Optimum Monotonic Low-Pass Filters

Halpern, P.

doi:10.1109/tct.1969.1082945

Cited by 35 publications

(11 citation statements)

References 2 publications

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“…This means the higher order coefficient in the denominator polynomial has to be maximal. This class of filters was introduced by Halpern [10]. These will be here referred to as H-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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“…This means the higher order coefficient in the denominator polynomial has to be maximal. This class of filters was introduced by Halpern [10]. These will be here referred to as H-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 the case of an all-pole filter, it is an even polynomial of the angular frequency ω. Halpern [2] proposed to write it in the following form:…”

Section: The Critical-monotonic All-pole Amplitude Characteristicmentioning

confidence: 99%

“…This means the higher order coefficient in L n (ω 2 ) has to be maximal. This class of filters was introduced by Halpern [2]. These will be here referred to as H-filters.…”

Section: The Synthesis Criteriamentioning

confidence: 99%

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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“…When all other values are included using the expression (7) then (8) with Qg=r4>o4>~W~00 Values of Qo for six different polynomial filters of fifth and seventh orders are tabulated in the Table (Halpern 1969, Rabrenovic and Jovanovic 1980, 1981 …”

Section: Correlation Between Sensitivity and The Slope Of The Magnitudementioning

confidence: 99%

Estimation of sensitivity performance using a new parameter

Jovanovic

Rabrenovic

1985

International Journal of Electronics

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A new parameter which essentially includes the average slope <1/, of the magnitude characteristic in the pass band of the filter is introduced. It is shown that there is a strong correlation between the sensitivity of the filter magnitude and the value of the integral parameterNow it becomes possible to estimate the sensitivity performances of various filters, without the actual computation of filter elements.

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Optimum Monotonic Low-Pass Filters

Cited by 35 publications

References 2 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

Estimation of sensitivity performance using a new parameter

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