Sampling from a frequency-domain perspective: continuous frequency spectrum

Oversampled [Graphics:../Images/index_gr_70.gif]

Sampling frequency
[Graphics:../Images/index_gr_71.gif]
Frequency domain representation of signal
[Graphics:../Images/index_gr_72.gif]
[Graphics:../Images/index_gr_73.gif]

[Graphics:../Images/index_gr_74.gif]

Time-domain representation of signal
[Graphics:../Images/index_gr_75.gif]
[Graphics:../Images/index_gr_76.gif]
[Graphics:../Images/index_gr_77.gif]
[Graphics:../Images/index_gr_78.gif]

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

Frequency spectrum of sampled signal
[Graphics:../Images/index_gr_80.gif]
[Graphics:../Images/index_gr_81.gif]

[Graphics:../Images/index_gr_82.gif]

[Graphics:../Images/index_gr_83.gif]

[Graphics:../Images/index_gr_84.gif]

Ideal filter
[Graphics:../Images/index_gr_85.gif]
[Graphics:../Images/index_gr_86.gif]

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

Sampled, filtered spectrum
[Graphics:../Images/index_gr_88.gif]
[Graphics:../Images/index_gr_89.gif]

[Graphics:../Images/index_gr_90.gif]

Ideally reconstructed signal
[Graphics:../Images/index_gr_91.gif]
[Graphics:../Images/index_gr_92.gif]

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

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

[Graphics:../Images/index_gr_95.gif]

[Graphics:../Images/index_gr_96.gif]

[Graphics:../Images/index_gr_97.gif]

Undersampled [Graphics:../Images/index_gr_98.gif]

Sampling frequency
[Graphics:../Images/index_gr_99.gif]
Frequency domain representation of signal
[Graphics:../Images/index_gr_100.gif]
[Graphics:../Images/index_gr_101.gif]

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

Time-domain representation of signal
[Graphics:../Images/index_gr_103.gif]
[Graphics:../Images/index_gr_104.gif]
[Graphics:../Images/index_gr_105.gif]
[Graphics:../Images/index_gr_106.gif]

[Graphics:../Images/index_gr_107.gif]

Frequency spectrum of sampled signal
[Graphics:../Images/index_gr_108.gif]
[Graphics:../Images/index_gr_109.gif]

[Graphics:../Images/index_gr_110.gif]

[Graphics:../Images/index_gr_111.gif]

[Graphics:../Images/index_gr_112.gif]

Ideal filter
[Graphics:../Images/index_gr_113.gif]
[Graphics:../Images/index_gr_114.gif]

[Graphics:../Images/index_gr_115.gif]

Sampled, filtered spectrum
[Graphics:../Images/index_gr_116.gif]
[Graphics:../Images/index_gr_117.gif]

[Graphics:../Images/index_gr_118.gif]

Ideally reconstructed signal
[Graphics:../Images/index_gr_119.gif]
[Graphics:../Images/index_gr_120.gif]

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

[Graphics:../Images/index_gr_122.gif]

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

[Graphics:../Images/index_gr_124.gif]

[Graphics:../Images/index_gr_125.gif]


Converted by Mathematica      February 3, 2003