Measurements for Water: Meten aan water, signalen
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Transcript of Measurements for Water: Meten aan water, signalen
Measurements for
water
Rolf Hut
Meten aan water: signalen
Challenge the future
DelftUniversity ofTechnology
Meten aan WaterSignalen
Rolf Hut
Friday, November 18, 2011
Signalen
Signalen
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Friday, November 18, 2011
Signalen
Signalen
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Friday, November 18, 2011
0 5 10 15 20 25 30 35 40 45 501
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0
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0.8
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time in seconds
Ampl
itude
Signalen
Signalen
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Friday, November 18, 2011
Signalen
Signalen
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Friday, November 18, 2011
Signalen
Signalen
2
Friday, November 18, 2011
Signalen
Signalen
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Friday, November 18, 2011
Signalen
Signalen
•signaal = verzameling (meet)waarden waarbij ordening van belang is
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f : Cn → C
Friday, November 18, 2011
Signalen
Signalen
•signaal = verzameling (meet)waarden waarbij ordening van belang is
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f : Cn → Cf : Rn → Cf : R → R 1-D real signal
Friday, November 18, 2011
•periodic signals
•Complex exponential functions
•Periodic Complex Signals
Signalen
Speciale Signalen
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f (t) = f (t+ T )
f (t) = Ceat
f (t) = eiω0t
eiω0t = cosω0t+ j sinω0t
Friday, November 18, 2011
•Periodic Complex Signals
Signalen
Speciale Signalen
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f (t) = eiω0t
eiω0t = cosω0t+ j sinω0t
Friday, November 18, 2011
•Periodic Complex Signals
Signalen
Speciale Signalen
5
f (t) = eiω0t
eiω0t = cosω0t+ j sinω0t
A cos (ω0t+ φ) =A
2eiφeiω0t +
A
2e−iφe−iω0t
Friday, November 18, 2011
Signalen
Speciale Signalen
•Step function
•Impulse function
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u (t) =
�0, t < 0
1, t > 0
u (t) =
� t
−∞δ (t) dt
Friday, November 18, 2011
fp (t) =∞�
−∞f (nT ) δ (t− nT )
Signalen
Meet Signalen
7
Friday, November 18, 2011
fp (t) =∞�
−∞f (nT ) δ (t− nT )
Signalen
Meet Signalen
7
Friday, November 18, 2011
fp (t) =∞�
−∞f (nT ) δ (t− nT )
Signalen
Meet Signalen
7
Friday, November 18, 2011