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Proof of the scaling property of an impulse function 
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#1
Aug3004, 11:27 AM

P: 2

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(tto)) = 1/abs(a)*delta(tto) I am seriously miffed and need some help. 


#2
Sep204, 08:19 PM

P: 32

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(tto) 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. 


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