Difference between revisions of "Text slecture" - Rhea

Revision as of 19:35, 9 October 2014

Downsampling

A slecture by ECE student Yerkebulan Yeshmukhanbetov

Partly based on the ECE438 Fall 2014 lecture material of Prof. Mireille Boutin.

Outline

Introduction
Derivation
Example
Conclusion
References

Introduction

    In digital signal processing, the decimator performs decimation, which is downsampling a signal. In other words, when a digital signal is downsampled, the signal's sampling rate would be reduced.

@@ Line 92: / Line 92: @@
       In digital signal processing, the decimator performs decimation, which is downsampling a signal. In other words, when a digital signal is downsampled, the signal's sampling rate would be reduced.
-where <br>
-<math>s_D [m]=\left\{ \begin{array}{ll}
-,& \text{ if } n \text{ is a multiple of } 4,\\
-, & \text{ else}.
-\end{array}\right. = {\frac{1}{D}} \sum_{k = -\infty}^{D-1} e^{jk {\frac{2 \pi}{D} m}}</math>
 == Derivation  ==
@@ Line 177: / Line 172: @@
 <font size="3"></font>
-<font size="3">To summarize, the Nyquist theorem states that any bandlimited signal can be perfectly reconstructed from its sampling if sampled at a rate greater than twice its bandwidth <span class="texhtml">(''f''<sub>''s''</sub> &gt; 2''f''<sub>''M''</sub>)</span>. However, the Nyquist condition is not necessary for perfect reconstruction as shown in the example above. </font>
 <font size="3"></font>

Difference between revisions of "Text slecture" - Rhea

Revision as of 19:35, 9 October 2014

Contents

Outline

Introduction

Derivation

Example

Example

Conclusion

References

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