File:FFT size vs filter length for Overlap-add convolution.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file(SVG file, nominally 700 × 525 pixels, file size: 427 KB)

Summary

Description
English: A graph of the values of N (an integer power of 2) that minimize the cost function from articles Overlap-add method and Overlap-save method
Date
Source Own work
Author Bob K
Permission
(Reusing this file)
I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

SVG development
InfoField
 
The SVG code is valid.
 
This vector image was created with GNU Octave.
Gnu Octave source
InfoField
click to expand

This graphic was created by the following Octave script:

graphics_toolkit gnuplot

Nvals = [];
x = 17:1000;
for M = x
  m = floor(log2(4*M));
  k = m:(m+4);
  N = 2.^k;
  c = N.*(k+1)./(N-M+1);
  [minval,idx] = min(c);
  kmin = idx-1+m;
  Nvals(end+1) = 2^kmin;
end

semilogy(x, Nvals, ".", "markersize", 3);
set(gca, "ytick",[128 256 512 1024 2048 4096 8192])
set(gca, "yticklabel",[128 256 512 1024 2048 4096 8192])
set(gca, "xtick",[0 100 200 300 400 500 600 700 800 900 1000])
grid on

ylabel("Optimum FFT size (N)", "fontsize",10)
xlabel('\leftarrow Filter length (M) \rightarrow', "fontsize",10)
title({"FFT size vs filter length for";"Overlap-add and Overlap-save convolution"}, "fontsize",12);

 print -dsvg FFT_size_vs_filter_length_for_Overlap-add_convolution.svg

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

21 January 2020

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current04:43, 22 January 2020Thumbnail for version as of 04:43, 22 January 2020700 × 525 (427 KB)Bob Knew graph title
20:17, 21 January 2020Thumbnail for version as of 20:17, 21 January 2020700 × 525 (425 KB)Bob KUser created page with UploadWizard
The following pages on the English Wikipedia use this file (pages on other projects are not listed):

Metadata