https://fweb.wallawalla.edu/class-wiki/index.php?action=history&feed=atom&title=Aliasing 2026-04-05T18:28:10Z Revision history for this page on the wiki MediaWiki 1.43.0 https://fweb.wallawalla.edu/class-wiki/index.php?title=Aliasing&diff=3820&oldid=prev 2004-12-10T23:58:33Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:58, 10 December 2004</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax.  In the example shown below a wave has a sample period of T and thus a sampling frequency of 1/T.  fmax in this case is greater than 1/2T so there is some overlap in the bandwidth.  This overlap of X(f) will add constructively in the sampled signal.  Now when we wish to convert this sampled signal back to the the original we can not because we have no idea what it orginally looked like.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax.  In the example shown below a wave has a sample period of T and thus a sampling frequency of 1/T.  fmax in this case is greater than 1/2T so there is some overlap in the bandwidth.  This overlap of X(f) will add constructively in the sampled signal.  Now when we wish to convert this sampled signal back to the the original we can not because we have no idea what it orginally looked like<ins style="font-weight: bold; text-decoration: none;">, or what frequency components it had</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Image:alias.gif]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Image:alias.gif]]</div></td></tr> </table>

Andeda https://fweb.wallawalla.edu/class-wiki/index.php?title=Aliasing&diff=269&oldid=prev 2004-12-10T23:56:46Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:56, 10 December 2004</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax.  In the example shown below a wave has a sample period of T and thus a sampling frequency of 1/T.  fmax in this case is greater than 1/2T so there is some overlap in the bandwidth.  This overlap of X(f) will add constructively in the sampled.  Now when we wish to convert this sampled signal back to the the original we can not because we have no idea what it orginally looked like.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax.  In the example shown below a wave has a sample period of T and thus a sampling frequency of 1/T.  fmax in this case is greater than 1/2T so there is some overlap in the bandwidth.  This overlap of X(f) will add constructively in the sampled <ins style="font-weight: bold; text-decoration: none;">signal</ins>.  Now when we wish to convert this sampled signal back to the the original we can not because we have no idea what it orginally looked like.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Image:alias.gif]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Image:alias.gif]]</div></td></tr> </table>

Andeda https://fweb.wallawalla.edu/class-wiki/index.php?title=Aliasing&diff=268&oldid=prev 2004-12-10T23:55:43Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:55, 10 December 2004</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax<ins style="font-weight: bold; text-decoration: none;">.  In the example shown below a wave has a sample period of T and thus a sampling frequency of 1/T.  fmax in this case is greater than 1/2T so there is some overlap in the bandwidth.  This overlap of X(f) will add constructively in the sampled.  Now when we wish to convert this sampled signal back to the the original we can not because we have no idea what it orginally looked like</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Image:alias.gif]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Image:alias.gif]]</div></td></tr> </table>

Andeda https://fweb.wallawalla.edu/class-wiki/index.php?title=Aliasing&diff=267&oldid=prev 2004-12-10T23:46:08Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:46, 10 December 2004</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you sample the highest frequency component of a signal less than two times and then are not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists sampling theorem that says the signal must be sampled at a frequency of 1/T &gt; 2*fmax.</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Image:alias.gif]]</ins></div></td></tr> </table>

Andeda https://fweb.wallawalla.edu/class-wiki/index.php?title=Aliasing&diff=261&oldid=prev 2004-12-10T23:22:05Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:22, 10 December 2004</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you are sampling <del style="font-weight: bold; text-decoration: none;">to slow in </del>the <del style="font-weight: bold; text-decoration: none;">time domain</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Alaising is what occurs when you <ins style="font-weight: bold; text-decoration: none;">sample the highest frequency component of a signal less than two times and then </ins>are <ins style="font-weight: bold; text-decoration: none;">not able to reconstruct the original signal from the sampled data.  This is generalized by Nyquists </ins>sampling <ins style="font-weight: bold; text-decoration: none;">theorem that says </ins>the <ins style="font-weight: bold; text-decoration: none;">signal must be sampled at a frequency of 1/T &gt; 2*fmax</ins>.</div></td></tr> </table>

Andeda https://fweb.wallawalla.edu/class-wiki/index.php?title=Aliasing&diff=247&oldid=prev 2004-12-10T22:56:38Z

<p></p> <p><b>New page</b></p><div>Alaising is what occurs when you are sampling to slow in the time domain.</div>

Andeda