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 Question Proof of scaling property of impulse function ( Physics Help and Math Help - Physics Forums Electrical Engineering )Updated: 2008-09-28 04:05:43 (1)
 Proof of scaling property of impulse function I am presently taking my first course in signals and systems and I have been charged with proving the scaling property of the impulse function; that: delta(a(t-to)) = 1/abs(a)*delta(t-to) I am seriously miffed and need some help.
 Answers: Proof of scaling property of impulse function ( Physics Help and Math Help - Physics Forums Electrical Engineering )
 Proof of scaling property of impulse function Well I messed around with it for a bit and found one way to do it- take the definition of the delta function before the limit- like this: 0 for x < -a delta(a, x) = 1/2a for -a < x < a 0 for x > a and substitude k(t-to) for x...you'll find after messing around with it that a gets pulled in by a factor of 1/k. The area becomes 1/k and but the function is not translated, and hence your property is proved, although how rigorous this would be considered by mathematical standards I don't know. Nolen Ryba
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