Feedback by Tom Moir

Author:Tom Moir
Language: eng
Format: epub, pdf
ISBN: 9783030348397
Publisher: Springer International Publishing

(9.5)

In the case of the Laplace-Transform, we used this to prove that we can multiply the transfer-functions of LTI systems and is the foundation for most of our control-theory analysis. We can also write this as

(9.6)

The second property which we use is:

The Fourier-Transform of the product of two time-domain signals is the same as the convolution of their individual Fourier-Transforms.

In other words

(9.7)

where * represents convolution. We can also write (9.7) as

(9.8)

Now we can have a peek and see what effect multiplying a signal by a train of impulses has to a signal. We must take the FT of (9.2) and use the FT property of convolution in the frequency-domain.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.