Current-mode companding √
            <i>x</i>
            -domainintegrator

Mulder, J.A.; Woerd, A.C. van der; Serdijn, Wouter A.; Roermund, Arthur van

doi:10.1049/el:19960128

Cited by 63 publications

(43 citation statements)

References 3 publications

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“…Applying the above transformations, the resulting differential equation becomes (9) or, alternatively written, using (10) Since the currents in this differential equation will equal the currents in the final oscillator circuit, at this point it is already possible to determine the most important oscillator characteristics, which are its oscillation frequency osc and its amplitude osc . If we assume that the oscillator current is sinusoidal, thus , osc , and osc follow from (11) and (12) being 2 / osc .…”

Section: A Transformationsmentioning

confidence: 99%

“…Although not recognized then, this was actually the first time a first-order linear differential equation was implemented using translinear circuit techniques. In 1990, Seevinck introduced a "companding current-mode integrator" [5], and since then the principle of translinear filtering has been extensively studied by Frey, see, e.g., [6], Punzenberger and Enz [7], Toumazou and Lande [8], Perry and Roberts [9], and Mulder and Serdijn, see, e.g., [10], [11].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A wide-tunable translinear second-order oscillator

Serdijn

Mulder

Woerd

et al. 1998

IEEE J. Solid-State Circuits

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Abstract-This paper describes the design and measurement of a translinear second-order oscillator. The circuit is a direct implementation of a nonlinear second-order differential equation and follows from a recently developed synthesis method for dynamic translinear circuits. It comprises only two capacitors and a handful of bipolar transistors and can be instantaneously controlled over a very wide frequency range by only one control current, which indicates its suitability for spread-spectrum communications. Its total harmonic distortion can be made small by the design, which enables fully integrated transmitters. A semicustom test chip, fabricated in a standard 2-m, 7-GHz, bipolar IC process, operates from a single supply voltage, which can be as low as 2 V and oscillates over six decades of frequency with 031 dB total harmonic distortion.

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Section: A Transformationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A wide-tunable translinear second-order oscillator

Serdijn

Mulder

Woerd

et al. 1998

IEEE J. Solid-State Circuits

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“…The subclasses of log-domain filters [2], tanh, and sinh filters [14] depend on the exponential behavior of the bipolar transistor, or the MOS transistor in the subthreshold region. The subclass of p -domain filters [5] is based on the quadratic behavior of the MOS transistor in the strong inversion region.…”

Section: Instantaneous Compandingmentioning

confidence: 99%

“…TL filters exploit the exponential law describing the bipolar transistor or the MOS transistor operating in the subthreshold region. A generalization of the underlying principle to the square law behavior of MOS transistors operating in strong inversion was proposed in [5].…”

Section: Introductionmentioning

confidence: 99%

An instantaneous and syllabic companding translinear filter

Mulder

Serdijn

Woerd

et al. 1998

IEEE Trans. Circuits Syst. I

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Abstract-An inherent characteristic of most translinear (TL) filters is instantaneous companding. This brief describes a distortionless syllabic companding TL filter based on the "analog floating-point technique" [1]. Through the addition of a compensation current to each of the capacitances in the filter, distortion is eliminated. By applying syllabic companding to a TL filter, the input current can be much larger than the quiescent current, thus increasing the dynamic range.

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“…The first companding filters employed the exponential current-voltage characteristic of BJT transistors in the forward-active mode or MOS transistors in weak inversion, leading to the so called Log-Domain filters [4]- [6]. Later, in order to avoid the limited bandwidth and poor matching of MOS transistors in weak inversion, the quadratic law of MOS transistors in strong inversion and saturation was employed in square root-domain (SRD) companding filters [7]- [8]. The synthesis of these filters is the subject of ongoing research [9][10][11][12], but there is still a lack of understanding of particular effects of the nonlinearities.…”

Section: Introductionmentioning

confidence: 99%

Limit cycle behavior in a class-AB second-order square root domain filter

Blas

Feely

2011

Analog Integr Circ Sig Process

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Publication informationAnalog Integrated Circuits and Signal Processing, 68 (2) Abstract-This paper shows how an unwanted limit cycle can be exhibited by a second-order CMOS companding filter. The filter employs the quasi-quadratic law of the MOS transistor in strong inversion and saturation to achieve compression together with a Class-AB topology to extend the dynamic range. In the zero-input case, the filter operates in the manner expected of an externally-linear circuit. However, when a standard linear IC design technique is applied to it, unwanted zero-input sustained oscillations may be observed. Simulations from PSpice and measurement results from a semi-custom realization in a 0.8µm CMOS process are used to explore this behavior. This work highlights an aspect of the behavior of such filters that must be taken into account by analog designers. 2Limit Cycle Behavior in a Class-AB Second- Order Square Root Domain FilterCarlos A. De La Cruz-Blas, and Orla FeelyAbstract-This paper shows how an unwanted limit cycle can be exhibited by a second-order CMOS companding filter. The filter employs the quasi-quadratic law of the MOS transistor in strong inversion and saturation to achieve compression together with a Class-AB topology to extend the dynamic range. In the zero-input case, the filter operates in the manner expected of an externally-linear circuit. However, when a standard linear IC design technique is applied to it, unwanted zero-input sustained oscillations may be observed. Simulations from PSpice and measurement results from a semi-custom realization in a 0.8µm CMOS process are used to explore this behavior. This work highlights an aspect of the behavior of such filters that must be taken into account by analog designers.

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Current-mode companding √ x -domainintegrator

Cited by 63 publications

References 3 publications

A wide-tunable translinear second-order oscillator

A wide-tunable translinear second-order oscillator

An instantaneous and syllabic companding translinear filter

Limit cycle behavior in a class-AB second-order square root domain filter

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