# US 2013/0278295 A1 · Apparatuses for measuring high speed signals and methods thereof

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- Number: US 2013/0278295 A1
- Document ID: US20130278295A1
- Status: Published application
- Kind: A1
- Application number: 13/770,337
- Filed: 2013-02-19
- Published: 2013-10-24
- Earliest claimed: 2012-04-23
- Assignees: Georgia Tech Research Corporation; Samsung Electronics Co., Ltd.
- Applicants: Samsung Electronics Co., Ltd.; Georgia Tech Research Corporation
- Inventors: Sung Yeol KIM; Hyun Woo CHOI; Nicholas TZOU; Xian WANG; Thomas MOON; Abhijit CHATTERJEE; Ho Sun YOO
- Web page: https://patentgrep.com/patent/US20130278295A1

## CPC

- H03M 1/1245: {Details of sampling arrangements or methods}
- H03B 21/00: Generation of oscillations by combining unmodulated signals of different frequencies (H03B19/00 takes precedence; frequency changing circuits in general H03D)
- H03M 1/121: {Interleaved, i.e. using multiple converters or converter parts for one channel}
- H03M: CODING; DECODING; CODE CONVERSION IN GENERAL (using fluidic means F15C4/00; optical analogue/digital converters G02F7/00; coding, decoding or code conversion, specially adapted for particular applications, see the relevant subclasses, e.g. G01D, G01R, G06F, G06T, G09G, G10L, G11B, G11C, H04B, H04L, H04M, H04N; ciphering or deciphering for cryptography or other purposes involving the need for secrecy G09C)
- H03B: GENERATION OF OSCILLATIONS, DIRECTLY OR BY FREQUENCY-CHANGING, BY CIRCUITS EMPLOYING ACTIVE ELEMENTS WHICH OPERATE IN A NON-SWITCHING MANNER; GENERATION OF NOISE BY SUCH CIRCUITS (generators adapted for electrophonic musical instruments G10H; masers or lasers H01S; generation of oscillations in plasma H05H)

## Abstract

An apparatus for measuring a high speed signal may comprise a plurality of Analog-Digital converters (AD converter) that are arranged in parallel to each other to sample an input signal at different frequencies; a plurality of frequency synthesizers configured to provide each AD converter with a different sampling frequency; a signal processor configured to receive an output of the plurality of AD converters to reconstruct the input signal; and/or a controller configured to receive and process a trigger signal.

## Claims

### Claim 1

An apparatus for measuring a high speed signal, the apparatus comprising:
a plurality of Analog-Digital converters (AD converter) that are arranged in parallel to each other to sample an input signal at different frequencies;
a plurality of frequency synthesizers configured to provide each AD converter with a different sampling frequency;
a signal processor configured to receive an output of the plurality of AD converters to reconstruct the input signal; and
a controller configured to receive and process a trigger signal.

### Claim 2 (depends on 1)

The apparatus of claim 1, wherein the AD converters perform incoherent sampling on the input signal.

### Claim 3 (depends on 1)

The apparatus of claim 1, wherein each of the frequency synthesizers comprises a Phase Locked Loop (PLL).

### Claim 4 (depends on 1)

The apparatus of claim 1, further comprising a reference clock distributor configured to provide the plurality of frequency synthesizers with a reference clock.

### Claim 5 (depends on 1)

The apparatus of claim 1, wherein the signal processor comprises:
a multi-coset conversion module configured to merge samples, which are output from the plurality of AD converters, and to convert the merged samples into a plurality of coset samples that each has a sampling period corresponding to a least common multiple of sampling periods of the plurality of AD converters; and
a signal reconstruction module configured to model a linear equation, which comprises a linear measurement matrix composed of discrete Fourier transform (DFT) basis to reconstruct the input signal from the plurality of coset samples, and to reconstruct the input signal from the linear equation.

### Claim 6 (depends on 5)

The apparatus of claim 5, wherein the linear measurement matrix comprises a number of rows equal to or greater than a number of columns of the linear measurement matrix.

