# US 10,120,966 B2 · Information processing device and waveform verification method

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- Number: US 10,120,966 B2
- Document ID: US10120966B2
- Status: Granted
- Kind: B2
- Application number: 15/087,091
- Filed: 2016-03-31
- Published: 2016-11-17
- Granted: 2018-11-06
- Earliest claimed: 2015-05-14
- Assignees: Fujitsu Limited
- Applicants: Fujitsu Limited
- Inventors: Hikoyuki Kawata; Masaki Tosaka; Kumiko Teramae
- Web page: https://patentgrep.com/patent/US10120966B2

## CPC

- G06F 30/367: Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
- G06F 2119/10: Noise analysis or noise optimisation
- G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N)

## Abstract

An information processing device include: a memory; and one or more processors which are coupled to the memory, wherein the one or more processors performs a process including verifying a quality of a signal waveform that is propagated through focused wiring on a substrate; and storing information which is used for the verification of the quality of the signal waveform, and wherein the verifying includes determining a relative permittivity of the substrate in a division position of a variation range of the relative permittivity of the substrate such that a variation range of a propagation delay time of the signal waveform corresponding to the variation range of the relative permittivity of the substrate is divided at even intervals; generating an analysis model corresponding to the relative permittivity of the substrate in the determined division position; and performing waveform analysis on the signal waveform using the generated analysis model.

## Claims

### Claim 1

A non-transitory, computer-readable recording medium which stores a waveform verification program that causes a memory and one or more processors, which are coupled to the memory and configured to verify a quality of a signal waveform that is propagated through focused wiring on a substrate, to perform a process comprising:
determining a relative permittivity of the substrate in a division position of a variation range of the relative permittivity of the substrate such that a variation range of a propagation delay time of the signal waveform corresponding to the variation range of the relative permittivity of the substrate is divided at even intervals;
generating an analysis model corresponding to the relative permittivity of the substrate in the determined division position;
performing waveform analysis on the signal waveform using the generated analysis model; and
generating an eye pattern according to the waveform analysis performed on the signal waveform for each analysis model.

### Claim 2 (depends on 1)

The computer-readable recording medium which stores a waveform verification program according to claim 1,
wherein, if it is assumed that the relative permittivity of the substrate in an n-th (n is an integer which is equal to or greater than 0) division position is ∈r(n), the waveform verification program causes the computer to perform a process including
respectively determining the relative permittivities ∈r(0) and ∈r(n+1) of the substrate in 0-th and (n+1)-th division positions by equations ∈r(0)=∈r_min and
ɛ
⁢
⁢
r
⁡
(
n
+
1
)
=
(
UI
N
×
L
⁢
μ
0
⁢
ɛ
0
+
ɛ
⁢
⁢
r
⁡
(
n
)
)
2
,
where, ∈r_min is a minimum value of the variation range of the relative permittivity of the substrate, L is a wiring length of the focused wiring, a Unit Interval (UI) is a time of one bit length of a data signal (inverse number of a bit rate), N is the number of divisions performed on bits in a case of the waveform analysis, μ0 is a vacuum magnetic permeability, and ∈0 is a vacuum permeability.

### Claim 3 (depends on 2)

The computer-readable recording medium which stores a waveform verification program according to claim 2,
wherein the waveform verification program causes the computer to perform a process including
ending determination of the relative permittivity based on equations ∈r(0)=∈r_min and
ɛ
⁢
⁢
r
⁡
(
n
+
1
)
=
(
UI
N
×
L
⁢
μ
0
⁢
ɛ
0
+
ɛ
⁢
⁢
r
⁡
(
n
)
)
2
,
at a point in time at which the relative permittivity ∈r(n+1) of the substrate in the (n+1)-th division position is equal to or greater than the maximum value of the substrate relative permittivity variation range.

### Claim 4 (depends on 1)

The computer-readable recording medium which stores a waveform verification program according to claim 1,
wherein the waveform verification program causes the computer to perform a process including
displaying the generated eye pattern on a display section.

### Claim 5 (depends on 1)

The computer-readable recording medium which stores a waveform verification program according to claim 1,
wherein the waveform verification program causes the computer to perform a process including
judging the quality of the signal waveform based on the generated eye pattern.

