peter/peter-tanner.github.io
1
0
Fork 0
mirror of https://github.com/peter-tanner/peter-tanner.github.io.git synced 2024-11-30 12:00:18 +08:00
Code Issues Packages Projects Releases Wiki Activity
9e0681c4d0
peter-tanner.github.io/_posts/2024-08-01-Useful-Mathematica-functions-for-signal-processing-units.md
Peter e40ad22af0 fix tags on pages
2024-10-29 17:42:47 +08:00

1.1 KiB
Raw Blame History

title author date categories tags
Useful Mathematica functions for signal processing units peter 2024-08-01 01:40:23 +0800
Programming
University
ELEC4402
communications systems
mathematica

I will update this as I add more functions.

Using it for the unit ELEC4402 Communication Systems

(* Signal power *)
SigPower[expr_, t_] :=
 Limit[1/(2 T) Integrate[expr^2, {t, -T, T}], T -> Infinity]

(* Normalized sinc function,default Sinc in Mathematica is not \
normalized *)
SincNorm[Infinity] := Sinc[Pi  Infinity]
SincNorm[t_?NumericQ] := Sinc[Pi  t]

(* Fourier transform,frequency in Hz *)
FTfreq[varargs__] :=
 FourierTransform[varargs,
   FourierParameters -> {0, -2*Pi}] /. {Sinc[f_] :>
    SincNorm[Simplify[f/Pi]]}

(* Inverse Fourier transform,frequency in Hz *)
IFTfreq[varargs__] :=
 InverseFourierTransform[varargs,
   FourierParameters -> {0, -2*Pi}] /. {Sinc[f_] :>
    SincNorm[Simplify[f/Pi]]}