A New Multifunction Acousto-Optic Signal Processor

Berg, N. J.; Casseday, M.W.; Filipov, Andree N.; Pellegrino, Joseph G.

doi:10.1109/ultsym.1983.198094

Cited by 7 publications

(16 citation statements)

References 5 publications

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“…By quantizing constant-Q bands and the resulting wavelet scales it is possible to also discretize the uncertainty in time and frequency of the resulting analyses. Gaussian pulses in general [ 12 ] and Gabor atoms in particular are well-known to have the lowest time-frequency uncertainty [ 2 , 13 ], making them natural building blocks for uncertainty quantification. The Gabor atom has the minimal value of the Heisenberg-Gabor uncertainty ( Appendix D ), where the nondimensionalized temporal standard deviation

and angular frequency standard deviation

over all time and frequency satisfy

which quantify time and frequency uncertainty discretely, minimally, and unambiguously.…”

Section: Methodsmentioning

confidence: 99%

“…The effective SNR and therefore the detectability of a compressed pulse (such as a wavelet) is the product of the bandwidth, the signal to noise ratio, and the time duration of a signal [ 12 ]. When using constant-Q Gabor wavelet with fractional octave (binary) bands n of order N and center frequency

to process a signal in the presence of noise, the next section shows that for

the signal detectability per band can be represented by

and the upper limit on rate of information in bits per second for a band-limited pulse with center frequency

can be estimated from

…”

Section: Introductionmentioning

confidence: 99%

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Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures

Garcés

2020

Entropy

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Increased data acquisition by uncalibrated, heterogeneous digital sensor systems such as smartphones present new challenges. Binary metrics are proposed for the quantification of cyber-physical signal characteristics and features, and a standardized constant-Q variation of the Gabor atom is developed for use with wavelet transforms. Two different continuous wavelet transform (CWT) reconstruction formulas are presented and tested under different signal to noise ratio (SNR) conditions. A sparse superposition of Nth order Gabor atoms worked well against a synthetic blast transient using the wavelet entropy and an entropy-like parametrization of the SNR as the CWT coefficient-weighting functions. The proposed methods should be well suited for sparse feature extraction and dictionary-based machine learning across multiple sensor modalities.

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and angular frequency standard deviation

over all time and frequency satisfy

which quantify time and frequency uncertainty discretely, minimally, and unambiguously.…”

Section: Methodsmentioning

confidence: 99%

to process a signal in the presence of noise, the next section shows that for

the signal detectability per band can be represented by

and the upper limit on rate of information in bits per second for a band-limited pulse with center frequency

can be estimated from

…”

Section: Introductionmentioning

confidence: 99%

Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures

Garcés

2020

Entropy

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“…perform the correlation of two signals. The many possible ways to build TICs are well documented in the literature [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] and good review papers are available [15,21,27].…”

Section: Time-integrating Correlatorsmentioning

confidence: 99%

Analysis of DNA sequences by an optical time-integrating correlator

Brousseau¹,

Brousseau

Salt³

et al. 1992

Appl. Opt.

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The analysis of the molecular structure called DNA is of particular interest for the understanding of the basic processes governing life. Correlation techniques implemented on digital computers are currently used to do this analysis, but the process is so slow that the mapping and sequencing of the entire human genome requires a computational breakthrough. This paper presents a new method of performing the analysis of DNA sequences with an optical time-integrating correlator. The method is characterized by short processing times that make the analysis of the entire human genome a tractable enterprise. A processing strategy and the resultant processing times are presented. Experimental proofs of concept for the two types of analysis specified by the strategy are also included.

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“…Researchers have also been interested for many years in optical [4], pho toelastic, piezoelectric, and (especially) elastic prop erties of paratellurite crystals [5]. A transition of this material to the ferroelastic phase is found to occur at pressure P = 8.86 kbar [6,7]. The aforementioned interesting features of paratellurite single crystals are related to their significant optical and acoustic nonlin earities.…”

Section: Introductionmentioning

confidence: 99%

Formation of unusual nonferroic domains in TeO2 single crystals under external electric field

et al. 2014

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The formation of unusual slowly relaxing domains under an external dc electric field has been revealed in paratellurite (TeO 2 ) crystals. These domains differ from those arising in ferroics (ferromagnets, ferroelectrics, ferroelastics, etc.). The effect is characterized by the existence of a threshold field strength (at which domains begin to be formed) and long equilibrium settling times (up to a few hours, depending on the electric field strength). A crystal returns to the initial single domain state also after a few hours after the field is switched off. High resolution triple crystal X ray diffractometry has revealed that domains retaining the paraelastic tetragonal phase rotate with respect to each other in space without changing their lattice param eter. The domain sizes are 2-4 mm, depending on the field strength. Currently, the exact mechanisms of domain formation are unclear. Possible reasons for the formation of these defects and an analogy of the observed effects with the behavior of liquid crystals under electric field are discussed.

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A New Multifunction Acousto-Optic Signal Processor

Cited by 7 publications

References 5 publications

Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures

Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures

Analysis of DNA sequences by an optical time-integrating correlator

Formation of unusual nonferroic domains in TeO2 single crystals under external electric field

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