that's exactly what mark is going to learn.
Original from:
http://blog.sina.com.cn/s/blog_6163bdeb0102dwfw.html
spectrogram function for short-time Fourier analysis(2011-11-17 15:52:23) reprinted
Tags: short-time Fourier transform window function discrete fourier transform sampling frequency wavelet analysis
Category: Subject knowledge
Previously thought that the time-frequency analysis of the function is in the tool-freq
Introduction to 1.spectrogram parametersFunction: The spectrum diagram of the signal is obtained by using the short-time Fourier transform.
Grammar:
[S,f,t,p]=spectrogram (X,WINDOW,NOVERLAP,NFFT,FS)
[S,f,t,p]=spectrogram (X,WINDOW,NOVERLAP,F,FS)
Note: When using no output parameters, the spectrum map will be automatically plotted, and the output parameters will r
Previously thought that the time-frequency analysis of the function is in the tool-frequency analysis toolbox, and MATLAB has not brought this toolbox, use need to download, about how to use, before written a blog see http://blog.sina.com.cn/s/blog_6163bdeb0102dvwr.html
Today dolls found the original MATLAB with a short-time Fourier transform analysis function, the old version of MATLAB is the Specgram function, the new change into the Spectrogram fun
path.First, the Spectrum diagram (spectrogram)We're dealing with voice signals, so it's important to describe them. It shows different information because of different descriptions. What kind of descriptive way is good for us to observe, and for us to understand? Here, let's get to know something about a call spectrum.Here, the speech is divided into a number of frames, each frame of speech corresponds to a spectrum (by the short-term FFT calculation
transform constitutes a frame. These successive frames are then arranged into a matrix, which forms the sound spectrum. Finally, the frequency axis is changed from a linear scale to a Mel scale to reduce the number of dimensions and take a logarithmic scale value.The convolution layer is displayed in a red rectangle, showing the situation when the filter slips over the input. They use linear correction units (Relus, the activation function used is max (0, X)). Note that all of these convolution
(audiocontext.destination);Assigns the buffer data decoded from the previous step to the sourceAudiobuffersoucenode.buffer = buffer;PlayAudiobuffersoucenode.start (0);After the music is sounded, pass the analyser to another method to start plotting the spectrogram, because the information needed for the drawing is obtained from the analyser.This._drawspectrum (analyser);}Draw a beautiful spectral mapThe next work, and the final step, is to implement
. Sound channel shapes include tongue and teeth. If we can know the shape accurately, we can accurately describe the generated phoneme. The sound channel is displayed in the envelope of the short-term speech power spectrum. Mfccs is a feature that accurately describes this envelope.
Mfccs (Mel frequency cepstral coefficents) is a feature widely used in automatic speech and speaker recognition. It was developed by Davis and mermelstein in 1980. Since then. In the field of speech recognition, mfcc
, the audio features have 3 main methods,GMM, Spectrogram (spectrogram), MFCC mel-frequency cepstrum (Mel frequency cepstrum)With all due respect, GMM extracts features that are less robust than the latter two.Also do not introduce more, interested classmates, turn over Wikipedia, make up for the missed lessons.Of course, in the actual use of the algorithm, this will extend a few tips.For example, use mute
, the result is equivalent to the original periodic signal in the "0,n-1" of the Fourier coefficients, divided by N to express the DFT formula and discrete periodic signal Fourier series formula needs;
Figure
Subplot (3,1,1);
Stem (n,x);
Subplot (3,1,2);
Stem ([-n/2:n/2-1],abs (Fftshift (X))); The horizontal axis of the spectrum map plotted here is the CTFs of the discrete periodic signal (Fourier coefficients, taking N as the cycle), the change in [-n/2:n/2-1], that is, the harmonic frequency (
Short-time Fourier transform, short-time Fourier transformation, sometimes called the window Fourier transform, the time window makes the signal only in a certain small interval, which avoids the traditional Fourier transform in the time-frequency local expression ability of the insufficiency, The Fourier transform has the ability of local localization. 1. Stft under the Spectrogram:matlab
How can I compute a short-time Fourier transform (STFT) in MATLAB?
