Find and sketch V(f) for the symmetrical decaying exponential y(t)= Ae-b|t|in Fig. 2.2–1b. (You must use a definite integral from Table T.3.) Compare your result with Ve(f) in Example 2.2–2. Confirm the reciprocal-spreading effect by calculating the frequency range such that V(f)≥ (1/2)|V(0)|.
Figure 2.2–3a shows a causal waveform that decays exponentially with time constant 1/b, so