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

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

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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
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Author Bob K
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This vector image was created with GNU Octave.
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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

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Date/TimeThumbnailDimensionsUserComment
current04:43, 22 January 2020Thumbnail for version as of 04:43, 22 January 2020700 × 525 (427 KB)Bob K (talk | contribs)new graph title
20:17, 21 January 2020Thumbnail for version as of 20:17, 21 January 2020700 × 525 (425 KB)Bob K (talk | contribs)User created page with UploadWizard

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