### Claim 6

An information processing device comprising:
a memory; and
one or more processors which are coupled to the memory,
wherein the one or more processors performs a process including
verifying a quality of a signal waveform that is propagated through focused wiring on a substrate; and
storing information which is used for the verification of the quality of the signal waveform, and
wherein the verifying includes
determining a relative permittivity of the substrate in a division position of a variation range of the relative permittivity of the substrate such that a variation range of a propagation delay time of the signal waveform corresponding to the variation range of the relative permittivity of the substrate is divided at even intervals;
generating an analysis model corresponding to the relative permittivity of the substrate in the determined division position;
performing waveform analysis on the signal waveform using the generated analysis model; and
generating an eye pattern according to the waveform analysis performed on the signal waveform for each analysis model.

### Claim 7 (depends on 6)

The information processing device according to claim 6,
wherein, if it is assumed that the relative permittivity of the substrate in an n-th (n is an integer which is equal to or greater than 0) division position is ∈r(n), the verifying includes
respectively determining the relative permittivities ∈r(0) and ∈r(n+1) of the substrate in 0-th and (n+1)-th division positions by equations ∈r(0)=∈r_min and
ɛ
⁢
⁢
r
⁡
(
n
+
1
)
=
(
UI
N
×
L
⁢
μ
0
⁢
ɛ
0
+
ɛ
⁢
⁢
r
⁡
(
n
)
)
2
,
where, ∈r_min is a minimum value of the variation range of the relative permittivity of the substrate, L is a wiring length of the focused wiring, a Unit Interval (UI) is a time of one bit length of a data signal (inverse number of a bit rate), N is the number of divisions performed on bits in a case of the waveform analysis, μ0 is a vacuum magnetic permeability, and ∈0 is a vacuum permeability.

### Claim 8 (depends on 7)

The information processing device according to claim 7,
wherein the verifying includes
ending determination of the relative permittivity based on equation (13) at a point of time in which the relative permittivity ∈r(n+1) of the substrate in the (n+1)-th division position is equal to or greater than the maximum value of the substrate relative permittivity variation range.

### Claim 9 (depends on 6)

The information processing device according to claim 6,
wherein the verifying includes
displaying the generated eye pattern on a display.

### Claim 10 (depends on 6)

The information processing device according to claim 6,
wherein the verifying includes
judging the quality of the signal waveform based on the generated eye pattern.

### Claim 11

A waveform verification method for causing a computer to verify a quality of a signal waveform that is propagated through focused wiring on a substrate, the waveform verification method comprising:
determining a relative permittivity of the substrate in a division position of a variation range of the relative permittivity of the substrate such that a variation range of a propagation delay time of the signal waveform corresponding to the variation range of the relative permittivity of the substrate is divided at even intervals;
generating an analysis model corresponding to the relative permittivity of the substrate in the determined division position; and
performing waveform analysis on the signal waveform using the generated analysis model; and
generating an eye pattern according to the waveform analysis performed on the signal waveform for each analysis model.

### Claim 12 (depends on 11)

The waveform verification method according to claim 11, wherein, if it is assumed that the relative permittivity of the substrate in an n-th (n is an integer which is equal to or greater than 0) division position is ∈r(n), the relative permittivities ∈r(0) and ∈r(n+1) of the substrate in 0-th and (n+1)-th division positions are determined by equations ∈r(0)=∈r_min and
ɛ
⁢
⁢
r
⁡
(
n
+
1
)
=
(
UI
N
×
L
⁢
μ
0
⁢
ɛ
0
+
ɛ
⁢
⁢
r
⁡
(
n
)
)
2
,
where, ∈r_min is a minimum value of the variation range of the relative permittivity of the substrate, L is a wiring length of the focused wiring, a Unit Interval (UI) is a time of one bit length of a data signal (inverse number of a bit rate), N is the number of divisions performed on bits in a case of the waveform analysis, μ0 is a vacuum magnetic permeability, and ∈0 is a vacuum permeability.

### Claim 13 (depends on 12)

The waveform verification method according to claim 12,
wherein the determination of the relative permittivity based on equations ∈r(0)=∈r_min and
ɛ
⁢
⁢
r
⁡
(
n
+
1
)
=
(
UI
N
×
L
⁢
μ
0
⁢
ɛ
0
+
ɛ
⁢
⁢
r
⁡
(
n
)
)
2
,
ends at a point in time at which the relative permittivity ∈r(n+1) of the substrate in the (n+1)-th division position is equal to or greater than the maximum value of the substrate relative permittivity variation range.

### Claim 14 (depends on 11)

The waveform verification method according to claim 11,
wherein the generated eye pattern is displayed on a display.

### Claim 15 (depends on 11)

The waveform verification method according to claim 11,
wherein the quality of the signal waveform is judged based on the generated eye pattern.
