Chirp Duration Research Articles

PD-FMCW: Push the Limit of Device-Free Acoustic Sensing Using Phase Difference in FMCW

Device-free acoustic sensing has obsessed with renovating human-computer interaction techniques for all-sized mobile devices in various applications. Recent advances have explored sound signals in different methods to achieve highly accurate and efficient tracking and recognition. However, accuracies of most approaches remain bottlenecked by the limited sampling rate and narrow bandwidth, leading to restrictions and inconvenience in applications. To bridge over the aforementioned daunting barriers, we propose PD-FMCW, a novel ultrasound-based device-free tracking scheme that can distinctly improve the resolution of fine-grained sensing to submillimetre level. In its heart lies an original Phase Difference based approach leveraging the Frequency-Modulated Continuous Wave to derive the reflected time delay, thus precisely inferring absolute distance, catering to interaction needs of tinier perception with lower delay. The distance resolution of PD-FMCW is only related to the speed of actions and chirp duration. We implement a prototype with effective denoising methods all in the time domain on smartphones. The evaluation results show that PD-FMCW achieves accuracies of 2.5 mm, 3.6 mm, and 2.1 mm in distance change, path length change, and trajectory tracking error respectively. PD-FMCW is also valid in recognizing 2 mm or even tinier micro-movements, which paves the way for more delicate sensing work.

Generation of a Chirp-Controlled Terahertz Pulse by a Tapered Corrugated Wakefield Structure

Terahertz pulses with controlled spectral-temporal waveform have great potential in expanding the scope of state-of-the-art terahertz researches, such as terahertz-driven resonant and nonresonant control over matter and light, ultrafast terahertz spectroscopy, and terahertz-driven acceleration. Here, we propose and demonstrate a method to generate a prescribed terahertz chirped waveform with a well-designed tapered corrugated wakefield structure. We develop a deterministic procedure to derive the parameters of the corrugated structure that generates the desired spectral-temporal waveform with certain shape of chirp, central frequency, bandwidth, and pulse duration. The experimental results from ultrashort electron bunches passing through a well-designed tapered corrugated structure are demonstrated. Time-frequency analysis of the terahertz electric field measured by electro-optical sampling shows clear chirp from 0.38 to 0.6 THz. Calibrated measurements of the radiated energy indicate 10 \textmu{}J per pulse for an incident beam charge of 300 pC.

Snow Depth Measurements With Ultra-Wideband Compact FMCW Radar on a Small Unmanned Aircraft System

This paper presents results from a field deployment of a small Unmanned Aircraft System (sUAS) radar in Colorado-Grand Mesa during Spring-2022 for measurements over snow. The stand-alone, low-power, compact, and Frequency Modulated Continuous Wave (FMCW) radar on a sUAS is used for these measurements. The radar operates over the frequency range of 2.8-5.8 GHz. The transmit signal is obtained by down-converting 77-81 GHz chirp generated with an automotive radar. The radar operates with a low output power of only 3 dBm (2 mW) to mitigate interference to nearby communication systems with a chirp duration of 250 μs. The received signal is up-converted back to 77-81 GHz for digitization and processing using the automotive radar data capture board. The radar data are processed with a fully focused Synthetic Aperture Radar (SAR) algorithm after applying phase and amplitude corrections to the transmitter chirp to obtain nearly ideal point target responses. The radar mapped air-snow and snow-ground surface interfaces as well as the snow internal layers with snow depth exceeding 2 m in areas covered with 15-25 m tall trees. In addition, the radar-generated snow thicknesses are within ±10 cm of in-situ measurements.

A 67-mW D-Band FMCW I/Q Radar Receiver With an N-Path Spillover Notch Filter in 28-nm CMOS

A 139.5–157.7-GHz <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$D$ </tex-math></inline-formula> -band I/Q radar receiver with an on-chip antenna and a spillover resilient <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$N$ </tex-math></inline-formula> -path baseband filter is presented. Spillover and its manifestation based on the chirp duration are discussed, and a filter for spillover mitigation is implemented. The radar is characterized by 18-GHz radio frequency (RF) bandwidth, 13-mm range resolution, 55-dB conversion gain, 8-dB NF, and 26-dB narrowband spillover attenuation. The receiver is also capable of selectively mitigating close-by large reflectors, and the system power consumption is 67 mW.