Stft differs from ft in that it is more
required). Other areas are not known. All Learn
By the way R also learned
It's always true. The real difference is that Python is the first programming language, a development tool that provides scientific computing and simulation support through modules, and MATLAB is a computing and simulation tool that provides programming interfaces by the way. The purpose and user base of the two are different from the beginning. Logically speaking, Matlab is easier to get started and easier to start, Pyth
window function is in the scipy.signal Signal processing toolbox, such as the Hamming window:Import scipy.signal as Signalpl.plot (signal.hanning (512))Using the above function, draw the Hanning window:Import Pylab as Plimport scipy.signal as Signalpl.figure (figsize= (6,2)) Pl.plot (signal.hanning (512))6, signal sub-frameThe theoretical basis of the signal sub-frame, where x is the voice signal, W is the window function:Window truncation similar sampling, in order to ensure that the adjacent
adds standard deviation of 800 white noise. It can be seen that it is not easy to get the position of reflected echoes without any algorithm.Fig. 3 The theoretical echo signal and the simulated echo signal after adding the noiseOne of the most direct ideas is the short-time Fourier transform of the signal (Short-time FFT). The MATLAB code that simulates this process in MATLAB is as follows.Percent percent this script is used to verify the algorithm of short-time Fourier transform detection echo
character, we usually in the first step for each data sample to do the mean reduction (that is, minus the DC component), and then use Pca/zca whitening treatment, of which the epsilon is large enough to achieve the effect of low-pass filtering.
Color image
For color images, there is no stationary characteristic between color channels. So we typically scale the data first (so that the pixel value is in the [0,1] range), and then use a large enough epsilon to do the PCA/ZCA. It is necessary to at
In general, the sine-cosine signal is sampled and the DfT is calculated, and the spectrum is shown to be not clean. This phenomenon is called spectral leakage. Because the DFT operation can only be a finite sequence, a sudden truncation creates a leak.
There is a special case where the spectrogram is particularly clean when the sampling intercept is exactly the whole number of cycles. Can be understood as just take the complete cycle, the periodicity
...
Depending on the qwtplotitem: itemattribute flags,An item is wrongly ded into autoscaling or has an entry on the legnd.
Before misusing the existing item classes it might be better to implement a new type of plot item(Don't implement a watermark as Spectrogram). Deriving a new type of qwtplotitemprimarily means to implementThe yourplotitem: Draw () method.
See also:
The cpuplot example shows the implementation of additional plo
For more information, please GoogleInstallation method:Curl-s Https://s3.amazonaws.com/download.draios.com/stable/install-sysdig | BashExecute SYSDIG-CL | The result of lessCategory:application---------------------Httplog HTTP Requests LogHttptop Top HTTP RequestsMemcachelog memcached Requests LogCategory:cpu Usage-------------------Spectrogram visualize OS latency in real time.Subsecoffset visualize Subsecond offset execution time.Topcontainers_cpuTo
Fourier analysis is often used in engineering, and it is usually possible to study the frequency components of variables.Use Excel to generate the data you want to study, with the formula: Y==2*sin (x*2) +cos (x) +rand () *0.1These include two different frequency components, with a strength of twice times, and a noise signal component with a strength of 0.1.Using the Fourier analysis toolModulus to be analyzedCalculate power density using the Imabs functionAnalysis results:Comparing the original
, if there are more requirements that could not be listed, please note.Preparation: Basic use of PraatPraat has become a more popular voice processing software, it is also very convenient to use, there are many similar tutorials on the internet, the most famous when it is a teacher of the language of the Academy of Social Sciences, teachers can be downloaded to the official language website, do not trust the information of individual websites to buy this tutorial. I'm here to mention a few simpl
frequency information forms the edge and detail of the image. is the further enhancement of the image content in the intermediate frequency information.The Fourier transform can be used to obtain the image spectrum graph:The image on the left is the original, and the right is the spectrogram.• the frequency of images is an indicator of the intensity of gray changes in the image, and is the gradient of the gray level in the plane space. such as: a lar
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