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How to do Fourier Integrals on the HP Prime?
12-09-2019, 08:22 PM
Post: #11
RE: How to do Fourier Integrals on the HP Prime?
(12-09-2019 12:23 PM)Stevetuc Wrote:  https://www.hpcalc.org/details/9041

Quote:Performs symbolic time to frequency and frequency to time calculations: calculates for a given symbolic f(t) Fourier, Laplace and Z-transformation in symbolic form, draws the complex Laplace function together with the Fourier transformation slice as a 3D plot, and calculates for a given frequency transfer function the unity pulse, dirac pulse response and bode magnitude and phase in symbolic form. Includes PDF documentation.
[Image: spect001.png]

It uses the following to calculate the Fourier transform

Code:

//   // Function.F2 Fourier( f(t) ) = ABS( laplace( f(t) ) with (i*X) as independant )
//   ABS(simplify(laplace(F1(x),x)))
//   subst('  ',('x') = ('i*X'))
//


This is just evaluating the Laplace Transform at s=jw. The Laplace Transform used on the Prime is the single-sided LT, meaning it evaluates the integral from 0 to inf. You can use this LT to get the FT if you have a function that is right-sided. What happens if you want the FT of functions such as sin(wt), a dc signal, that span the the entire time domain ? Well, it's not possible.
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RE: How to do Fourier Integrals on the HP Prime? - medwatt - 12-09-2019 08:22 PM



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