High-order harmonics generation in the laser-induced lead-free perovskites-containing plasmas

High-order harmonics generation in the laser-induced plasmas produced on the surfaces of lead-free perovskites is studied. We analyze the harmonics generation in (CH3NH3)2CuCl4 and (CH3NH3)2CuBr4 plasmas during their ablation by the femtosecond, picosecond, and nanosecond pulses. The modifications of the high-order harmonics spectra are studied using the -color pump scheme (800 nm and 400 nm, 40 fs pulses). The influence of the variations of laser chirp and pulse duration on the dynamics of high-order harmonics generation is examined. The spectral shift, chirp-related harmonic cutoff scaling, and the role of the pulse duration of converting and heating laser radiation are examined at different conditions of plasma formation and harmonic generation. The dependencies of the pulse duration and the fluence of heating pulses on the harmonic’s blue shift are found. The effect of harmonics broadening and splitting on the two red- and blue-shifted components is demonstrated.

Comparative analysis of single- and multiple-frequency thermal wave radar imaging inspection of glass fiber reinforced polymer (GFRP)

Active infrared thermography has gained increasing popularity for nondestructive testing and evaluation in various industrial fields, especially for composite structures. In this regard, thermal wave radar (TWR) imaging is recognized as the next-generation active thermography technology to obtain great resolution and depth range over the inspected objects. A critical aspect concerns the optimal test parameter selection to guarantee reliable quality assurance required for industrial products. In this work, single- and multiple-frequency TWR was investigated in a quantitative manner with the goal of optimizing the detection parameters in terms of probing range and lateral and depth resolution. The effects of test parameters, including sampling frequency, modulation frequency, chirp duration, chirp bandwidth, etc, were investigated in detail through experiments on a glass fiber reinforced polymer specimen with multi-scale diameter-to-depth ratio defects. This paper aims to help yield a better understanding of the physical mechanism behind TWR and propose a workable scheme for testing parameter selection in practical applications.

Chirp duration effect on high-order harmonic spectra

Chirp duration effect on high-order harmonic spectra

Statistically efficient simultaneous amplitude measurement of multiple linear chirp signals

In this article, the amplitude measurement of multiple and simultaneously received linear chirp signals is investigated. The achievable scalability, that is, the maximum number of simultaneously transmitted superimposed signals that a receiver can characterize with a given target accuracy, is explored using simulations. The effect of chirp duration and bandwidth on the estimation accuracy and on the scalability is investigated. The effect of inaccuracies affecting the realized chirp duration and bandwidth is also discussed. It is shown that the scalability of the proposed approach is competitive with respect to multiple access methods, such as frequency-division multiple access or code-division multiple access. It is also shown that accurate amplitude measurements are achievable even when the collected signal is the superimposition of up to 20 chirp signals with amplitudes differing by three orders of magnitude.

A K-Band FMCW Frequency Synthesizer Using Q-Boosted Switched Inductor VCO in SiGe BiCMOS for 77 GHz Radar Applications

In this article, a fractional-N phase-locked loop (PLL) with integrated chirp generation circuit block for a 76~81 GHz frequency-modulated continuous-wave (FMCW) radar system is presented. Thanks to the switched inductor voltage-controlled oscillator (VCO) topology, the linearity, phase noise, chirp bandwidth, and chirp rate of the FMCW synthesizer can be optimized for the short-range radar (SRR) and long-range radar (LRR) applications, with switch at ON/OFF states, respectively, according to different requirements and concerns. In this way, the proposed FMCW synthesizer shows improved phase noise for switch OFF-state, good for LRR applications, compared to the conventional single-varactor VCOs or cap-bank VCOs. The switch loss at ON-state is further decreased with the Q-boosting technique, which helps the FMCW synthesizer to simultaneously obtain a wide chirp bandwidth, steep modulation rates and good phase noise for SRR applications. The FMCW synthesizer is fabricated in 0.13 µm SiGe BiCMOS technology, occupies an area of 1.7 × 1.9 mm2, and consumes 330 mW from a 3.3 V voltage supply. Measured results show that the FMCW synthesizer can cover 25.3~27 GHz (with a frequency tripler to fully cover 76~81 GHz band), showing optimized phase noise, chirp bandwidth, linearity, and modulation rates performance. The measured K-band phase noise is −110.5 dBc/Hz for switch OFF-state, and −106 dBc/Hz for switch ON-state at 1 MHz offset. The normalized root mean square (RMS) frequency error is 518 kHz for chirp rate of ±14.6 MHz/μs and 1.44 MHz for chirp rate of ±39 MHz/μs for the 77 GHz band. Moreover, the integrated waveform generator offers fully programmability in chirp rate, duration and bandwidth, which supports multi-slope chirp generations. With a frequency tripler, the chip is well suited for the 76~81 GHz FMCW radar system.

