Least-squares monotonic lowpass filters with sharp cutoff

Rakovich, B.D.; Litovski, Vančo

doi:10.1049/el:19730056

Cited by 25 publications

(9 citation statements)

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“…In this case, the returned power in the pass-band was minimized under the critical monotonicity criterion. This class was introduced by Raković and Litovski [11] and named LSM filters.…”

Section: Monotonic Pass-band Amplitude Polynomial Filters In the S-domentioning

confidence: 99%

IIR digital filters with critical monotonic pass-band amplitude characteristic

Mirković

Stošović

Petković

et al. 2015

AEU - International Journal of Electronics and Communications

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“…In this case, the returned power in the pass-band was minimized under the critical monotonicity criterion. This class was introduced by Raković and Litovski [11] and named LSM filters.…”

Section: Monotonic Pass-band Amplitude Polynomial Filters In the S-domentioning

confidence: 99%

IIR digital filters with critical monotonic pass-band amplitude characteristic

Mirković

Stošović

Petković

et al. 2015

AEU - International Journal of Electronics and Communications

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“…In this case, the returned power in the pass-band was minimized under the critical monotonicity criterion. This class was introduced by Raković and Litovski [7] and named LSM filters.…”

Section: The Synthesis Criteriamentioning

confidence: 99%

“…Finally, in [16], the LSM filters were rediscovered after 27 years. Namely, while considering [7] the author claims: 'The coefficients of these filters are obtained by solving a set of nonlinear equations using Newton-Raphson iterative techniques. Such methods are computationally very expensive.…”

Section: The Synthesis Criteriamentioning

confidence: 99%

“…After a glimpse to the proposed alternative one can, however, easily conclude that all the steps (with equal complexity) included in Newton-Raphson procedure are involved while, in every iteration, several new are added. Only C vector for 10th-order characteristic function was presented (already published in [7]) and no pass-band characteristic of the filter function was given! No new data about the LSM filters was generated.…”

Section: The Synthesis Criteriamentioning

confidence: 99%

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Unified theory and state‐variable implementation of critical‐monotonic all‐pole filters

Topisirović

Litovski

Stošović

2013

Circuit Theory & Apps

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SUMMARYThe subject of synthesis of critical-monotonic low-pass amplitude characteristics will be revisited. Several new contributions will be given in order to: facilitate the choice of the proper transfer function, to allow cataloguing the transfer functions, to simplify the circuit synthesis procedure, and to perform synthesis in the form of a statevariable continuous time active filter. Four main criteria for transfer function synthesis will be implemented: maximally flat at the origin, maximum slope at the band-edge, maximal asymptotic attenuation, and minimal amplitude distortion in the pass-band. For every criterion, a class of filters will be generated and the coefficients of the transfer functions will be calculated and published for the first time (with one exception). Properties of the classes so generated will be quantitatively compared for the first time. The state-variable structure will be advised as the one with the simplest synthesis procedure. The procedure will be explained and the design process will be exemplified. Statistical tolerance analysis will be performed for the example solutions in order to complete the information for comparison.

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“…The main references [5][6][7][8][9][10][11] indicate that the development of Butterworth filters was dedicated to the filters of monotonic (in the pass-band) amplitude-frequency response with some improvements at the pass-band edge and in the stop-band. The Bessel polynomial filters did not have any noticeable development (the reasons for this are discussed at the end of this paper).…”

Section: Introductionmentioning

confidence: 99%

Stokes polynomial filters

Filanovsky

2012

2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS)

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The paper considers a new class of filters with transfer functions using the polynomials introduced by the British physicist Sir G.G. Stokes. The filters are transitional between Bessel and Butterworth ones. When one compares the step-responses of Bessel, Stokes, and Butterworth filters of the same order and the same -3dB bandwidth then the result is following. The Bessel filters have a certain delay and (practically) no overshoot in their step-transient response. The Stokes filters have larger delay than Bessel filters and a small overshoot. Finally, the Butterworth filters have largest delay and largest overshoot. The paper illustrates these properties and describes the data required for synthesis of the Stokes filters.

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Least-squares monotonic lowpass filters with sharp cutoff

Cited by 25 publications

References 0 publications

IIR digital filters with critical monotonic pass-band amplitude characteristic

IIR digital filters with critical monotonic pass-band amplitude characteristic

Unified theory and state‐variable implementation of critical‐monotonic all‐pole filters

Stokes polynomial filters

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