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Low-rate sampling of pulse streams

A sampling unit, pulse sequence technology, used in impedance networks, digital technology networks, electrical components, etc.

Inactive Publication Date: 2011-09-21
TECHNION RES & DEV FOUND LTD
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The filter output is sampled to produce digital samples

Method used

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  • Low-rate sampling of pulse streams
  • Low-rate sampling of pulse streams
  • Low-rate sampling of pulse streams

Examples

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Embodiment Construction

[0016] overview

[0017] Embodiments of the invention described herein provide improved methods and systems for sampling analog pulse sequences. These methods and systems use a novel class of sampling kernels, or presampling filters, whose time-domain response is finite (i.e., confined to a finite time period) and whose frequency-domain response is within a finite set of integer multiples of the frequency shift Δω is nonzero at , and zero at all other integer multiples of Δω.

[0018] In some embodiments, the frequency domain response of the filter may be expressed as a finite sum of frequency shifted copies of a filter function at any given frequency ω. The filter function is zero at all integer multiples n·Δω (except n=0) of a certain frequency shift Δω. In some disclosed embodiments, the sampling kernel can be expressed as a finite sum of normalized sinusoidal functions of the form sin(πω) / (πω). These latter filters are referred to herein as "sum of sines" (SoS) filters....

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Abstract

The invention relates to low-rate sampling of pulse streams. A method includes accepting an analog input signal that includes a sequence of pulses. The analog input signal is filtered so as to produce a filter output, using a filter whose time-domain response is confined to a finite time period and whose frequency-domain response is non-zero at a finite set of integer multiples of a frequency shift [Delta][omega], and is zero at all other integer multiples of [Delta][omega]. The filter output is sampled so as to produce digital samples. Respective amplitudes and time positions of the pulses in the sequence are calculated based on the digital samples.

Description

technical field [0001] The present invention relates generally to signal sampling, and more particularly to methods and systems for sampling pulse streams. Background technique [0002] Perform reception and reconstruction of analog pulse trains in a wide range of applications including neuronal signal processing, biological imaging, image processing, radar systems, and ultra-wideband (UWB) communications. Various methods are known in the art for sampling and reconstructing analog pulse sequences. For example, Vetterli et al. describe some example schemes in "Sampling Signals with Finite Rate of Innovation", IEEE Transactions on Signal Processing, volume 50, no. 6, June 2002, pp. 1417-1428, which is hereby cited as Incorporated by reference. Further example schemes are described by Blu et al. in "Sparse Sampling of Signal Innovations", IEEE Signal Processing Magazine, volume 25, no. 2, March 2008, pp. 31-40, which is hereby incorporated by reference . [0003] Some sampl...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H17/02
CPCH03M1/1245H04B1/71637H03H17/06
Inventor Y·艾尔达R·特尔Z·福德曼
Owner TECHNION RES & DEV FOUND LTD