A variable chirp rate stepped frequency linear frequency modulation waveform designed to approximate wideband non-linear radar waveforms

The non-linear frequency modulation (NLFM) waveform is one of the existing waveforms that can be used in high range resolution radar applications. However, a high sampling frequency and consequently an expensive ADC are required. To overcome this drawback while taking advantage of the features of the NLFM waveform, we suggest approximating the wideband NLFM waveform by a piecewise linear waveform and using it in a stepped frequency (SF) framework. Thus, a variable chirp rate SF-LFM waveform is proposed where SF is combined with a train of LFM pulses having different chirp rates, durations, and bandwidths. In this paper, these parameters are derived from a tangent-based NLFM waveform. At the receiver, a generalized version of the time domain (TD) algorithm is proposed to process the received echoes. Our purpose is to obtain the high range resolution profile (HRRP) whose properties are of the same magnitude orders as those obtained using a tangent-based NLFM waveform. These properties are the peak sidelobe ratio, the integrated sidelobe, and the range resolution. Toward this goal, a multi-objective optimization issue is addressed to deduce the parameters of the proposed waveform by using two types of approaches based on evolutionary algorithms. Their relevance is compared. Our analysis and simulations show that the proposed approaches attain the targeted performance goals with a smaller sampling frequency at the receiver.

Interspecific differences of stridulatory signals in three species of bark beetles from the genus Polygraphus Er. (Coleoptera: Curculionidae, Scolytinae) inhabiting the island of Sakhalin.

Stridulatory signals are involved in conspecific interactions between bark beetles (Coleoptera: Curculionidae, Scolytinae). In this study, we compared the qualitative profiles of acoustic signals in three species from the genus Polygraphus Er. Sympatry can be periodically observed in two of them –P. proximus and P. subopacus. Sporadically they occur on the same plants. P. nigrielytris colonize distinctly different host plant species; however, on the island of Sakhalin it inhabits the same biotopes. The purpose of the study is to identify species-specific parameters and the extent of differences in stridulatory signals of these species. Airborne signals produced during the contact of males of the same species were experimentally recorded. Among tested parameters of stridulatory signals, as the most species-specific were noted: chirp duration, number of tooth-strikes per chirp, and intertooth-strike interval.

Reconfigurable Range-Doppler Processing and Range Resolution Improvement for FMCW Radar

A reconfigurable range-Doppler processing method for FMCW radar is presented. By concatenating beat-frequency signals from more than one sweep, a continuous beat-frequency signal for the whole coherent processing interval (CPI) can be created. As a result, continuous targets’ observation time is extended beyond that of a single chirp duration, leading to range resolution improvement. The created continuous beat-frequency signal can be split in the digital domain to any two-dimensional slow-time and fast-time matrices with the same number of elements as in the original signals, which offers a realization of a software-defined pulse/sweep repetition rate in range-Doppler processing. The signal concatenation is done in the short-time Fourier transform (STFT) domain, where the beat-frequency slices are extrapolated to compensate for the observation time lost in the transient region between sweeps, and then a phase correction is applied to each frequency-slice as appropriate, followed by an inverse STFT (ISTFT). The proposed technique is verified with simulation and experiments with an FMCW radar for stable and moving target scenarios. We found that the method allows for range resolution improvement without the transmission of additional bandwidth and also allows for the ability to observe different resolution granularities in parallel from one CPI. It additionally allows the decoupling of the transmitted PRF from the Doppler processing PRF, permitting the facility to observe different unambiguous Doppler velocity intervals from one CPI, without compromising on the total CPI processing gain.

Frequency-modulated up-chirps produce larger evoked responses than down-chirps in the big brown bat auditory brainstem.

