1 / 8

Numerical Convolution

Numerical Convolution. EE 327. Numerical Convolution. Numerical evaluation of the convolution integral For difficult-to-solve convolution problems We will focus on the Matlab conv function. Discretizing the Time. Convolution Integral. Discretize the Time. n  sample value.

keon
Download Presentation

Numerical Convolution

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. Numerical Convolution EE 327

  2. Numerical Convolution • Numerical evaluation of the convolution integral • For difficult-to-solve convolution problems • We will focus on the Matlab conv function

  3. Discretizing the Time Convolution Integral Discretize the Time n sample value T  sampling period

  4. Break the Integral into Pieces(T-second intervals)

  5. Let T be sufficiently small that is relatively constant over T Then

  6. In discrete-time notation

  7. Numerical Convolution in Matlab • Use conv function • yy = conv(T*hh,xx); • yy = conv(hh,T*xx);

  8. Keys to Numerical Convolution • Convert to discrete time • The smaller the sampling period, T, the more exact the solution • Tradeoff  computation time vs. exactness of solution • Remember to account for T in the convolution  ex. T*hh

More Related