Comparison to oversampled case
Sampling frequency
![[Graphics:../Images/index_gr_142.gif]](../Images/index_gr_142.gif)
Continuous-time signal
![[Graphics:../Images/index_gr_143.gif]](../Images/index_gr_143.gif)
![[Graphics:../Images/index_gr_144.gif]](../Images/index_gr_144.gif)
CTFT of infinite-length x(t)
![[Graphics:../Images/index_gr_145.gif]](../Images/index_gr_145.gif)
![[Graphics:../Images/index_gr_146.gif]](../Images/index_gr_146.gif)
![[Graphics:../Images/index_gr_147.gif]](../Images/index_gr_147.gif)
![[Graphics:../Images/index_gr_148.gif]](../Images/index_gr_148.gif)
CTFT of finite-length x(t)
![[Graphics:../Images/index_gr_149.gif]](../Images/index_gr_149.gif)
![[Graphics:../Images/index_gr_150.gif]](../Images/index_gr_150.gif)
![[Graphics:../Images/index_gr_151.gif]](../Images/index_gr_151.gif)
![[Graphics:../Images/index_gr_152.gif]](../Images/index_gr_152.gif)
Sampled waveform (finite-length)
![[Graphics:../Images/index_gr_153.gif]](../Images/index_gr_153.gif)
![[Graphics:../Images/index_gr_154.gif]](../Images/index_gr_154.gif)
CTFT of infinite-length sampled signal
![[Graphics:../Images/index_gr_155.gif]](../Images/index_gr_155.gif)
![[Graphics:../Images/index_gr_156.gif]](../Images/index_gr_156.gif)
![[Graphics:../Images/index_gr_157.gif]](../Images/index_gr_157.gif)
![[Graphics:../Images/index_gr_158.gif]](../Images/index_gr_158.gif)
![[Graphics:../Images/index_gr_159.gif]](../Images/index_gr_159.gif)
DTFT of finite-length sampled signal
![[Graphics:../Images/index_gr_160.gif]](../Images/index_gr_160.gif)
![[Graphics:../Images/index_gr_161.gif]](../Images/index_gr_161.gif)
![[Graphics:../Images/index_gr_162.gif]](../Images/index_gr_162.gif)
Show all
![[Graphics:../Images/index_gr_163.gif]](../Images/index_gr_163.gif)
![[Graphics:../Images/index_gr_164.gif]](../Images/index_gr_164.gif)
Converted by Mathematica
March 25, 2003