Publication

Sampling method, reconstruction method, and device for sampling and/or reconstructing signals

Martin Vetterli, Pina Marziliano
2003
Patents

Abstract

Reconstruction method for reconstructing a first signal (x(t)) regularly sampled at a sub-Nyquist rate, comprising the step of retrieving from the regularly spaced sampled values (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t) can be reconstructed. The reconstructed signal (x(t) can be represented as a sequence of known functions ( gamma (t) weighted by the weights (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation ( rho ) of the first signal (x(t)).

Official source

https://infoscience.epfl.ch/entities/publication/da2bc185-e993-47dc-8784-ca38761939df

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Martin Vetterli, Pina Marziliano
2003
Patents

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/da2bc185-e993-47dc-8784-ca38761939df

About this result

Related concepts (21)

Sampling (statistics)

In statistics, quality assurance, and survey methodology, sampling is the selection of a subset or a statistical sample (termed sample for short) of individuals from within a statistical population to estimate characteristics of the whole population. Statisticians attempt to collect samples that are representative of the population. Sampling has lower costs and faster data collection compared to recording data from the entire population, and thus, it can provide insights in cases where it is infeasible to measure an entire population.

Sampling (signal processing)

In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave to a sequence of "samples". A sample is a value of the signal at a point in time and/or space; this definition differs from the term's usage in statistics, which refers to a set of such values. A sampler is a subsystem or operation that extracts samples from a continuous signal. A theoretical ideal sampler produces samples equivalent to the instantaneous value of the continuous signal at the desired points.

Nyquist rate

In signal processing, the Nyquist rate, named after Harry Nyquist, is a value (in units of samples per second or hertz, Hz) equal to twice the highest frequency (bandwidth) of a given function or signal. When the function is digitized at a higher sample rate (see ), the resulting discrete-time sequence is said to be free of the distortion known as aliasing. Conversely, for a given sample-rate the corresponding Nyquist frequency in Hz is one-half the sample-rate.

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Sampling method, reconstruction method, and device for sampling and/or reconstructing signals

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