資源簡介
s變換應用十分廣泛,可以直接利用的s變換函數,能準確理解s變換。
代碼片段和文件信息
function?[sttf]?=?st(timeseriesminfreqmaxfreqsamplingratefreqsamplingrate)?
%?Returns?the?Stockwell?Transform?of?the?timeseries.?
%?Code?by?Robert?Glenn?Stockwell.?
%?DO?NOT?DISTRIBUTE?
%?BETA?TEST?ONLY?
%?Reference?is?“Localization?of?the?Complex?Spectrum:?The?S?Transform“?
%?from?IEEE?Transactions?on?Signal?Processing?vol.?44.?number?4?April?1996?pages?998-1001.?
%?
%-------Inputs?Needed------------------------------------------------?
%???
%???*****All?frequencies?in?(cycles/(time?unit))!******?
% “timeseries“?-?vector?of?data?to?be?transformed?
%-------Optional?Inputs?------------------------------------------------?
%?
%“minfreq“?is?the?minimum?frequency?in?the?ST?result(Default=0)?
%“maxfreq“?is?the?maximum?frequency?in?the?ST?result?(Default=Nyquist)?
%“samplingrate“?is?the?time?interval?between?samples?(Default=1)?
%“freqsamplingrate“?is?the?frequency-sampling?interval?you?desire?in?the?ST?result?(Default=1)?
%Passing?a?negative?number?will?give?the?default?ex.??[stf]?=?st(data-1-122)?
%-------Outputs?Returned------------------------------------------------?
%?
%?st?????-a?complex?matrix?containing?the?Stockwell?transform.??
% ?The?rows?of?STOutput?are?the?frequencies?and?the??
%?????????columns?are?the?time?values?ie?each?column?is??
%?????????the?“local?spectrum“?for?that?point?in?time?
%??t??????-?a?vector?containing?the?sampled?times?
%??f??????-?a?vector?containing?the?sampled?frequencies?
%--------Additional?details-----------------------?
%???%??There?are?several?parameters?immediately?below?that?
%??the?user?may?change.?They?are:?
%[verbose]????if?true?prints?out?informational?messages?throughout?the?function.?
%[removeedge]?if?true?removes?a?least?squares?fit?parabola?
%????????????????and?puts?a?5%?hanning?taper?on?the?edges?of?the?time?series.?
%????????????????This?is?usually?a?good?idea.?
%[analytic_signal]??if?the?timeseries?is?real-valued?
%??????????????????????this?takes?the?analytic?signal?and?STs?it.?
%??????????????????????This?is?almost?always?a?good?idea.?
%[factor]?????the?width?factor?of?the?localizing?gaussian?
%????????????????ie?a?sinusoid?of?period?10?seconds?has?a??
%????????????????gaussian?window?of?width?factor*10?seconds.?
%????????????????I?usually?use?factor=1?but?sometimes?factor?=?3?
%????????????????to?get?better?frequency?resolution.?
%???Copyright?(c)?by?Bob?Stockwell?
%???$Revision:?1.2?$??$Date:?1997/07/08??$?
?
?
%?This?is?the?S?transform?wrapper?that?holds?default?values?for?the?function.?
TRUE?=?1;?
FALSE?=?0;?
%%%?DEFAULT?PARAMETERS??[change?these?for?your?particular?application]?
verbose?=?TRUE;???????????
removeedge=?FALSE;?
analytic_signal?=??FALSE;?
factor?=?1;?
%%%?END?of?DEFAULT?PARAMETERS?
?
?
%%%START?OF?INPUT?VARIABLE?CHECK?
%?First:??make?sure?it?is?a?valid?time_series??
%?????????If?not?return?the?help?message?
?
if?verbose?disp(‘?‘)end??%?i?like?a?line?left?blank?
?
if?nargin?==?0??
???if?verbose
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