 36, no.5, pp. 693 - 706. [127]. T. S. Reddy and G. R. Reddy (July 2010), “Spectral analysis of atmospheric radar signal using filter banks — polyphase approach,” Digital Signal Processing, vol. 20, no. 4, pp.1061 - 1071. [128]. V. K Jain and R. E. Crochiere (April 1984), “Quadrature mirror filter design in the time domain”, IEEE Transactions on Acoustics, Speech, and Signal processing, vol. 32, no. 2, pp. 353 - 361. [129]. V.J. Manoj, Elias Elizabeth (November 2009), “Design of multiplier-less non-uniform filter bank transmultiplexer using genetic algorithm,” Signal Processing, vol. 89, no. 11, pp. 2274 - 2285. [130]. V.J. Manoj and Elias Elezabeth (February 2010), “Design of low complexity cosine modulated filter bank transmultiplexer for unknown channels,” The IUP Journal of Telecommunications, vol. 2, no. 1, pp. 20 - 34. [131]. W.S. Lu, T. Saramaki and Robert Bregovic (March 2004), “Design of practically perfectreconstruction cosine- modulated filter banks: a second-order cone programming approach”, IEEE Transactions on Circuits and Systems I, vol. 51, no. 3, pp.552 - 562. [132]. X. M. Xie, S. C. Chan, and T. I. Yuk (September 2005), “Design of perfect-reconstruction nonuniform recombination filter banks with flexible rational sampling factors”, IEEE Transactions on Circuits and Systems, vol. 52, no. 9, pp. 1965 - 1981. [133]. Y. C. Lim, R. Yang, D. Li and J. Song (May 1999), “Signed power-of-two term allocation scheme for the design of digital filters”, IEEE Transactions on Circuits and Systems, vol. 46, no. 5, pp. 577 - 584. [134]. Y. Neuvo, C.Y. Dong and S. K. Mitra (June 1984), “Interpolated finite impulse response filters,” IEEE Transactions on Acoustics, Speech, and Signal processing, vol. 32, no. 3, pp. 563 - 570. [118] [135]. Y.P. Lin and P. P. Vaidyanathan (June 1998), “A Kaiser Window Approach for the Design of Prototype Filters of Cosine Modulated Filter banks,” IEEE Signal Processing Letters, vol. 5, no. 6, pp. 132 - 134. [136]. Y. S. Shmaliy, J. M.Diaz, L. A.Miquel (September 2008), “Optimal horizons for a one-parameter family of unbiased FIR filters,” Digital Signal Processing, vol. 18, no. 5, pp.739 - 750. [137]. Z. F. Zhou, Y.Y. Cheng and P. Shui (October 2008), “Construction of 2-D directional filter bank by cascading checkerboard-shaped filter pair and CMFB,” Signal Processing, vol. 88, no. 10, pp. 2500 2510. [138]. Z. Xu and A. Makur (January 2010), “On the closeness of the space spanned by the lattice structures for a class of linear phase perfect reconstruction filter banks,” Signal Processing, vol. 90, no. 1, pp. 292 - 302. ******************************************************* [119]