A Low-Pass Prototype Network for Microwave Linear Phase Filters

Rhodes, John David

doi:10.1109/tmtt.1970.1127222

Cited by 110 publications

(24 citation statements)

References 3 publications

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“…Therefore, we can relax the condition that uniformity of the transfer function be realized only within authorized bands for the system. To this end, if we are content with obtaining uniformity of both amplitude and phase properties via passive linear phase bandpass filters [10,11] in the finite frequency band, we can fulfill almost all of the stated restrictions. Namely, if we prepare a linear phase bandpass filter L(s) and set (3) as a rational function satisfying the third restriction, then the second restriction is automatically fulfilled through the general properties of inverse Laplace transform.…”

Section: Reconciling the Restrictionsmentioning

confidence: 99%

“…It is also able to provide a systematic reduction procedure that reduces the identified circuit to a specific filter configuration with prescribed circuit topologies. In the present problem, a filter without transmission zeros was assumed, as shown in (10). Therefore, the reduced circuit topology is expected to be a simple ladder without couplings among nonadjacent resonators.…”

Section: Step 6: Extracting a Filter Circuit From S Parametersmentioning

confidence: 99%

“…In this calculation, the Levenberg-Marquardt method [14] is applied, with cost function ∆(α α α, c) defined by (10) and (11). Optimization is carried out by minimizing ∆(α α α, c), altering the loci of the transmission poles α α α = {α i }, and including the overall complex constant c as one of the fitting parameters.…”

Section: Optimization Fitting Of a Rational Polynomial H Pol (S) To Hmentioning

confidence: 99%

“…As stated in Section 4.5, this can be accomplished in a simple way using a conventional filter synthesis technique known as the matrix synthesis method [4,5], and its ability to generate passive (or causal) circuits is guaranteed by the classical control theory [2], once H pol (S) is in the form of (10). Therefore, to accomplish this step, we must first determine the maximal return loss RL for S 11 within the passband of the H pol (S) obtained above.…”

Section: Extraction Of S Parameters From H Pol (S)mentioning

confidence: 99%

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A Synthesis Method for Time-Domain Passive Filters Compensating for Waveform Distortion

Sangawa¹

2012

PIER B

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Abstract-A novel synthesis method for a class of time-domain passive filters that compensates for waveform distortion caused by frequency dependencies of the transmission properties of signal propagation paths, is formulated. The method is based on the linear response theory and mathematical properties of scattering matrices for passive circuits. This paper focuses on the formulation and theoretical consistency of the method. The causal transfer functions for the filters can be extracted by "regularizing" the inverse of a transfer function of the path. To fulfill the necessary restrictions imposed on the causal functions, regularization is realized by multiplying the function of linear phase filters comprising a sufficient number of resonators by the inverse. The filter circuits are easily derived from the regularized transfer functions through numerical optimization techniques and the coupling matrix synthesis method to determine transmission poles and extract each lumped element value, respectively. The method is then applied to practically designing a filter that compensates for the frequency dependencies of a two-port radio propagation path having a pair of wideband antennas. In addition, applications of the filter and the scope of further developments of this technology are discussed.

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Section: Reconciling the Restrictionsmentioning

confidence: 99%

Section: Step 6: Extracting a Filter Circuit From S Parametersmentioning

confidence: 99%

Section: Optimization Fitting Of a Rational Polynomial H Pol (S) To Hmentioning

confidence: 99%

Section: Extraction Of S Parameters From H Pol (S)mentioning

confidence: 99%

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A Synthesis Method for Time-Domain Passive Filters Compensating for Waveform Distortion

Sangawa¹

2012

PIER B

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“…The method of designing narrow RF band pass filters with symmetric or asymmetric frequency response was pioneered by Baum [1], Rhodes [2] and Atia and Williams [3] and further developed by Bell [4], Cameron et al [5], and others. The design determines the coupling matrix whose off diagonal elements are derived from frequency-invariant inverters.…”

Section: Introductionmentioning

confidence: 99%

A new equivalent circuit for inverters and its application for the determination of coupling matrix elements of narrow RF bandpass filters

Haldar

Islam

2009

Int J RF and Microwave Comp Aid Eng

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A new equivalent circuit for inverters is presented. Using this circuit, expression for the elements of the coupling matrix of narrow RF band pass filters is derived. The derivation is based on frequency independent coupling assumed in the synthesis of narrow RF band pass filters. Our expression is different from an earlier expression obtained using lumped circuit representations of different types of coupling and their analysis. It is shown that the earlier expression can be derived from our analysis if the coupling is assumed frequency-variant. Unlike earlier work, our derivation shows how the sign of the coupling coefficient can be obtained.

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