Linear, recursive difference equation example

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Noisy, discrete-time waveform

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Experiment #1

Difference equation definition
[Graphics:../Images/index_gr_16.gif]
Initial condition and constant α
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Time domain
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Frequency domain
[Graphics:../Images/index_gr_20.gif]

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Filter frequency response
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Experiment #2

Difference equation definition
[Graphics:../Images/index_gr_27.gif]
Initial condition and constant α
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Time domain
[Graphics:../Images/index_gr_29.gif]

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Frequency domain
[Graphics:../Images/index_gr_31.gif]

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Filter frequency response
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Experiment #3

Difference equation definition
[Graphics:../Images/index_gr_38.gif]
Initial condition and constant α
[Graphics:../Images/index_gr_39.gif]
Time domain
[Graphics:../Images/index_gr_40.gif]

[Graphics:../Images/index_gr_41.gif]

Frequency domain
[Graphics:../Images/index_gr_42.gif]

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Filter frequency response
[Graphics:../Images/index_gr_44.gif]
[Graphics:../Images/index_gr_45.gif]
[Graphics:../Images/index_gr_46.gif]
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Converted by Mathematica      January 28, 2003