Abstract
Low-pass filters with critically monotone amplitude characteristic (CMAC) in the passband are subject of this chapter. Their unique property is that the first derivative of the amplitude characteristic touches zero (without changing its sign) in maximum number of points at the ω-axis. Unified theory of synthesizing their transfer functions will be given so creating the Butterworth, Papoulis (Legendre), Halpern, and LSM filters. Tables will be given (for the first time) containing data on the pole positions of these filters up to the 10th order. Properties of the attenuation characteristics of all CMAC functions will be studied and comparisons will be given based on several criteria including the passband and stopband behaviour. Comparisons will be given related to the group delay characteristics and time domain performance of all CMAC filters. Design example will be given. An alternative method for creating the CMAC characteristics will be cited.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Topisirović D, Litovski V, Andrejević Stošović M (2015) Unified theory and state-variable implementation of critical-monotonic all-pole filters. Circuit Theory Appl 43(4):502–515
Halpern P (1969) Optimum monotonic low-pass filters. IEEE Trans Circuit Theory 16(2):240–242
Butterworth S (1930) On the theory of filter amplifiers. Exp Wirel Wirel Eng 7(85):536–541
Papoulis A (1958) Optimum filters with monotonic response. Proc IRE 46(3):606–609
Papoulis A (1959) On monotonic response filters. Proc IRE 47(2):332–333
Fukada M (1959) Optimum filters of even orders with monotonic response. IRE Trans Circuit Theory 6(3):277–281
Raković BD, Litovski VB (1973) Least-squares monotonic low-pass filters with sharp cutoff. Electron Lett 9(4):75–76
Ralston A, Rabinowitz P (2001) A first course in numerical analysis. Dover Publications, New York
Andrejević Stošović M, Topisirović D, Litovski V (2019) Frequency and time domain comparison of selective polynomial filters with corrected phase characteristics. Int J Electron 106(5):770–784
Rabrenović D, Jovanović V (1971) L-Filters. Publikacije Elektrotehničkog fakulteta-serija ATA 56:41–46
Rabrenović D, Jovanović V (1974) Low-pass filters with maximally flat magnitude beyond the origin and arbitrary transmission zeros. Int J Circuit Theory Appl 2(1):83–87
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Litovski, V. (2019). Low-Pass Selective Filters with Critical Monotonic Amplitude Characteristic (CMAC) in the Passband. In: Electronic Filters. Lecture Notes in Electrical Engineering, vol 596. Springer, Singapore. https://doi.org/10.1007/978-981-32-9852-1_6
Download citation
DOI: https://doi.org/10.1007/978-981-32-9852-1_6
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9851-4
Online ISBN: 978-981-32-9852-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)