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 03:50:18 +08:00
Code Issues Packages Projects Releases Wiki Activity

New posts: _posts/2024-08-01-Useful-Mathematica-functions-for-signal-processing-units.md

Browse Source
This commit is contained in:
Peter 2024-08-01 01:42:56 +08:00
parent 7db55ac1d4
commit 255a4e8257
1 changed files with 34 additions and 0 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

34
_posts/2024-08-01-Useful-Mathematica-functions-for-signal-processing-units.md Normal file
View File

@ -0,0 +1,34 @@
---
title: Useful Mathematica functions for signal processing units
author: peter
date: 2024-08-01 01:40:23 +0800
categories: [Uni] # Blogging | Electronics | Programming | Mechanical | SelfHosting
tags: [ELEC4402] # systems | embedded | rf | microwave | electronics | solidworks | automation | tip
# image: assets/img/2024-08-01-Useful-Mathematica-f/preview.png
---
I will update this as I add more functions.
Using it for the unit ELEC4402 Communication Systems
```mathematica
(* Signal power *)
SigPower[expr_, t_] :=
Limit[1/(2 T) Integrate[expr, {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]]}
```