Abstract
In the spectral parameter approximation (SPA) technique, the frequency response of a variable filter is approximated by the frequency response of the Farrow structure which is used to implement the SPA-based filter. In this paper, we propose a new approach in the time domain for the design of variable cutoff frequency finite impulse response filter using the SPA technique. We first design the practical filters which satisfy the given transition bandwidth, passband ripple, and stopband attenuation specifications and then approximate the coefficients of these filters by the impulse response of the Farrow structure. Approximation problem is solved using the least-squares technique. Various design examples are presented to illustrate the feasibility and the effectiveness of the proposed time-domain approach when the desired specifications are stringent. Interesting observations regarding the desired cutoff frequency range, the order, and the number of the sub-filters in the Farrow structure are also presented.
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References
M.G. Bellanger, On computational complexity in digital transmultiplexer filters. IEEE Trans. Commun. 30(7), 1461–1465 (1982)
H.H. Dam, A. Cantoni, S. Nordholm, K.L. Teo, Variable digital filter with group delay flatness specification or phase constraints. IEEE Trans. Circuits Syst. II Express Br. 55(5), 442–446 (2008)
S.J. Darak, A.P. Vinod, E.M.K. Lai, J. Palicot, H. Zhang, Linear-phase VDF design with unabridged bandwidth control over the Nyquist band. IEEE Trans. Circuits Syst. II Express Br. 61(6), 428–432 (2014)
T.B. Deng, Weighted least-squares method for designing arbitrarily variable 1-D FIR digital filters. Signal Process. 80(4), 597–613 (2000)
T.B. Deng, Design of arbitrary-phase variable digital filters using SVD-based vector-array decomposition. IEEE Trans. Circuits Syst. I Regul. Pap. 52(1), 148–167 (2005)
B. Dumitrescu, B.C. Sicleru, R. Stefan, Positive hybrid real-trigonometric polynomials and applications to adjustable filter design and absolute stability analysis. Circuits Syst. Signal Process. 29(5), 881–899 (2010)
S.S. Kidambi, An efficient closed-form approach to the design of linear-phase FIR digital filters with variable-bandwidth characteristics. Signal Process. 86(7), 1656–1669 (2006)
A. Kumar, S. Suman, G.K. Singh, A new closed form method for design of variable bandwidth linear phase FIR filter using different polynomials. Int. J. Electron. Commun. 68(4), 351–360 (2014)
P. Lowenborg, H. Johansson, Minimax design of adjustable-bandwidth linear-phase FIR filters. IEEE Trans. Circuits Syst. I Regul. Pap. 53(2), 431–439 (2006)
C. Luo, J.H. McClellan, Adjustable bandwidth filter design with generalized farrow structure. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (2011)
C. Luo, L. Zhu, J.H. McClellan, A general structure for the design of adjustable FIR filters. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (2013)
C.K.S. Pun, S.C. Chan, K.S. Yeung, K.L. Ho, On the design and implementation of FIR and IIR digital filters with variable frequency characteristics. IEEE Trans. Circuits Syst. II Analog Digit. Signal Process. 49(11), 689–703 (2002)
L. Rabiner, J.H. McClellan, T.W. Parks, FIR digital filter design techniques using weighted Chebyshev approximation. Proc. IEEE. 63(4), 595–610 (1975)
G. Stoyanov, M. Kawamata, Variable digital filters. J. Signal Process. 1(4), 275–289 (1997)
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Dhabu, S., Vinod, A.P. A New Time-Domain Approach for the Design of Variable FIR Filters Using the Spectral Parameter Approximation Technique. Circuits Syst Signal Process 36, 2154–2165 (2017). https://doi.org/10.1007/s00034-016-0407-3
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DOI: https://doi.org/10.1007/s00034-016-0407-3