Abstract
The finite-impulse response (FIR) filter has revolutionised signal processing. It can be designed to have properties that an analogue filter can never achieve. FIR filters are preferred for many applications due to their linear phase and stability properties. The FIR filter is analysed and conditions for linear phase are first given. Then several methods for designing FIR filters are shown. These include the frequency sampling method, interpolation method and optimal design. It is shown that FIR filters can achieve performance with highly steep frequency domain transition edges and minimal passband ripple whilst still maintaining phase linearity.
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References
S.K. Mitra, Digital Signal Processing: A Computer Based Approach (McGraw-Hill, New York, USA, 2001)
A. Amarder, Analog and Digital signal processing, 2nd edn. (Brooks/Cole Publishing company, USA, 1999)
F. Harris, On the use of windows for harmonic analysis with the discrete fourier transform. Proc. IEEE 66(1), 51–83 (1978)
P.S.R. Diniz, E.A.B. Da Silva, S.L. Netto, Digital Signal Processing, system analysis and design, 2nd edn. (Cambridge University Press, Cambridge, UK, 2019)
L. Rabiner, K. Steiglitz, The design of wide-band recursive and nonrecursive digital differentiators. IEEE Trans. Audio Electroacoust. 18(2), 204–209 (1970)
A.V. Oppenheim, R.W. Schafer, Digital Signal Processing (Prentice Hall International Ltd, 1975)
L. Rabiner, R. Schafer, Recursive and nonrecursive realizations of digital filters designed by frequency sampling techniques. IEEE Trans. Audio Electroacoust. 19(3), 200–207 (1971). https://doi.org/10.1109/TAU.1971.1162185
T. Parks, J. McClellan, Chebyshev approximation for nonrecursive digital filters with linear phase. IEEE Trans. Cir. Theo. 19(2), 189–194 (1972). https://doi.org/10.1109/TCT.1972.1083419
E.Y. Remez, Sur la détermination des polynômes d'approximation de degré donnée. Comm. Soc. Math. Kharkov. 10 (1934)
J. McClellan, T. Parks, L. Rabiner, A computer program for designing optimum FIR linear phase digital filters. IEEE Trans. Audio Electroacoust. 21(6), 506–526 (1973)
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Moir, T.J. (2022). FIR Filter Design. In: Rudiments of Signal Processing and Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-76947-5_8
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DOI: https://doi.org/10.1007/978-3-030-76947-5_8
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