Analysis of time and frequency response for single/multi-tone stimulus harmonic phase-reference based on prime number algorithm

David A Humphreys; He Yu; Cong Wang; Maoliu Liu; Luqman Ali; Fanyi Meng

doi:10.3390/electronics9111836

Analysis of time and frequency response for single/multi-tone stimulus harmonic phase-reference based on prime number algorithm

David A Humphreys, He Yu^*, Cong Wang, Maoliu Liu, Luqman Ali, Fanyi Meng

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

We present a spectrally-dense phase-reference and its calibration for nonlinear vector network analyzers (NVNAs) using a step recovery diode (SRD) comb-generator with a multi-tone stimulus. Frequency selection for multi-tone stimulus based on prime number algorithms was used with the Digital Real-Time Oscilloscope (DRTO) to avoid the sub-Nyquist spurs components and to increase the effective sampling rate so that the waveform can be observed in greater detail. The measured results were calibrated to minimize drift and jitter and achieved excellent agreement between the prime number and the exact frequency strategies except at the sub-Nyquist frequencies. The analysis indicates that the prime number selected frequencies show significantly improved performance by avoiding the DRTO distortion components. We have verified the validity of the method described in this paper by experimental measurement results. View Full-Text

Original language	English
Pages (from-to)	1836
Number of pages	13
Journal	Electronics
Volume	9
Issue number	11
DOIs	https://doi.org/10.3390/electronics9111836
Publication status	Published - 3 Nov 2020

Bibliographical note

Shorter version presented by D A Humphreys at CPEM 2018. He Yu was a PhD Student at Harbin. She performed the measurements and I provided some guidance on my original analysis work.

Keywords

digital real-time oscilloscope (DRTO)
harmonic phase-reference
multi-tone
prime number algorithm
sub-Nyquist spurs
nonlinear vector network analyzer (NVNA)

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@article{38d08cfa7d164ac4b08601fc97f80476,

title = "Analysis of time and frequency response for single/multi-tone stimulus harmonic phase-reference based on prime number algorithm",

abstract = "We present a spectrally-dense phase-reference and its calibration for nonlinear vector network analyzers (NVNAs) using a step recovery diode (SRD) comb-generator with a multi-tone stimulus. Frequency selection for multi-tone stimulus based on prime number algorithms was used with the Digital Real-Time Oscilloscope (DRTO) to avoid the sub-Nyquist spurs components and to increase the effective sampling rate so that the waveform can be observed in greater detail. The measured results were calibrated to minimize drift and jitter and achieved excellent agreement between the prime number and the exact frequency strategies except at the sub-Nyquist frequencies. The analysis indicates that the prime number selected frequencies show significantly improved performance by avoiding the DRTO distortion components. We have verified the validity of the method described in this paper by experimental measurement results. View Full-Text",

keywords = "digital real-time oscilloscope (DRTO), harmonic phase-reference, multi-tone, prime number algorithm, sub-Nyquist spurs, nonlinear vector network analyzer (NVNA)",

author = "Humphreys, \{David A\} and He Yu and Cong Wang and Maoliu Liu and Luqman Ali and Fanyi Meng",

note = "Shorter version presented by D A Humphreys at CPEM 2018. He Yu was a PhD Student at Harbin. She performed the measurements and I provided some guidance on my original analysis work.",

year = "2020",

month = nov,

day = "3",

doi = "10.3390/electronics9111836",

language = "English",

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TY - JOUR

T1 - Analysis of time and frequency response for single/multi-tone stimulus harmonic phase-reference based on prime number algorithm

AU - Humphreys, David A

AU - Yu, He

AU - Wang, Cong

AU - Liu, Maoliu

AU - Ali, Luqman

AU - Meng, Fanyi

N1 - Shorter version presented by D A Humphreys at CPEM 2018. He Yu was a PhD Student at Harbin. She performed the measurements and I provided some guidance on my original analysis work.

PY - 2020/11/3

Y1 - 2020/11/3

N2 - We present a spectrally-dense phase-reference and its calibration for nonlinear vector network analyzers (NVNAs) using a step recovery diode (SRD) comb-generator with a multi-tone stimulus. Frequency selection for multi-tone stimulus based on prime number algorithms was used with the Digital Real-Time Oscilloscope (DRTO) to avoid the sub-Nyquist spurs components and to increase the effective sampling rate so that the waveform can be observed in greater detail. The measured results were calibrated to minimize drift and jitter and achieved excellent agreement between the prime number and the exact frequency strategies except at the sub-Nyquist frequencies. The analysis indicates that the prime number selected frequencies show significantly improved performance by avoiding the DRTO distortion components. We have verified the validity of the method described in this paper by experimental measurement results. View Full-Text

AB - We present a spectrally-dense phase-reference and its calibration for nonlinear vector network analyzers (NVNAs) using a step recovery diode (SRD) comb-generator with a multi-tone stimulus. Frequency selection for multi-tone stimulus based on prime number algorithms was used with the Digital Real-Time Oscilloscope (DRTO) to avoid the sub-Nyquist spurs components and to increase the effective sampling rate so that the waveform can be observed in greater detail. The measured results were calibrated to minimize drift and jitter and achieved excellent agreement between the prime number and the exact frequency strategies except at the sub-Nyquist frequencies. The analysis indicates that the prime number selected frequencies show significantly improved performance by avoiding the DRTO distortion components. We have verified the validity of the method described in this paper by experimental measurement results. View Full-Text

KW - digital real-time oscilloscope (DRTO)

KW - harmonic phase-reference

KW - multi-tone

KW - prime number algorithm

KW - sub-Nyquist spurs

KW - nonlinear vector network analyzer (NVNA)

U2 - 10.3390/electronics9111836

DO - 10.3390/electronics9111836

M3 - Article (Academic Journal)

SN - 2079-9292

VL - 9

SP - 1836

JO - Electronics

JF - Electronics

IS - 11

ER -

Analysis of time and frequency response for single/multi-tone stimulus harmonic phase-reference based on prime number algorithm

Abstract

Bibliographical note

Keywords

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