(1) Simple low-pass FIR filter examples

[Graphics:../Images/index_gr_19.gif]
[Graphics:../Images/index_gr_20.gif]

Sampling frequency for experiments

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Filter length L = 10

Define impulse response sequence [Graphics:../Images/index_gr_22.gif]
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Frequency response function [Graphics:../Images/index_gr_25.gif]
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Plots of frequency response function [Graphics:../Images/index_gr_27.gif]
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Plots of frequency response function [Graphics:../Images/index_gr_30.gif] as a function of [Graphics:../Images/index_gr_31.gif]
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Output of system with noisy sinusoidal input
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Filter length L = 30

Define impulse response sequence [Graphics:../Images/index_gr_36.gif]
[Graphics:../Images/index_gr_37.gif]
[Graphics:../Images/index_gr_38.gif]
Frequency response function [Graphics:../Images/index_gr_39.gif]
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Plots of frequency response function [Graphics:../Images/index_gr_41.gif]
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Plots of frequency response function [Graphics:../Images/index_gr_44.gif] as a function of [Graphics:../Images/index_gr_45.gif]
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Output of system with noisy sinusoidal input
[Graphics:../Images/index_gr_48.gif]

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Filter length L = 100

Define impulse response sequence [Graphics:../Images/index_gr_50.gif]
[Graphics:../Images/index_gr_51.gif]
[Graphics:../Images/index_gr_52.gif]
Frequency response function [Graphics:../Images/index_gr_53.gif]
[Graphics:../Images/index_gr_54.gif]
Plots of frequency response function [Graphics:../Images/index_gr_55.gif]
[Graphics:../Images/index_gr_56.gif]

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Plots of frequency response function [Graphics:../Images/index_gr_58.gif] as a function of [Graphics:../Images/index_gr_59.gif]
[Graphics:../Images/index_gr_60.gif]

[Graphics:../Images/index_gr_61.gif]

Output of system with noisy sinusoidal input
[Graphics:../Images/index_gr_62.gif]

[Graphics:../Images/index_gr_63.gif]


Converted by Mathematica      March 25, 2003