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Relaxation oscillator

About: Relaxation oscillator is a research topic. Over the lifetime, 1952 publications have been published within this topic receiving 22326 citations.


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Patent
Boer Eeltje De1
07 Jan 1964

20 citations

Journal ArticleDOI
01 Feb 1941
TL;DR: In this paper, the authors describe a type of resistance-capacitance-tuned oscillator which operates with a single tube, where a three or more mesh phase-shifting network is connected between the output and input of an amplifier tube.
Abstract: This paper describes a type of resistance-capacitance-tuned oscillator which operates with a single tube. A three- or more mesh phase-shifting network is connected between the output and input of an amplifier tube. When the gain of the amplifier is adjusted either manually or by an automatic-volume-control circuit barely to maintain oscillation, almost pure sine-wave output is obtained. Variations in the basic circuit have been analyzed and design formulas are included in this paper. Experimental work verified theoretical expectations. A typical oscillator was found to have a distortion of 0.1 per cent at an output voltage of 20 volts.

20 citations

Journal ArticleDOI
TL;DR: In this paper, a simplified model of a relaxation oscillator which exhibits the characteristic free response of intervals of slow decay separated by rapid jumps was used to determine steady-state response to a harmonic forcing input and obtain regions in the parameter space where subharmonic entrainment occurs.
Abstract: Using a simplified model of a relaxation oscillator which exhibits the characteristic free response of intervals of slow decay separated by rapid jumps, we determine steady-state response to a harmonic forcing input and obtain regions in the parameter space where subharmonic entrainment occurs. The model relaxation oscillator consists of a one-dimensional flow with jump conditions and is motivated by earlier studies of the flow on the slow manifold of a piecewiselinear relaxation oscillator. The results are obtained by studying the dynamics of the phase mapping which describes how the forcing phase varies between jumps. Details of the phase mapping are obtained both analytically and by numerical integration of the governing flow. The results obtained regarding existence and stability of subharmonics bear strong qualitative resemblance to experimental observations of frequency demultiplication by van der Pol and van der Mark (1927) and to numerical investigations of the forced van der Pol oscillator by Flaherty and Hoppensteadt (1978).

20 citations

Journal ArticleDOI
TL;DR: In this paper, the global features of chaos observed after an initial period doubling route to chaos in a driven p-n junction oscillator are found to result from a simple mechanism which consists of a driven linear oscillator reset by a relaxation oscillator.
Abstract: Global features of chaos observed after an initial period-doubling route to chaos in a driven p-n junction oscillator are found to result from a simple mechanism which consists of a driven linear oscillator reset by a relaxation oscillator. The global features include staircases, period adding, replication, hopping, and higher-order periodic windows. A one-dimensional iterative map is constructed which models the initial quadratic behavior and subsequent global behavior. Other systems where this mechanism may be found are discussed.

20 citations

Journal ArticleDOI
TL;DR: An on-chip frequency reference is designed for low-power, low-cost, and fully integrated system-on-chip designs and pseudodifferential architecture is used to eliminate frequency variation caused by bias current and interleaving capacitors are implemented to extend its discharge time.
Abstract: An on-chip frequency reference is designed for low-power, low-cost, and fully integrated system-on-chip designs. In this relaxation oscillator, pseudodifferential architecture is used to eliminate frequency variation caused by bias current, and interleaving capacitors are implemented to extend its discharge time. A low-leakage programmable switch array (PSA) trimming method is proposed to calibrate the first- and second-order temperature coefficients (TCs) of the composite resistor. The oscillator was fabricated in a 0.35-μm 2P4M CMOS process with an area of 0.162 mm2. The oscillator operates at 130 kHz, and measurement results show that it achieves a frequency variation of less than ±0.5% over a temperature range of -20 °C-100°C and less than ±0.4% over a supply voltage range of 1-3 V.

20 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202322
202242
202128
202044
201962
201855