# US 8,786,480 B2 · Data conversion method based on negative β-map

> Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt

- Number: US 8,786,480 B2
- Document ID: US8786480B2
- Status: Granted
- Kind: B2
- Application number: 13/638,646
- Filed: 2011-03-22
- Published: 2013-01-31
- Granted: 2014-07-22
- Earliest claimed: 2010-04-06
- Assignees: Japan Science and Technology Agency
- Applicants: Yoshihiko Horio; Kenya Jinno; Tohru Kohda; Kazuyuki Aihara
- Inventors: Yoshihiko Horio; Kenya Jinno; Tohru Kohda; Kazuyuki Aihara
- Web page: https://patentgrep.com/patent/US8786480B2

## CPC

- H03M 1/0692: {using a diminished radix representation, e.g. radix 1.95}
- H03M 1/403: {using switched capacitors}
- 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)

## Abstract

There is provided a data conversion method based on negative β-map suited for an A/D converter or chaos generator, that is adapted to an integrated circuit and capable of providing stable operation of the circuit. The data conversion method based on negative β-map includes a discrete time integrator 1 having an amplification coefficient s and a damping factor β, a quantizer 2 connected in series to the discrete time integrator 1, and a feedback circuit connected from an output of the quantizer 2 to an input of the discrete time integrator 1.

## Claims

### Claim 1

An A/D converter for a data conversion method based on negative β-map comprising:
a discrete time integrator;
a quantizer Qθ(•) connected in series to the discrete time integrator; and
a feedback circuit including a coefficient multiplier connected from an output of the quantizer Qθ(•) to an input of the discrete time integrator,
wherein the A/D converter is configured to convert data using negative β-map, and wherein the discrete time integrator has an amplification coefficient s and a damping factor β, and the feedback circuit comprises a β coefficient multiplier and a logic inverter.

### Claim 2 (depends on 1)

The A/D converter for a data conversion method based on negative β-map according to claim 1, wherein the A/D converter is implemented using a switched capacitor integrator circuit.

### Claim 3 (depends on 1)

The A/D converter for a data conversion method based on negative β-map according to claim 1, wherein the A/D converter is configured as a chaos generator by extending a bit length L thereof to the infinite.

### Claim 4 (depends on 3)

The A/D converter for a data conversion method based on negative β-map according to claim 3, wherein a chaotic time series having an initial value xinput is obtained by operating an A/D converter based on negative β-map R (•) to sample an input signal xinput at discrete time t1, and repeat the mapping L-times to obtain a conversion bit series BS (xinput) having the bit length L, and by extending the bit length to the infinite (L=∞) in the operation.

### Claim 5 (depends on 4)

The A/D converter for a data conversion method based on negative β-map according to claim 4, wherein, if the initial value is not required to be set up, −∞<n<∞ at the discrete time tn is provided wherein the circuit subjected to sampling of the input signal is eliminated to configure a compact chaos generator.

### Claim 6

An A/D converter for a data conversion method based on negative β-map comprising:
a discrete time integrator;
a quantizer QθS(•) connected in series to the discrete time integrator; and
a feedback circuit including a coefficient multiplier connected from an output of the quantizer QθS(•) to an input of the discrete time integrator,
wherein the A/D converter is configured to convert data using negative β-map, and wherein the discrete time integrator has a damping factor β, and the feedback circuit comprises a β coefficient multiplier and a logic inverter.

### Claim 7 (depends on 6)

The A/D converter for a data conversion method based on negative β-map according to claim 6 wherein the A/D converter is implemented using a switched capacitor integrator circuit.

### Claim 8 (depends on 6)

The A/D converter for a data conversion method based on negative β-map according to claim 6, wherein the A/D converter is configured as a chaos generator by extending a bit length L thereof to the infinite.

### Claim 9 (depends on 8)

The A/D converter for a data conversion method based on negative β-map according to claim 8, wherein a chaotic time series having an initial value xinput is obtained by operating an A/D converter based on negative β-map R (•) to sample an input signal xinput at discrete time t1, and repeat the mapping L-times to obtain a conversion bit series BS (xinput) having the bit length L, and by extending the bit length to the infinite (L=∞) in the operation.

### Claim 10 (depends on 9)

The A/D converter for a data conversion method based on negative β-map according to claim 9, wherein, if the initial value is not required to be set up, −∞<n<∞ at the discrete time tn is provided wherein the circuit subjected to sampling of the input signal is eliminated to configure a compact chaos generator.

### Claim 11

An A/D converter for a data conversion method based on negative β-map comprising:
a discrete time integrator;
a quantizer Qθ(•) connected in series to the discrete time integrator; and
a feedback circuit including a coefficient multiplier connected from an output of the quantizer Qθ(•) to an input of the discrete time integrator,
wherein the A/D converter is configured to convert data using negative β-map, and wherein the discrete time integrator has an amplification coefficient s and a damping factor β, and the feedback circuit comprises a (β−1) coefficient multiplier.

### Claim 12 (depends on 11)

The A/D converter for a data conversion method based on negative β-map according to claim 11 wherein the A/D converter is implemented using a switched capacitor integrator circuit.

### Claim 13 (depends on 11)

The A/D converter for a data conversion method based on negative β-map according to claim 11, wherein the A/D converter is configured as a chaos generator by extending a bit length L thereof to the infinite.

### Claim 14 (depends on 13)

The A/D converter for a data conversion method based on negative β-map according to claim 13, wherein a chaotic time series having an initial value xinput is obtained by operating an A/D converter based on negative β-map R (•) to sample an input signal xinput at discrete time t1, and repeat the mapping L-times to obtain a conversion bit series BS (xinput) having the bit length L, and by extending the bit length to the infinite (L=∞) in the operation.

### Claim 15 (depends on 14)

The A/D converter for a data conversion method based on negative β-map according to claim 14, wherein, if the initial value is not required to be set up, −∞<n<∞ at the discrete time tn is provided wherein the circuit subjected to sampling of the input signal is eliminated to configure a compact chaos generator.

### Claim 16

An A/D converter for a data conversion method based on negative β-map comprising:
a discrete time integrator;
a quantizer QθS(•) connected in series to the discrete time integrator; and
a feedback circuit including a coefficient multiplier connected from an output of the quantizer QθS(•) to an input of the discrete time integrator,
wherein the A/D converter is configured to convert data using negative β-map, and wherein the discrete time integrator has a damping factor β, and the feedback circuit comprises a (β−1) coefficient multiplier.

### Claim 17 (depends on 16)

The A/D converter for a data conversion method based on negative β-map according to claim 16 wherein the A/D converter is implemented using a switched capacitor integrator circuit.

### Claim 18 (depends on 16)

The A/D converter for a data conversion method based on negative β-map according to claim 16, wherein the A/D converter is configured as a chaos generator by extending a bit length to the infinite.

### Claim 19 (depends on 18)

The A/D converter for a data conversion method based on negative β-map according to claim 18, wherein a chaotic time series having an initial value xinput is obtained by operating an A/D converter based on negative β-map R (•) to sample an input signal xinput at discrete time t1, and repeat the mapping L-times to obtain a conversion bit series BS (xinput) having the bit length L, and by extending the bit length to the infinite (L=∞) in the operation.

### Claim 20 (depends on 19)

The A/D converter for a data conversion method based on negative β-map according to claim 19, wherein, if the initial value is not required to be set up, −∞<n<∞ at the discrete time tn is provided wherein the circuit subjected to sampling of the input signal is eliminated to configure a compact chaos generator.