(2) Simple high-pass FIR filter examples

Filter length L = 2

[Graphics:../Images/index_gr_64.gif]

Define impulse response sequence [Graphics:../Images/index_gr_65.gif]
[Graphics:../Images/index_gr_66.gif]
[Graphics:../Images/index_gr_67.gif]
Frequency response function [Graphics:../Images/index_gr_68.gif]
[Graphics:../Images/index_gr_69.gif]
Plots of frequency response function [Graphics:../Images/index_gr_70.gif]
[Graphics:../Images/index_gr_71.gif]

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Plots of frequency response function [Graphics:../Images/index_gr_73.gif] as a function of [Graphics:../Images/index_gr_74.gif]
[Graphics:../Images/index_gr_75.gif]

[Graphics:../Images/index_gr_76.gif]

Output of system with noisy sinusoidal input
[Graphics:../Images/index_gr_77.gif]

[Graphics:../Images/index_gr_78.gif]

Filter length L = 3

[Graphics:../Images/index_gr_79.gif]

Define impulse response sequence [Graphics:../Images/index_gr_80.gif]
[Graphics:../Images/index_gr_81.gif]
[Graphics:../Images/index_gr_82.gif]
Frequency response function [Graphics:../Images/index_gr_83.gif]
[Graphics:../Images/index_gr_84.gif]
Plots of frequency response function [Graphics:../Images/index_gr_85.gif]
[Graphics:../Images/index_gr_86.gif]

[Graphics:../Images/index_gr_87.gif]

Plots of frequency response function [Graphics:../Images/index_gr_88.gif] as a function of [Graphics:../Images/index_gr_89.gif]
[Graphics:../Images/index_gr_90.gif]

[Graphics:../Images/index_gr_91.gif]

Output of system with noisy sinusoidal input
[Graphics:../Images/index_gr_92.gif]

[Graphics:../Images/index_gr_93.gif]

Filter length L = 4

[Graphics:../Images/index_gr_94.gif]

Define impulse response sequence [Graphics:../Images/index_gr_95.gif]
[Graphics:../Images/index_gr_96.gif]
[Graphics:../Images/index_gr_97.gif]
Frequency response function [Graphics:../Images/index_gr_98.gif]
[Graphics:../Images/index_gr_99.gif]
Plots of frequency response function [Graphics:../Images/index_gr_100.gif]
[Graphics:../Images/index_gr_101.gif]

[Graphics:../Images/index_gr_102.gif]

Plots of frequency response function [Graphics:../Images/index_gr_103.gif] as a function of [Graphics:../Images/index_gr_104.gif]
[Graphics:../Images/index_gr_105.gif]

[Graphics:../Images/index_gr_106.gif]

Output of system with noisy sinusoidal input
[Graphics:../Images/index_gr_107.gif]

[Graphics:../Images/index_gr_108.gif]

Filter length L = 5

[Graphics:../Images/index_gr_109.gif]

Define impulse response sequence [Graphics:../Images/index_gr_110.gif]
[Graphics:../Images/index_gr_111.gif]
[Graphics:../Images/index_gr_112.gif]
Frequency response function [Graphics:../Images/index_gr_113.gif]
[Graphics:../Images/index_gr_114.gif]
Plots of frequency response function [Graphics:../Images/index_gr_115.gif]
[Graphics:../Images/index_gr_116.gif]

[Graphics:../Images/index_gr_117.gif]

Plots of frequency response function [Graphics:../Images/index_gr_118.gif] as a function of [Graphics:../Images/index_gr_119.gif]
[Graphics:../Images/index_gr_120.gif]

[Graphics:../Images/index_gr_121.gif]

Output of system with noisy sinusoidal input
[Graphics:../Images/index_gr_122.gif]

[Graphics:../Images/index_gr_123.gif]


Converted by Mathematica      March 25, 2003