diff options
Diffstat (limited to 'macros/dctmtx.sci')
-rw-r--r-- | macros/dctmtx.sci | 73 |
1 files changed, 49 insertions, 24 deletions
diff --git a/macros/dctmtx.sci b/macros/dctmtx.sci index e0c2354..e399d47 100644 --- a/macros/dctmtx.sci +++ b/macros/dctmtx.sci @@ -1,25 +1,50 @@ -function [y]= dctmtx(n) - -// Performs Direct Cosine Transformation -// Calling Sequence -// [y]=dctmtx(n) -// Parameters -// n: Real scalar integer greater than or equal to 1 -// Description -// This is an Octave function -// dctmtx(n) returns a Discrete cosine transform matrix of order n-by-n. It is useful for jpeg image compression. D*A is the DCT of the columns of A and D'*A is the inverse DCT of the columns of A (when A is n-by-n). -// Examples -// 1. dctmtx(2) -// ans = [0.70711 0.70711; 0.70711 -0.70711] -// 2. dctmtx(3) -// ans = [5.7735e-01 5.7735e-01 5.7735e-01; -// 7.0711e-01 4.9996e-17 -7.0711e-01; -// 4.0825e-01 -8.1650e-01 4.0825e-01] - -funcprot(0); -rhs=argn(2); -if (rhs<1) then - error ("Wrong number of input arguments.") -else [y]=callOctave("dctmtx",n) -end +// Copyright (C) 2018 - IIT Bombay - FOSSEE +// +// This file must be used under the terms of the CeCILL. +// This source file is licensed as described in the file COPYING, which +// you should have received as part of this distribution. The terms +// are also available at +// http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt +// Original Source : https://octave.sourceforge.io/signal/ +// Modifieded by:Sonu Sharma, RGIT Mumbai +// Organization: FOSSEE, IIT Bombay +// Email: toolbox@scilab.in + +function T = dctmtx(n) + // Return the DCT transformation matrix of size N-by-N. + + //Calling Sequence + //T = dctmtx(n) + + //Parameters + //n: Real scalar integer greater than or equal to 1 + + //Description + //dctmtx(n) returns a Discrete cosine transform matrix (D) of order n-by-n. It is useful for jpeg image compression. D*A is the DCT of the columns of A and D'*A is the inverse DCT of the columns of A (when A is n-by-n). + + // Examples + //n= 3; + //T = dctmtx(n) + //Output: + // T = + // + // 0.5773503 0.5773503 0.5773503 + // 0.7071068 5.000D-17 - 0.7071068 + // 0.4082483 - 0.8164966 0.4082483 + + + funcprot(); + [nargout nargin] = argn(); + if nargin ~= 1 + error("dctmtx: invalid number of inputs") + end + + if n > 1 + T = [ sqrt(1/n)*ones(1,n) ; ... + sqrt(2/n)*cos((%pi/2/n)*([1:n-1]'*[1:2:2*n])) ]; + elseif n == 1 + T = 1; + else + error ("dctmtx: n must be at least 1"); + end endfunction |