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Kobayashi Lab. Gunma University
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:
:
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3 2 5 37 2
23
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94
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2, 3, 5
N=2x3x5 = 30
0 N-1(=29) k
a: k 2 a= mod2 (k)
b: k 3 b= mod3(k)
c: k 5 c= mod5(k)
k (a, b, c) 1 1
k (a, b, c)
(Chinese Remainder Theorem)
(a, b, c) k
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2, 3, 5
N=2x3x5 = 30
0 N-1(=29) k
a: k 2 a= mod2 (k)
b: k 3 b= mod3(k)
c: k 5 c= mod5(k)
k (a, b, c) 1 1
k (a, b, c)
(Chinese Remainder Theorem)
(a, b, c) k
a b c a b c
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Ts = 1/fs
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SW ON
Vout(t) = Vin(t)
Track
SW OFF
Vout(t) = Vin(tOFF)
Hold
Track Hold
Sample
Sample
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(aliasing)16/36
t t
1kHz1 1000
7kHz1 7000
f f1kHz 7kHz
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: 1/2
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PolyphaseFilter
cos90 cos , sin
RC David Hilbert
1862-1943
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27 7 : 6
,
6kHz1kHz
cos ,sin
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27kHz
7kHz
6kHz
:
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,
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a b c a b c
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, , ( )
(1Hz )
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m1, m2, m3 k
a b c a b c
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,
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. .
Xiaowei Li, Hong Liang, and Xiang-Gen Xia,
From Undersampled
IEEE Trans. Signal Processing, vol. 57, no.11 (Nov. 2009).
(RC )
. RC .
Yoshiro Tamura, Ryo Sekiyama, Koji Asami, Haruo Kobayashi,
"RC Polyphase Filter As Complex Analog Hilbert Filter",IEEE 13th International Conference on Solid-State and Integrated Circuit Technology, Hangzhou (Oct. 2016).
http://kobaweb.ei.st.gunma-u.ac.jp/news/pdf/2016/ICSICTpresentation1021.pdf
http://ieeexplore.ieee.org/document/7999091/
http://kobaweb.ei.st.gunma-u.ac.jp/lecture/WE2B-1.pdf
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Q&A
Q1. 1 10
Q2.
Q3.
Q4.