In many mammals, upward-sweeping frequency-modulated (FM) sounds (up-chirps) evoke larger auditory brainstem responses than downward-sweeping sounds (down-chirps). To determine if similar effects occur in FM echolocating bats, auditory evoked responses (AERs) in big brown bats in response to up-chirps and down-chirps at different chirp durations and levels were recorded. Even though down-chirps are the biologically relevant stimulus for big brown bats, up-chirps typically evoked larger peaks in the AER, but with some exceptions at the shortest chirp durations. The up-chirp duration that produced the largest AERs and the greatest differences between up-chirps and down-chirps varied between individual bats and stimulus levels. Cross-covariance analyses using the entire AER waveform confirmed that amplitudes were typically larger to up-chirps than down-chirps at supra-threshold levels, with optimal durations around 0.5-1 ms. Changes in response latencies with stimulus levels were consistent with previous estimates of amplitude-latency trading. Latencies tended to decrease with increasing up-chirp duration and increase with increasing down-chirp duration. The effects of chirp direction on AER waveforms are generally consistent with those seen in other mammals but with small differences in response patterns that may reflect specializations for FM echolocation.

Inter‐radar interference analysis of FMCW radars with different chirp rates

Millimetre-wave frequency-modulated continuous wave (FMCW) radar is expected to be widely deployed for advanced driver assistance systems (ADAS) and self-driving cars. Considering that automotive radars will be deployed in a huge number of cars in future, inter-radar interference will be a significant problem since inter-radar interference can cause miss-detection and/or false detection of the target. As millimetre-wave automotive radar is not standardised at this moment, it is required to evaluate inter-radar interference among FMCW radars with various chirp-rates and chirp durations. This study describes inter-radar interference analysis in FMCW radars with different chirp rates and simulation results of inter-radar interference to confirm the validity of the interference analysis.

Frequency-modulated up-chirp stimuli enhance the auditory brainstem response of the killer whale (Orcinus orca).

Previous studies suggested that frequency-modulated tonal stimuli where the frequency sweeps upward (up-chirps) may enhance auditory brainstem response (ABR) amplitudes in mammals. In this study, ABRs were measured in response to up-chirps in three killer whales (Orcinus orca) and compared to ABRs evoked by broadband clicks. Chirp durations ranged from 125 - 2000 μs. Chirp spectral content was either "uncompensated," meaning the spectrum paralleled the transmitting response of the piezoelectric transducer, or "compensated," where the spectral density level was flat (+/-4 dB) across the stimulus bandwidth (10 - 130 kHz). Compensated up-chirps consistently produced higher amplitude ABRs than uncompensated clicks with the same peak equivalent sound pressure level. ABR amplitude increased with up-chirp duration up to 1400 μs, although there was considerable variability between individuals. Results suggest that compensating stimuli for the response of transducers can have a dramatic effect on broadband ABRs, and that compensated up-chirps might be useful for testing whale species where large size makes far-field recording of ABRs at the skin surface difficult.

Context-Dependent Acoustic Signals in the Four-Eyed Fir Bark Beetle, Polygraphus proximus (Coleoptera: Curculionidae: Scolytinae).

Invasion of Polygraphus proximus (Blandford) has caused an extensive destruction in the aboriginal forest ecosystems of South Siberia. The goal of this study was to better understand the acoustic communication of P. proximus by analyzing the beetles' sound-production mechanisms and comparing sounds produced during different behaviors. Comparisons applied waveform analysis and quantitation of temporal parameters such as syllable, chirp duration, interchirp interval, number of tooth-strike per chirp, strike rate, and the duration of intervals between strikes. We recorded the acoustic signals of the bark beetle in three behavioral contexts: stress (handling), rivalry (male-male interactions), and courtship (male-female interactions). Acoustic signals produced during stress, rivalry behavior, and courtship chirps have very similar waveforms but are distinguishable according to temporal parameters (e.g., number of strikes in chirps and duration of intervals between them). During courtship, males produce two types of chirps. The first type was produced in all three contexts. The second chirp type was registered only in male-female interactions just before copulation. Precopulation signals produced by rubbing of the tibia against the elytral margin were registered for the first time in a bark beetle. The role of the precopulation signal was the clearest. The established modulations of signals in stress trials in comparison with the similar courtship and rivalry chirps are apparently due to effects of insect body movement against restraint. We hypothesize that the chirp temporal parameters in courtship and rivalry may be used by the sender to reveal his presence or physical characteristics to a receiver (female or rival male).

