(a) Show that the function δ ε (t) sketched in Figure 2.4(b) has unity area. Figure 2.4...
Question:
Figure 2.4 (b)
(b) Show that
δε(t) = e-1e-t/εu(t)
has unity area. Sketch this function for E = 1,1/2, and 1/4. Comment on its suitability as an approximation for the unit impulse function.
(c) Show that a suitable approximation for the unit impulse function as ε 0 is given by otherwise.
Transcribed Image Text:
ε+0 ε 1 -2 -1 (b) ω (1 – |t| /e), |t|
ε+0 ε 1 -2 -1 (b) ω (1 – |t| /e), |t|
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Related Book For
Principles of Communications Systems, Modulation and Noise
ISBN: 978-8126556793
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
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