Comparison to oversampled case

Sampling frequency

[Graphics:../Images/index_gr_142.gif]

Continuous-time signal

[Graphics:../Images/index_gr_143.gif]

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CTFT of infinite-length x(t)

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[Graphics:../Images/index_gr_146.gif]
[Graphics:../Images/index_gr_147.gif]

[Graphics:../Images/index_gr_148.gif]

CTFT of finite-length x(t)

[Graphics:../Images/index_gr_149.gif]
[Graphics:../Images/index_gr_150.gif]
[Graphics:../Images/index_gr_151.gif]

[Graphics:../Images/index_gr_152.gif]

Sampled waveform (finite-length)

[Graphics:../Images/index_gr_153.gif]

[Graphics:../Images/index_gr_154.gif]

CTFT of infinite-length sampled signal

[Graphics:../Images/index_gr_155.gif]
[Graphics:../Images/index_gr_156.gif]

[Graphics:../Images/index_gr_157.gif]

[Graphics:../Images/index_gr_158.gif]

[Graphics:../Images/index_gr_159.gif]

DTFT of finite-length sampled signal

[Graphics:../Images/index_gr_160.gif]
[Graphics:../Images/index_gr_161.gif]

[Graphics:../Images/index_gr_162.gif]

Show all

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[Graphics:../Images/index_gr_164.gif]


Converted by Mathematica      March 25, 2003