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<span class="path"><a href="index.html">FOSSEE Signal Processing Toolbox</a> >> <a href="section_cc2bc01c47967d47fcf3507a91d572ba.html">FOSSEE Signal Processing Toolbox</a> > goertzel</span>
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<div class="refnamediv"><h1 class="refname">goertzel</h1>
<p class="refpurpose">Computes DFT using the second order Goertzel Algorithm</p></div>
<div class="refsynopsisdiv"><h3 class="title">Calling Sequence</h3>
<div class="synopsis"><pre><span class="default">Y</span><span class="default"> = </span><span class="functionid">goertzel</span><span class="default">(</span><span class="default">X</span><span class="default">,</span><span class="default">INDVEC</span><span class="default">,</span><span class="default">DIM</span><span class="default">)</span></pre></div></div>
<div class="refsection"><h3 class="title">Parameters</h3>
<dl></dl></div>
<div class="refsection"><h3 class="title">Description</h3>
<p class="para">goertzel(X,INDVEC)
Computes the DFT of X at indices INDVEC using the second order algorithm along
the first non-singleton dimension. Elements of INDVEC must be positive integers
less than the length of the first non-singleton dimension. If INDVEC is empty
the DFT is computed at all indices along the first non-singleton dimension
goertzel(X,INDVEC,DIM)
Implements the algorithm along dimension DIM
In general goertzel is slower than fft when computing the DFT for all indices
along a particular dimension. However it is computationally more efficient when
the DFT at only a subset of indices is desired
Example
x=rand(1,5)
x =</p>
<p class="para">0.6283918 0.8497452 0.6857310 0.8782165 0.0683740
y=goertzel(x,2);
y =</p>
<p class="para">- 0.3531539 - 0.6299881i
Author
Ankur Mallick
References
Goertzel, G. (January 1958), "An Algorithm for the Evaluation of Finite Trigonometric Series", American Mathematical Monthly 65 (1): 34–35, doi:10.2307/2310304</p></div>
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