US 2025/0055445 A1Published application

Filter system and method of designing a convolutional filter

AssigneesOxford University Innovation Limited, Coventry University

InventorManus Patrick HENRY

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Abstract

A filter system for filtering an input signal comprises a network of Prism filters including at least one cosine Prism filter and at least one sine Prism filter. The network comprises a first branch (210) in parallel with a second branch, (220) each branch arranged to receive the input signal as an input, the first branch comprising the cosine Prism filter/s (211), the second branch comprising the sine Prism filter/s (221). The network of Prism filters is arranged to generate an output signal based on a combination of an output of the first branch with an output of the second branch. A method of designing a convolutional filter is also provided, comprising inputting a test signal into a filter system to generate an impulse response of the filter system and generating a convolutional filter based on the impulse response.

Claims25

Dependent claims

A filter system for filtering an input signal, the filter system comprising:

a network of Prism filters arranged to receive the input signal as an input, the network of Prism filters comprising at least one cosine Prism filter and at least one sine Prism filter, wherein:
each Prism filter is configured to evaluate combinations of double integrals of the form:
I
[
S
]
[
C
]
[
S
]
[
C
]
h
=
m
2
⁢
∫
-
1
m
0
[
sin
⁢
❘
"\[LeftBracketingBar]"
cos
]
⁢
(
2
⁢
π
⁢
hmt
+
q
)
⁢
(
∫
t
-
1
m
t
[
sin
⁢
❘
"\[LeftBracketingBar]"
cos
]
⁢
(
2
⁢
π
⁢
hmt
+
q
)
·
s
⁡
(
t
)
⁢
dt
)
⁢
dt
,
where s(t) is an input to the respective Prism filter, m is a characteristic frequency of the respective Prism filter, [sin|cos] represents a sine or a cosine operation, q is an optional, arbitrary phase offset variable, and h is a harmonic number of the respective Prism filter of the network of Prism filters:
each cosine Prism filter is configured to determine a respective cosine output Gch, where Gch=Icsh−Isch;
and
each sine Prism filter is configured to determine a respective sine output Gsh, where Gsh=Issh+Icch;
wherein the network of Prism filters comprises a first branch in parallel with a second branch, each of the first branch and second branch arranged to receive the input signal as an input, the first branch comprising the at least one cosine Prism filter, the second branch comprising the at least one sine Prism filter, and wherein the network of Prism filters is arranged to generate an output signal based on a combination of an output of the first branch with an output of the second branch.

81 more elements

Dependencies are inferred from the claim text.