Group: alt.engineering.electrical
From: "Anonymous."
Date: Thursday, August 23, 2007 2:55 AM
Subject: Re: Difficulties in understanding e^(-jwt)


"Don Kelly" wrote in message
news: $ @pd7urf1no...
> "Anonymous." wrote in message
> news:fahqgi$sp3$1@ ...
>> In message which was
>> published in these
>> newsgroups on 13 Dec 2003, the following is asserted.....
>> "The term e^(-jwt) isn't some magical time machine relating to
>> "minus
>> time", e^(-jwt) is simply another way of writing 1/(e^jwt)
>> which
>> is a value that decreases as t increasing. "
>> Surely this is quite wrong?
>> Surely e^(-jwt) is a cyclic phenomenon, the value, or modulus, of
>> which remains absolutely constant and of the value unity?
>>
> --
> It is wrong in the interpretation which appears to be based on real
> numbers. Look up Euler's equation and the whole concept of complex numbers
> e^jwt =cos(wt-jsin(wt)
> e^-jwt =cos(wt)-jsin(wt) which happens to be 1/e^jwt

Indeed. However it was the blatant misunderstanding, "a value that
decreases as t increasing" that I was discussing.