### Claim 7 (depends on 1)

The apparatus of claim 1, wherein the signal processor merges samples, which are output from the plurality of AD converters, models a linear equation configured to reconstruct the input signal from the merged samples by use of a resolution-enhanced discrete Fourier transform (DFT) frame, and reconstructs the input signal from the linear equation by use of Basis Pursuit based on L1 minimization.

### Claim 8 (depends on 1)

The apparatus of claim 1, wherein the controller determines an active band, on which energy exists, in the input signal,
wherein the controller determines a sampling frequency of one of the plurality of AD converters, and
wherein the controller calculates sampling frequencies of remaining AD converters of the plurality of AD converters such that a number of overlaps of the active band is minimized and a number of coset samples acquired from the input signal is maximized.

### Claim 9

A method of measuring a high speed signal by use of a high speed measuring apparatus comprising a plurality of Analog-Digital converters (AD converter), the method comprising:
determining an active band, on which energy exists, in the input signal;
determining a sampling frequency of one of the plurality of AD converters;
calculating sampling frequencies of remaining AD converters of the plurality of AD converters such that a number of overlaps of the active band is minimized and a number of coset samples acquired from the input signal is maximized;
merging samples that are sampled at the determined and calculated sampling frequencies and output by the plurality of AD converters;
converting the merged samples into a plurality of coset samples that each has a sampling period corresponding to a least common multiple of sampling periods of the plurality of AD converters; and
reconstructing the input signal from the plurality of coset samples.

### Claim 10 (depends on 9)

The method of claim 9, wherein in the reconstructing of the input signal from the plurality of coset samples, a linear equation comprising a linear measurement matrix, which is composed of discrete Fourier transform (DFT) basis to reconstruct the input signal from the plurality of coset samples, is modeled and the input signal is reconstructed from the linear equation.

### Claim 11 (depends on 10)

The method of claim 10, wherein the linear measurement matrix comprises a number of rows equal to or greater than a number of columns of the linear measurement matrix.

### Claim 12

A method of measuring a high speed signal by use of a high speed measuring apparatus comprising a plurality of Analog-Digital converters (AD converter), the method comprising:
determining different sampling frequencies of the plurality of AD converters;
merging samples that are sampled at the determined sampling frequencies and output by the plurality of AD converters;
modeling a linear equation configured to reconstruct an input signal from the merged samples by use of a resolution-enhanced discrete Fourier transform (DFT) frame; and
reconstructing the input signal from the linear equation by use of Basis Pursuit based on L1 minimization.

### Claim 13

An apparatus for reconstructing an input signal, the apparatus comprising:
a plurality of Analog-Digital converters (AD converter) configured to receive the input signal, to sample the input signal at different frequencies, and to output results of the samples;
a plurality of frequency synthesizers configured to provide the AD converters with different sampling frequencies; and
a signal processor configured to receive the output results of the samples and to reconstruct the input signal.

### Claim 14 (depends on 13)

The apparatus of claim 13, wherein the AD converters are arranged in parallel, and each of the AD converters has a different sampling frequency than any other of the AD converters.

### Claim 15 (depends on 13)

The apparatus of claim 13, wherein the signal processor reconstructs the input signal directly from the output results of the samples or converts the output results of the samples to a plurality of coset samples prior to reconstructing the input signal.

### Claim 16 (depends on 13)

The apparatus of claim 13, wherein a number of AD converters is equal to a number of the frequency synthesizers.

### Claim 17 (depends on 13)

The apparatus of claim 13, wherein each of the frequency synthesizers is configured to provide one of the sampling frequencies to one of the AD converters.

### Claim 18 (depends on 13)

The apparatus of claim 13, wherein each of the frequency synthesizers is configured to provide a different one of the sampling frequencies than any other of the frequency synthesizers.

### Claim 19 (depends on 13)

The apparatus of claim 13, further comprising a reference clock distributor configured to provide a reference clock to each of the frequency synthesizers.

### Claim 20 (depends on 13)

The apparatus of claim 13, further comprising a controller configured to determine the different sampling frequencies and determine a first sampling frequency associated with a first of the AD converters, and to determine a second sampling frequency associated with a second of the AD converters based on the first sampling frequency.