Ultrasound image reconstruction using the finite-rate-of-innovation principle

Mulleti, Satish; Nagesh, Sudarshan; Langoju, Rajesh; Patil, Abhijit; Seelamantula, Chandra Sekhar

doi:10.1109/icip.2014.7025346

Cited by 21 publications

(5 citation statements)

References 22 publications

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“…The FRI signal model in Equation () is encountered in several scientific applications such as radar imaging [29–31], ultrasound imaging [24, 32, 33], light detection and ranging [34], time‐domain optical coherence tomography [35], and other time‐of‐flight imaging systems. In these applications, h ( t ) is the transmitted pulse and

{\left\{{a}_{\ell }h\left(t-{t}_{\ell }\right)\right\}}_{\ell =1}^{L}

constitute the reflections from L point targets.…”

Section: Resultsmentioning

confidence: 99%

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

Mulleti

Eliya

Savariego

et al. 2023

IET Circuits, Devices & Syst

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Key parameters of analog‐to‐digital converters (ADCs) are their sampling rate and dynamic range. Power consumption and cost of an ADC are directly proportional to the sampling rate; hence, it is desirable to keep it as low as possible. The dynamic range of an ADC also plays an important role, and ideally, it should be greater than the signal's; otherwise, the signal will be clipped. To avoid clipping, modulo folding can be used before sampling, followed by an unfolding algorithm to recover the true signal. Here, the authors present a modulo hardware prototype that can be used before sampling to avoid clipping. The authors’ modulo hardware operates prior to the sampling mechanism and can fold higher frequency signals compared to existing hardware. The authors present a detailed design of the hardware and also address key issues that arise during implementation. In terms of applications, the authors show the reconstruction of finite‐rate‐of‐innovation signals, which are beyond the dynamic range of the ADC. The authors’ system operates at six times below the Nyquist rate of the signal and can accommodate eight times larger signals than the ADC's dynamic range.

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{\left\{{a}_{\ell }h\left(t-{t}_{\ell }\right)\right\}}_{\ell =1}^{L}

constitute the reflections from L point targets.…”

Section: Resultsmentioning

confidence: 99%

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

Mulleti

Eliya

Savariego

et al. 2023

IET Circuits, Devices & Syst

Self Cite

View full text Add to dashboard Cite

show abstract

“…are unknown parameters. This signal model is ubiquitous in applications such as radar [25]- [27], ultrasound [23], [28], and more. In these applications, h(t) denotes a known transmit pulse which is reflected from L targets.…”

Section: B Problem Formulationmentioning

confidence: 99%

FRI-TEM: Time Encoding Sampling of Finite-Rate-of-Innovation Signals

Naaman¹,

Mulleti²,

Eldar³

2021

Preprint

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Classical sampling is based on acquiring signal amplitudes at specific points in time, with the minimal sampling rate dictated by the degrees of freedom in the signal. The samplers in this framework are controlled by a global clock that operates at a rate greater than or equal to the minimal sampling rate. At high sampling rates, clocks are power-consuming and prone to electromagnetic interference. An integrate-and-fire time encoding machine (IF-TEM) is an alternative power-efficient sampling mechanism which does not require a global clock. Here, the samples are irregularly spaced threshold-based samples. In this paper, we investigate the problem of sampling finite-rate-ofinnovation (FRI) signals using an IF-TEM. We provide theoretical recovery guarantees for an FRI signal with arbitrary pulse shape and without any constraint on the minimum separation between the pulses. In particular, we show how to design a sampling kernel, IF-TEM, and recovery method such that the FRI signals are perfectly reconstructed. We then propose a modification to the sampling kernel to improve noise robustness. Our results enable designing low-cost and energy-efficient analogto-digital converters for FRI signals.

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“…Depending upon the number of parameters, the signal model efficiently represents a wider class of curves that are more complex than polygons. Recently, De and Seelamantula [18] developed the separable extension of the 1-D non-repeating sum-of-sincs (NR-SoS) kernel [19] to arrive at 2-D NR-SoS and 2-D SMS kernels.…”

Section: A Sampling Kernelsmentioning

confidence: 99%

“…Consider rotation of a function ϑ( Ω x , Ω y ) = sinc Ω x + Ω y sinc Ω y − Ω x by θ = 45 • . Since energy of ϑ( Ω x , Ω y ) is preserved by the rotation operator R = cos θ − sin θ sin θ cos θ , we substitute the rotated ϑ( Ω x , Ω y ) in (19). Thus the right-hand side of ( 19) is given by…”

Section: ω0xmentioning

confidence: 99%

Generalized Design of Sampling Kernels for 2-D FRI Signals

Shastri¹,

Rudresh²,

Seelamantula³

2019

Preprint

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One of the interesting problems in the finite-rate-of-innovation signal sampling framework is the design of compactly supported sampling kernels. In this paper, we present a generic framework for designing sampling kernels in 2-D. We consider both separable and nonseparable kernels. The design is carried out in the frequency domain, where a set of alias cancellation conditions are imposed on the kernel's frequency response. The Paley-Wiener theorem for 2-D signals is invoked to arrive at admissible kernels with a compact support. As a specific case, we show that a certain separable extension of the 1-D design framework results in 2-D sum-of-modulated-spline (SMS) kernels. Similar to their 1-D counterparts, the 2-D SMS kernels have the attractive feature of reproducing a class of 2-D polynomial-modulated exponentials of a desired order. Also, the support of the kernels is independent of the order. The design framework is generic and also allows one to design nonseparable sampling kernels. To this end, we demonstrate the design of a nonseparable kernel and present simulation results.

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Ultrasound image reconstruction using the finite-rate-of-innovation principle

Cited by 21 publications

References 22 publications

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

A hardware prototype of wideband high‐dynamic range analog‐to‐digital converter

FRI-TEM: Time Encoding Sampling of Finite-Rate-of-Innovation Signals

Generalized Design of Sampling Kernels for 2-D FRI Signals

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