R help - Feb 2011 - calculate phase/amplitude of fourier transform function in R

I did a fourier transform on a function in time domain to get the following
functions in frequency domain (in latex):

$Y_1[\omega] = \frac{1}{1-\phi_1 e^{-jw}}$

$Y_2[\omega] = \frac{1}{1-(\phi_1 + \phi_2)e^{-jw} +\phi_1\phi_2e^{-2jw}}$

How do I find the spectrum of this function for given $\phi_1$ and $\phi_2$
coefficients and in the discretization interval $w = [-\pi:.1*\pi: \pi]$?
Then, how do I find the 'magnitude' of spectrum and 'phase' of
spectrum in
R?

Is there an existing package/function in R? An example would be very
helpful.

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sammyny wrote:
>
> I did a fourier transform on a function in time domain to get the following
> functions in frequency domain (in latex):
>
> $Y_1[\omega] = \frac{1}{1-\phi_1 e^{-jw}}$
>
> $Y_2[\omega] = \frac{1}{1-(\phi_1 + \phi_2)e^{-jw} +\phi_1\phi_2e^{-2jw}}$
>
> How do I find the spectrum of this function for given $\phi_1$ and $\phi_2$
> coefficients and in the discretization interval $w = [-\pi:.1*\pi: \pi]$?
> Then, how do I find the 'magnitude' of spectrum and 'phase'
of spectrum in
> R?
>
> Is there an existing package/function in R? An example would be very
> helpful.
Take a look at fft - help(fft) - to know how to get the fourier 
transform and complex - help(complex) - to know how to get the magnitude 
and phase of complex values. Usually you'll find examples on help pages.
>