Suprathreshold Stochastic Resonance in Multilevel Threshold Systems

Stocks, Nigel G.

doi:10.1103/physrevlett.84.2310

Cited by 400 publications

(379 citation statements)

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“…This peculiarity of a swept threshold receiver is explored by the author that coined the term, Hjortland [HWL + 06] in his Ph.D. [Hjo16]. Stochastic Resonance is explained well by Mcdonnel [MA09] which hold a PhD on the subject [McD06], while an introduction to SSR can be found by Stocks [Sto00]. Performance characterization in noise when correlating is studied by Watts [Wat62], as will be discussed on page 28.…”

Section: Proposed Radar Solutionmentioning

confidence: 99%

UWB waveform generator for digital CMOS radar

Bjorndal

Hamran

Lande³

2015

2015 IEEE International Symposium on Circuits and Systems (ISCAS)

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Small, low cost, radar systems have exciting applications in monitoring and imaging for the industrial, healthcare and Internet of Things (IoT) sectors. We here explore, and show the feasibility of, several single bit square wave radar architectures; that benefits from the continuous improvement in digital technologies for system-on-chip digital integration. By analysis, simulation and measurements we explore novel and harmonic-rich continuous wave (CW), stepped-frequency CW (SFCW) and frequency-modulated CW (FMCW) architectures, where harmonics can not only be suppressed but even utilized for improvements in down-range resolution without increasing on airbandwidth. In addition, due to the flexible digital CMOS implementation, the system is proved by measurement, to feasibly implement pseudo-random noise-sequence and pulsed radars, simply by swapping out the digital baseband processing. Single bit quantization is explored in detail, showing the benefits of simple implementation, the feasibility of continuous time design and only slightly degraded signal quality in noisy environments compared to an idealized analog system. Several iterations of a proof-of-concept 90 nm CMOS chip is developed, achieving a time resolution of 65 ps at nominal 1.2 V supply with a novel Digital-to-Time converter architecture. In pulsed mode, the chip features programmable pulses with a minimum width of 130 ps and a time step of 65 ps. In CW mode, we can transmit arbitrary signals up to 3.8 GHz all the way down to DC. With a continuous time single bit receiver, the backscattered signal can be mixed with the on-chip XOR gate and integrated with the on-chip counters, to provide a system-on-chip CW platform.iii

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Section: Proposed Radar Solutionmentioning

confidence: 99%

UWB waveform generator for digital CMOS radar

Bjorndal

Hamran

Lande³

2015

2015 IEEE International Symposium on Circuits and Systems (ISCAS)

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“…1b is a parallel array of M identical two-state quantizers which has an architecture similar to the one also considered in [9,17,18]. In this array of Fig.…”

Section: A Nonlinear Detectormentioning

confidence: 99%

“…This non-standard strategy to design suboptimal detectors based on two-state quantizers benefits from recent studies on the use of stochastic resonance and the constructive role of noise in nonlinear processes [9][10][11][12][13][14]. This paradoxical nonlinear phenomenon, has been intensively studied during the last two decades.…”

Section: Introductionmentioning

confidence: 99%

“…In these circumstances, the mechanism of improvement, qualitatively, is that the noise assists small signals in overcoming the threshold of the two-state quantizer. Recently, another form of stochastic resonance was proposed in [9,10], with parallel arrays of two-state quantizers, under the name of suprathreshold stochastic resonance. This form in [9][10][11][12][13][14] applies to signals of arbitrary amplitude, which do not need to be small and subthreshold, whence the name.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, another form of stochastic resonance was proposed in [9,10], with parallel arrays of two-state quantizers, under the name of suprathreshold stochastic resonance. This form in [9][10][11][12][13][14] applies to signals of arbitrary amplitude, which do not need to be small and subthreshold, whence the name. Different measures of performance have been studied to quantify the suprathreshold stochastic resonance: general information measures like the input-output Shannon mutual information [9], the input-output correlation coefficient [11], signal-to-noise ratios [11,13], in an estimation context with the Fisher information contained in the array output [12] or in a detection context with a probability of error [14].…”

Section: Introductionmentioning

confidence: 99%

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Noise-enhanced nonlinear detector to improve signal detection in non-Gaussian noise

2006

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We compare the performance of two detection schemes in charge of detecting the presence of a signal buried in an additive noise. One of these is the correlation receiver (linear detector), which is optimal when the noise is Gaussian. The other detector is obtained by applying the same correlation receiver to the output of a nonlinear preprocessor formed by a summing parallel array of two-state quantizers. We show that the performance of the collective detection realized by the array can benefit from an injection of independent noises purposely added on each individual quantizer. We show that this nonlinear detector can achieve better performance compared to the linear detector for various situations of non-Gaussian noise. This occurs for both Bayesian and Neyman-Pearson detection strategies with periodic and aperiodic signals. r

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