The InverseComplexCepstrum(A) command computes the inverse complex cepstrum of the real data A.

nd is the number of samples of delay and the second output of ComplexCepstrum.

A must be a one-dimensional Array and must contain real numbers only.

$\mathrm{with}\left(\mathrm{SignalProcessing}\right)\:$

$\mathrm{f1}≔12.0\:$

$\mathrm{f2}≔20.0\:$

$\mathrm{Fs}≔1000\:$

$\mathrm{signal}≔\mathrm{Vector}\left(2^{10}\,i\mapsto \sin \left(\frac{2\cdot \mathrm{f1}\cdot \mathrm{\pi }\cdot i}{\mathrm{Fs}}\right)+1.5\cdot \sin \left(\frac{2\cdot \mathrm{f2}\cdot \mathrm{\pi }\cdot i}{\mathrm{Fs}}\right)\,'\mathrm{datatype}'='\mathrm{float}\left[8\right]'\right)\:$

$t≔\mathrm{Vector}\left(2^{10}\,i\mapsto \frac{1.0\cdot i}{\mathrm{Fs}}\,'\mathrm{datatype}'='\mathrm{float}\left[8\right]'\right)\:$

$\mathrm{plot}\left(t\,\mathrm{signal}\right)$

$c,\mathrm{nd}≔\mathrm{ComplexCepstrum}\left(\mathrm{signal}\right)$

$\mathrm{ic}≔\mathrm{InverseComplexCepstrum}\left(c\,\mathrm{nd}\right)$

$\mathrm{plot}\left(t\,\mathrm{ic}\right)$

The SignalProcessing[InverseComplexCepstrum] command was introduced in Maple 2019.

For more information on Maple 2019 changes, see Updates in Maple 2019.