InverseSpectrogram [data]
reconstructs the signal from the magnitude spectrogram data.
InverseSpectrogram [img]
reconstructs the signal, assuming that the image img is the magnitude spectrogram.
InverseSpectrogram [input,n]
assumes the spectrogram data was computed with partitions of length n.
InverseSpectrogram [input,n,d]
assumes partitions with offset d.
InverseSpectrogram [input,n,d,wfun]
assumes a smoothing window wfun was applied to each partition.
InverseSpectrogram
InverseSpectrogram [data]
reconstructs the signal from the magnitude spectrogram data.
InverseSpectrogram [img]
reconstructs the signal, assuming that the image img is the magnitude spectrogram.
InverseSpectrogram [input,n]
assumes the spectrogram data was computed with partitions of length n.
InverseSpectrogram [input,n,d]
assumes partitions with offset d.
InverseSpectrogram [input,n,d,wfun]
assumes a smoothing window wfun was applied to each partition.
Details and Options
- InverseSpectrogram approximates an inverse of the magnitude spectrogram.
- To compute the short-time Fourier transform of lists and audio signals, use ShortTimeFourier .
- InverseSpectrogram assumes that real matrix input is a magnitude spectrogram without the redundant part. This means that the window size used was 2(size-1), where size is the second dimension of the input matrix.
- The inverse spectrogram can be computed from the spectrogram if the offset d is smaller than half the size of the partition length n.
- The following options can be given:
-
- Possible method settings include:
-
Automatic uses automatic method"GriffinLim" iteratively approximates the phase"SPSI" uses single-pass spectrogram inversion"Hybrid" uses the SPSI as the inital phase for Griffin–Lim
- The "Hybrid" method is used by default.
Examples
open all close allBasic Examples (3)
Scope (3)
The partition size must match the value inferred from the input data:
The inferred partition size is 2×(size-1), where size is the second dimension of the input matrix:
By default, the partition offset is of the inferred partition size:
Specify a different partition offset:
Specify a smoothing window:
Options (2)
MaxIterations (1)
Use the MaxIterations option to control the quality of the result and the speed of the operation:
Method (1)
The "Griffin-Lim" method uses an iterative algorithm to approximate the original signal:
The "SPSI" method approximates the signal in a non-iterative way, which is relatively fast:
The "Hybrid" method uses the result of the "SPSI" method as the starting guess for iterative method "Griffin-Lim", which may converge faster:
Applications (2)
Properties & Relations (1)
Compute the spectrogram of a signal and its approximate inverse:
Compute the short-time Fourier transform:
Discard the redundant part and take the absolute value to get the magnitude spectrogram:
Use InverseSpectrogram to compute the approximated inverse of the spectrogram:
Possible Issues (1)
The partition size must match the value inferred for the input data:
The inferred partition size is 2×(size-1), where size is the second dimension of the input matrix:
Signal reconstruction cannot be done with other partition sizes:
Related Guides
History
Text
Wolfram Research (2019), InverseSpectrogram, Wolfram Language function, https://reference.wolfram.com/language/ref/InverseSpectrogram.html.
CMS
Wolfram Language. 2019. "InverseSpectrogram." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InverseSpectrogram.html.
APA
Wolfram Language. (2019). InverseSpectrogram. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InverseSpectrogram.html
BibTeX
@misc{reference.wolfram_2025_inversespectrogram, author="Wolfram Research", title="{InverseSpectrogram}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/InverseSpectrogram.html}", note=[Accessed: 17-November-2025]}
BibLaTeX
@online{reference.wolfram_2025_inversespectrogram, organization={Wolfram Research}, title={InverseSpectrogram}, year={2019}, url={https://reference.wolfram.com/language/ref/InverseSpectrogram.html}, note=[Accessed: 17-November-2025]}