December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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3.4 FOURIER TRANSFORMATION THEOREM
3.4.1 Linearity
If f1(t)
F1(ω) and f2(t) F2(ω), it can be written that
F[a1f1(t) + a2f2(t)] a1F1(ω) + a2F2(ω).
a1F1(ω) + a2F2(ω).
Proof:
3.4.2 Time Scaling
If a function f(t) is expanded in time domain, its Fourier transform compressed in frequency domain along ‘ω’ axis and the magnitude of |F(ω)| increases. Conversely, if a function ...
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