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Discrete-time Fourier transform (DTFT) of a sampled cosine

A slecture by ECE student Yijun Han

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


outline

  • Introduction
  • Sampling rate above Nyquist rate
  • Sampling rate below Nyquist rate
  • Conclusion
  • References

Introduction

Consider a CT cosine signal (a pure frequency), and sample that signal with a rate above or below Nuquist rate. In this slecture, I will talk about how does the discrete-time Fourier transform of the sampling of this signal look like.

Sampling rate above Nyquist rate

Sampling rate below Nyquist rate

Conclusion

References

[1].Mireille Boutin, "ECE438 Digital Signal Processing with Applications," Purdue University August 26,2009



Questions and comments

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Back to ECE438, Fall 2014

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