Multi-Target Detection Method Based on Variable Carrier Frequency Chirp Sequence.

Continuous waveform (CW) radar is widely used in intelligent transportation systems, vehicle assisted driving, and other fields because of its simple structure, low cost and high integration. There are several waveforms which have been developed in the last years. The chirp sequence waveform has the ability to extract the range and velocity parameters of multiple targets. However, conventional chirp sequence waveforms suffer from the Doppler ambiguity problem. This paper proposes a new waveform that follows the practical application requirements, high precision requirements, and low system complexity requirements. The new waveform consists of two chirp sequences, which are intertwined to each other. Each chirp signal has the same frequency modulation, the same bandwidth and the same chirp duration. The carrier frequencies are different and there is a frequency shift which is large enough to ensure that the Doppler frequencies for the same moving target are different. According to the sign and numerical relationship of the Doppler frequencies (possibly frequency aliasing), the Doppler frequency ambiguity problem is solved in eight cases. Theoretical analysis and simulation results verify that the new radar waveform is capable of measuring range and radial velocity simultaneously and unambiguously, with high accuracy and resolution even in multi-target situations.

Resonance compensating chirp mode for mapping the rheology of live cells by high-speed atomic force microscopy

We developed resonance compensating chirp mode (RCCM), an atomic force microscopy (AFM) technique to measure the frequency dependence of the complex shear modulus of live cells over a large bandwidth (quasi-) continuously. RCCM works by applying a continuous frequency sweep (chirp) to the z-scanner and recording the resulting cantilever deflection at high speed. From this data, the frequency-resolved complex shear modulus is extracted. To reach a high maximum frequency, we iteratively shaped the chirp signal to compensate for scanner resonances. This allowed us to measure at frequencies five times higher than the resonant frequency of the scanner. Using a high-speed AFM with small cantilevers, we measured the complex shear modulus of live fibroblast cells in a continuous range between 5 Hz and 30 kHz. We found that the modulus and the loss tangent exhibit a power-law behavior throughout this frequency range. A short chirp duration of 200 ms allowed us to map live cells and generate spatially resolved images of the power-law parameters within minutes. These maps represent a unique combination of high spatial and frequency resolution, low measurement duration, and high maximum frequency.

First Evidence of Vibrational Communication in Homotomidae (Psylloidea) and Comparison of Substrate-Borne Signals of Two Allied Species of the Genus Macrohomotoma Kuwayama

Substrate-borne signals are widely used in Hemiptera and are known to be utilized in mate searching and recognition. Within this Order, the superfamily Psylloidea is a diverse taxon which uses this type of signal modality during mating behavior between the two sexes. This study describes and compares the previously unreported vibrational communication of two closely related species of Macrohomotoma (Homotomidae). Both genders of these two species, Macrohomotoma gladiata Kuwayama 1908 and Macrohomotoma robusta Yang 1984, emit vibrational signals and establish duets during mating. The structure of male calling consists of two chirps while the female response is a single chirp. Males may sometimes follow the female response by emitting a single chirp that sounds similar to the female response with respect to the chirp duration and dominant frequency. This behavior is novel among Psylloidea and its potential function is discussed. Specific comparison of signal characteristics has revealed that the two species of Macrohomotoma are clearly distinguishable from each other which opens the possibility of acoustic signals being used for species delineation.

Effects of a chirped bias voltage on ion energy distributions in inductively coupled plasma reactors

The metrics for controlling reactive fluxes to wafers for microelectronics processing are becoming more stringent as feature sizes continue to shrink. Recent strategies for controlling ion energy distributions to the wafer involve using several different frequencies and/or pulsed powers. Although effective, these strategies are often costly or present challenges in impedance matching. With the advent of matching schemes for wide band amplifiers, other strategies to customize ion energy distributions become available. In this paper, we discuss results from a computational investigation of biasing substrates using chirped frequencies in high density, electronegative inductively coupled plasmas. Depending on the frequency range and chirp duration, the resulting ion energy distributions exhibit components sampled from the entire frequency range. However, the chirping process also produces transient shifts in the self-generated dc bias due to the reapportionment of displacement and conduction with frequency to balance the current in the system. The dynamics of the dc bias can also be leveraged towards customizing ion energy distributions.