Signals and Systems: A Fresh Look
Stony Brook University
Copyright c 2009 by Chi-Tsong Chen
Everyone is permitted to copy and distribute this book but changing it is not permitted.
Email: [email protected] or [email protected]
July 14, 2009
Signals and Systems
The term signal is generally applied to something that conveys information. Signals
may, for example, convey information about the state or behavior of a p
1. Create and plot a signal vector x[n] of 200 samples of data from the
following signal sampled at a sampling rate of 1000 samples per second.
X(t) = sin(50 t) + 2sin(100 t) + noise(t)
D. K. Ferry, J. P. Bird,
D. Vasileska and G. Klimeck
Matter comes in many different formsthe three we are most
used to are solid, liquid, and gas.
Matter in its Many Forms
Matter in its
d k=0 dx d [f (x) g (x)] = f (x) g (x) dx d [k f (x)] = k f (x) dx d [f (x)g (x)] = f (x)g (x) + g (x)f (x) dx g (x)f (x) f (x)g (x) d f (x) = 2 dx g (x) [g (x)] d f (g (x) = f (g (x) g (x) dx dn x = nxn1 dx d s
Form of Particular Solution
(Adapted from Table 3.1 of Kohler and Johnson) The right-hand column gives the proper form to assume for a particular solution of ay + by + cy = g (t). In the right-hand column, choose r to be the smallest nonegative integer su