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view m-toolbox/classes/+utils/@math/computepsd.m @ 43:bc767aaa99a8
CVS Update
author | Daniele Nicolodi <nicolodi@science.unitn.it> |
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date | Tue, 06 Dec 2011 11:09:25 +0100 |
parents | f0afece42f48 |
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function varargout = computepsd(Sxx,Svxx,w,range,nfft,Fs,esttype) % % Slight modification of original MATLAB's computepsd to include correct % scaling for the variance, i.e var(a*x) = a^2*var(x) % % VERSION: $Id: computepsd.m,v 1.1 2009/07/22 15:29:59 miquel Exp $ % % HISTORY: 21-07-09 M Nofrarias % Creation % %%%%%%%%%%%%%%%%% % % COMPUTEPSD Compute the one-sided or two-sided PSD or Mean-Square. % [Pxx,Pvxx,W,UNITS] = COMPUTEPSD(Sxx,Svxx,W,RANGE,NFFT,Fs,ESTTYPE) where the % inputs and outputs are: % % Inputs: % Sxx - Whole power spectrum [Power]; it can be a vector or a matrix. % For matrices the operation is applied to each column. % W - Frequency vector in rad/sample or in Hz. % RANGE - Determines if a 'onesided' or a 'twosided' Pxx and Sxx are % returned. % NFFT - Number of frequency points. % Fs - Sampling Frequency. % ESTTYPE - A string indicating the estimate type: 'psd', or 'ms' value. % % Outputs: % Pxx - One-sided or two-sided PSD or MEAN-SQUARE (not scaled by Fs) % depending on the input arguments RANGE and TYPE. % W - Frequency vector 0 to 2*Nyquist or 0 to Nyquist depending on % range, units will be either rad/sample (if Fs is empty) or Hz % (otherwise). % UNITS - Either 'rad/sample' or 'Hz' % Author(s): R. Losada % Copyright 1988-2005 The MathWorks, Inc. % $Revision: 1.1 $ $Date: 2009/07/22 15:29:59 $ if nargin < 7 iswinfs = false; if nargin < 6, esttype = 'psd'; end end w = w(:); % Make sure we always returns a column vector for frequency % Generate the one-sided spectrum [Power] if so wanted if strcmp(range,'onesided'), if rem(nfft,2), select = 1:(nfft+1)/2; % ODD Sxx_unscaled = Sxx(select,:); % Take only [0,pi] or [0,pi) Svxx_unscaled = Svxx(select,:); % Take only [0,pi] or [0,pi) Sxx = [Sxx_unscaled(1,:); 2*Sxx_unscaled(2:end,:)]; % Only DC is a unique point and doesn't get doubled Svxx = [Svxx_unscaled(1,:); 4*Svxx_unscaled(2:end,:)]; else select = 1:nfft/2+1; % EVEN Sxx_unscaled = Sxx(select,:); % Take only [0,pi] or [0,pi) Svxx_unscaled = Svxx(select,:); % Take only [0,pi] or [0,pi) Sxx = [Sxx_unscaled(1,:); 2*Sxx_unscaled(2:end-1,:); Sxx_unscaled(end,:)]; % Don't double unique Nyquist point Svxx = [Svxx_unscaled(1,:); 4*Svxx_unscaled(2:end-1,:); Svxx_unscaled(end,:)]; % Don't double unique Nyquist point end w = w(select); end % Compute the PSD [Power/freq] if ~isempty(Fs), Pxx = Sxx./Fs; % Scale by the sampling frequency to obtain the psd Pvxx = Svxx./Fs^2; units = 'Hz'; else Pxx = Sxx./(2.*pi); % Scale the power spectrum by 2*pi to obtain the psd Pvxx = Svxx./(2.*pi)^2; units = 'rad/sample'; end if strcmpi(esttype,'ms'), varargout = {Sxx,Svxx,w,units}; % Mean-square else varargout = {Pxx,Pvxx,w,units}; % PSD end % [EOF] computepsd.m