A New Non-Uniform ADC: Parallel Digital Ramp Pulse Position Modulation

Pappas, Constantine A.

doi:10.1109/ccece.2018.8447844

Cited by 3 publications

(6 citation statements)

References 3 publications

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“…This communication is an extension of work originally presented at a conference on Electrical and Computer Engineering [1] and this current paper significantly expands upon the initial concept proposed in the original material. Although the most common form of sampling is uniform sampling, there are many cases where nonuniform sampling arises and is intentional [2].…”

Section: Introductionmentioning

confidence: 84%

“…Conventional Pulse Position Modulation (PPM) generates one sample per period of a reference ramp [1]. In the PPM waveform generator circuit shown in Figure 1, f (t) is the input analog signal to be sampled and r(t) is a saw tooth reference waveform with period, T ramp .…”

Section: Conventional Ppmmentioning

confidence: 99%

“…The stylized, equal partitioning, presented [1], was intended to provide an introduction for the essence of the PDR-ADC. We now develop the elaboration of the partitioning scheme, where significant benefits will be obtained.…”

Section: Geometric Partitioningmentioning

confidence: 99%

“…Assuming the noise is Gaussian distributed, then approximately all of the noise is contained within 6.6 standard deviations 1 . The peak-to-peak thermal noise voltage of the resistor is given by:…”

Section: Step Compressionmentioning

confidence: 99%

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A Novel Pulse Position Modulator for Compressive Data Acquisition

Pappas¹

2019

Adv. sci. technol. eng. syst. j.

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This work extends the development of the nonuniform Parallel Digital Ramp Pulse Position Modulation Analog-to-Digital Converter (PDR-ADC) architecture. The continuous to discrete transform of the PDR-ADC is achieved by partitioning the signal amplitude axis into P nonoverlapping partitions that sample the analog input at input signal driven instances. Each partition contains L uniform levels with different quantization step sizes such that the dynamic range of the partitions are related as a geometric series. It is shown that this new architecture satisfies the Nyquist requirement on average (Beutler's condition) and results in a random additive sampling architecture that is alias free (Shapiro-Silverman condition). Additionally, it is shown that the geometric partitioning causes the signal-to-quantization noise ratio (SQNR) to remain approximately constant. A comprehensive design paradigm is presented, including circuits to affect the desired response, the format of the encoded digital samples and the corresponding transformation to determine the equivalent analog voltage. Lastly, although the thrust of this paper is not reconstruction techniques, reconstruction is, nevertheless, compulsory, and recovery and reconstruction is demonstrated through simulations.

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Section: Introductionmentioning

confidence: 84%

Section: Conventional Ppmmentioning

confidence: 99%

Section: Geometric Partitioningmentioning

confidence: 99%

Section: Step Compressionmentioning

confidence: 99%

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A Novel Pulse Position Modulator for Compressive Data Acquisition

Pappas¹

2019

Adv. sci. technol. eng. syst. j.

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“…Conceptually, the PDR-ADC may initially be regarded as a parallel arrangement of uniform quantizers as shown in Figure 2. Each quantizer, in Figure 2, is referenced independently and spans a different range of possible input signal values, thus partitioning the input signal axis [19,15]. In such an arrangement, if P is the number of partitions, and if each quantizer contains the same number of quantization levels, L, where L = 2 N , and if each quantizer has a dynamic range, V re f P , so that together the P partitions span V re f , then the quantization step size is given by:…”

Section: Pdr: Uniform Partitionsmentioning

confidence: 99%

Signal-to-Quantization Noise Ratio of the Parallel Digital Ramp Analog-to-Digital Converter

Pappas¹

2019

Adv. sci. technol. eng. syst. j.

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This work presents a theoretical analysis of the Signal-to-Quantization Noise Ratio (SQNR) of the nonuniform Parallel Digital Ramp Pulse Position Modulator Analog-to-Digital Converter (PDR-ADC) architecture. The PDR-ADC partitions the amplitude axis into P non-overlapping partitions that sample the analog input at input signal driven instances. Samples are generated when the input signal crosses a digital ramp in a partition. The parallel digital ramps operate from a single clock. For sinusoidal signals, it is shown, for uniform partitions the SQNR can be increased be increasing the number of bits in the counter or by increasing the number of partitions. A geometric partitioning scheme is then proposed where, again for sinusoids, it is shown that this quantization rule has the effect of attempting to maintain the SQNR approximately constant. For geometric partitioning, it is shown that the largest SQNR is achieved when the geometric parameter, common ratio, equals two.

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An RRAM-based building block for reprogrammable non-uniform sampling ADCs

Vishwakarma

Fritscher

Hagelauer

et al. 2023

It - Information Technology

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RRAM devices have recently seen wide-spread adoption into applications such as neural networks and storage elements since their inherent non-volatility and multi-bit-capability renders them a possible candidate for mitigating the von-Neumann bottleneck. Researchers often face difficulties when developing edge devices, since dealing with sensors detecting parameters such as humidity or temperature often requires large and power-consuming ADCs. We propose a possible mitigation, namely using a RRAM device in combination with a comparator circuit to form a basic block for threshold detection. This can be expanded towards programmable non-uniform sampling ADCs, significantly reducing both area and power consumption since significantly smaller bit-resolutions are required. We demonstrate how a comparator circuit designed in 130 nm technology can be reprogrammed by programming the incorporated RRAM device. Our proposed building block consumes 83 µW.

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A New Non-Uniform ADC: Parallel Digital Ramp Pulse Position Modulation

Cited by 3 publications

References 3 publications

A Novel Pulse Position Modulator for Compressive Data Acquisition

A Novel Pulse Position Modulator for Compressive Data Acquisition

Signal-to-Quantization Noise Ratio of the Parallel Digital Ramp Analog-to-Digital Converter

An RRAM-based building block for reprogrammable non-uniform sampling ADCs

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