I know in sin approximations it is good to use range reduction, and
then an identity to expand the value back out, this is because on a
smaller range sin is more linear so easier to approximate. Could this
method have came about by about by range reduction to approximate the
complex exponential?
--
Here is a reply from Ivan to the old thread, that I am including here
in this new thread:
On 24 June 2014 00:25, Ivan Cohen wrote:
> Not sure about what you mean here, but to get these approximations, you use
> the Taylor series of exp(x) and ln(x) for x -> 0 :
>
> exp(x) = sum_(k=0 to N) x^k /
Ok, so what I'm really asking is why did someone (Tustin?) decide to
make this substitution?
exp (sT) = exp (sT/2) / exp (-sT/2)
which can be written:
exp (sT/2 - (-sT/2))
On 23 June 2014 23:58, Andrew Simper wrote:
> Ok, but where does
> On 23 June 2014 22:59, robert bristow-johnson
> wr
