1 / 15

Understanding Convolution in 1D and 2D Signal Processing with Delta Functions

This educational resource delves into the concepts of 1D and 2D convolution in signal processing. It explores the delta function and its significance in time-shifting and sampling input signals, framing convolution as a sampling operation. The impact of sampling on the spectrum is examined, alongside an explanation of Fourier coefficients, the Continuous-Time Fourier Transform (CTFT), and Euler's identity. The resource emphasizes the relationship between time and frequency domain multiplication and outlines the principles of harmonic analysis through convolution.

napoleon-brogan
Télécharger la présentation

Understanding Convolution in 1D and 2D Signal Processing with Delta Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Convolution 1D and 2D signal processing

  2. Consider the delta function

  3. Time-shift delta

  4. Sample the input (it’s a convolution!)

  5. What does sampling do to spectrum?

  6. What is the spectrum?

  7. Fourier Coefficients

  8. CTFT

  9. Euler’s identity

  10. Sine-cos Rep

  11. Harmonic Analysis

  12. Convolution=time-shift&multi

  13. Convolution Thm multiplication in the time domain = convolution in the frequency domain

  14. Sample

  15. Spectrum reproduced spectrum to be reproduced at intervals

More Related