Tables of Common Transform Pairs
2012 by Marc Ph.
Stoecklin — marc a stoecklin.
net — http://www.
stoecklin.
net/ — 2012-12-20 — version v1.
5.
3
Engineers and students in communications and mathematics are confronted with transformations such
as the...
More

Tables of Common Transform Pairs
2012 by Marc Ph.
Stoecklin — marc a stoecklin.
net — http://www.
stoecklin.
net/ — 2012-12-20 — version v1.
5.
3
Engineers and students in communications and mathematics are confronted with transformations such
as the z-Transform, the Fourier transform, or the Laplace transform.
Often it is quite hard to quickly
ﬁnd the appropriate transform in a book or the Internet, much less to have a comprehensive overview
of transformation pairs and corresponding properties.
In this document I compiled a handy collection of the most common transform pairs and properties
of the
continuous-time frequency Fourier transform (2πf),
continuous-time pulsation Fourier transform (ω),
z-Transform,
discrete-time Fourier transform DTFT, and
Laplace transform.
Please note that, before including a transformation pair in the table, I veriﬁed its correctness.
Nevertheless, it is still possible that you may ﬁnd errors or typos.
I am very grateful to everyone dropping
me a lin
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