Convolution and Time Inversion Using Parametric Interactions of Acoustic Surface Waves

Luukkala, M.; Kino, G. S.

doi:10.1063/1.1653713

Cited by 123 publications

(4 citation statements)

References 4 publications

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“…An alternative strategy, which has been used in past attempts to create non-linear SAW processors is using the non-linear compliance of the substrate material [18,19,15]. This non-linear compliance produces intermodulation distortion of signals within a SAW system.…”

Section: Discussionmentioning

confidence: 99%

Non-linear processing with a Surface Acoustic Wave reservoir computer

Meffan

Ijima

Banerjee

et al. 2023

Preprint

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Reservoir computing is a neural network algorithm that reduces the training needed for a neural network to be function. Recently, reservoir computing has been implemented using MEMs devices with prevalent non-linear dynamics to perform non-linear processing tasks. While partially explored in the past, there has been renewed interest in using Surface Acoustic Wave devices as low energy radio-frequency processors. However they have yet to be explored in the reservoir computing framework. In this work, a 39.16 MHz two-port SAW resonator on chemically reduced YZ Lithium Niobate is design and measured. The quality factor, insertion loss, linear transmission, and non-linear transmission of the devices is measured, and the relationship of these properties to reservoir computing is discussed. The SAW resonator is then configured as a time-multiplexed reservoir, and it's non-linear processing capabilities are discussed using the time-delayed parity benchmark.

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Section: Discussionmentioning

confidence: 99%

Non-linear processing with a Surface Acoustic Wave reservoir computer

Meffan

Ijima

Banerjee

et al. 2023

Preprint

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“…The necesscary -orocesses define-in equation (1 r< time tr-nslcation, multipnlicatlion and intee-ration of F and (3 are ca5ll nerfor:med lealino to a spatially inriant electric polarisat-ion at 2 w which mnay he couTnl out by a resonatelcap>acitor. E xnDerinental results for convolut n nsinn lit hiiLr niobate have been reporterd by Thompson & Qouatek1) and L,arson (3) for bullkc wavels at microwave fre-uencies, andc by L,uukkalka &2z1 K'ino (3) for surface waves at VHF (Fig.l).…”

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confidence: 88%

Correlation of Pseudo-Random Sequences using Parametric Interactions Between Surface Acoustic Waves

Collins

Darby

Pringle

1971

1971 2nd European Microwave Conference

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TNTrROIDTJCrION.Availa-ble surface acous1;tic wa,.ve devices for rea-7l time-domain nrocessing are linear matchedl filters which may he regarded as fixed in that a given devi-ce processes only one specific waven,form or code. EXamIles are.ulse conoressi-on filters ,nd analocrme matched filters (tapoped delaty li T 1ne;ith su;itable interconnections of taps to process biphase codiedl wavveforms). Certain envisagedi applications in sec-ure commnncnication anr-' radar systems require a specific device to -rocess a numher of orthoconAally codredl signal1 s w>hose cro DSs-or-relation functions at a pa)rticub.r time-slot are zero. Tn nrincinle, the requL4-e nent ccan be met by an electronically. progrcamm,"able analonue matcherl filter in wVhi ch the codie is v-riahle throuch electronic adjustment of the surfacre acoustic wave tap-Js by microelectronic circuits. Disadvantages cf thisa-,roch are that the construction of such devices involves complex hybrid techBoth the linear matched filter and the Correlator are ontimum in recovering signals frorm noise. Correlation 14(t), a.nd the related operation of convolution, of tw-time functions., F(t) annd (r (t), are defined! respectively R-As H(t) =J F(r) G(r-t) dr nd jF(t )G(t--) dr1(1) Twvo collinear contra-directed acoust1i'c wvtains each oncta-r ier frequency, , may be i nt:erated narame Ptrically in a ferroelectric ma-terial t.hrough the constitutive relationship p = I C SI S2 2) w!here p denotes the instanta.neous elect-ric polarisation and sl mayl, be identifiedfl with the strain fields of F a8nd (. The necesscary -orocesses define-in equation (1 r< time tr-nslcation, multipnlicatlion and intee-ration of F and (3 are ca5ll nerfor:med lealino to a spatially inriant electric polarisat-ion at 2 w which mnay he couTnl out by a resonatelcap>acitor. E xnDerinental results for convolut n nsinn lit hiiLr niobate have been reporterd by Thompson & Qouatek1) and L,arson(3)for bullkc wavels at microwave fre-uencies, andc by L,uukkalka &2z1 K'ino (3) for surface waves at VHF (Fig.l).Thi. s np?er reports correlation between a 31-bit pseudo-ranndom sequence and the time-re%vhersed replica of that sequence through the same parametric ifiteration. The device h.s a hich degree of programmabi}ity in that no wavveform coding is iosed structurally. THEORY:Two distnc theoretical aspects must be considered namely the time description of H(t) for various coded wavYveforms and the magnitude of the electromagnetic output power, P2

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“…As we know, the energy of a Rayleigh-type SAW is confined within a wavelength from the crystal surface, nonlinear behavior of SAW is therefore observed because of its high power density. The nonlinear surface acoustic waves (NLSAWs) have been also interested in application to signal processing devices such as convolver, parametric amplifier, and memory correlator [1][2][3]. Particularly, higher-order harmonics in NLSAWs have attracted much attention because of their nonlinear phenomena such as chaos, fractal, and soliton.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of second harmonic in nonlinear surface acoustic waves and a proposal of its device application

Aizawa¹,

Tokunaga²

2012

AIP Conference Proceedings

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Dynamic behavior of nonlinear surface acoustic waves (NLSAWs) generated on a piezoelectric single crystal has been much interested in application to new engineering fields from a viewpoint of the complex system. In this study, characteristics of fundamental and second-order harmonic components in NLSAWs propagating on a LiNbO 3 single crystal were investigated, and we proposed a novel photonic signal control device using the NLSAW.

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Convolution and Time Inversion Using Parametric Interactions of Acoustic Surface Waves

Cited by 123 publications

References 4 publications

Non-linear processing with a Surface Acoustic Wave reservoir computer

Non-linear processing with a Surface Acoustic Wave reservoir computer

Correlation of Pseudo-Random Sequences using Parametric Interactions Between Surface Acoustic Waves

Dynamics of second harmonic in nonlinear surface acoustic waves and a proposal of its device application

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