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Envelope Detection in Speech Signals

Module by: Chris Pasich. E-mail the author

Summary: How a speech signal can be broken down into smaller syllables.

Envelopes – Finding Syllables within Words

Once the system actually reads in the values from a voice signal, the most important thing to do is figure out how the signal is broken up. One of the more obvious methods is breaking a word or series of words into syllables. Although syllables are somewhat difficult to read, as they still have consonants, the vowel sounds make up the majority of the syllables, not to mention the louder part of these signals. As a result, breaking the words into syllables is a good start.

After we pass the signal through a smoothing, boxcar filter, there is a clear definition of the peaks. However, the question still remains – how do you pick up one of these peaks? In essence, the goal is to choose a correct threshold amount to start reading signals. The most important thing is managing to differentiate the numerous peaks while at the same time being able to keep the peaks for each and every signal. For example, with a threshold that is too low, noise may get picked up. More likely, however, is that with a threshold too high, some syllables may be ignored (figure 1).

Figure 1: An envelope with a low threshold value. The first syllable is not even detected, and will not be used for any analysis of the speech signal.
Low Threshold Envelope Detector
Low Threshold Envelope Detector (Graphic1.png)

As is evident, the first syllable gets completely ignored. As a result, it does not factor into the actual determination of who the speaker is. However, through testing, our group was able to discern a value that will achieve the desired results. Because the signal is normalized prior to being run through the enveloping functions, that threshold will not change for different input volumes. Thus, our desired signal output (with smoothing) will look something like the signal in figure 2.

Figure 2: An envelope detector with the correct threshold value. All the syllables are accepted and cut-off at the proper points.
Correct Envelope Detector
Correct Envelope Detector (Graphic2.png)

This ends up being a fairly nice solution to our problem, with one problem – the threshold cuts off the signal at sample values, not time values. We need time values to analyze the actual frequencies of the results so we can look at the formant sounds within each syllable. Thus, we go back to our initial timed signal rather than the sampled signal, and we get our desired results (figure 3).

Figure 3: Our initial speech signal with an envelope. In this case, the start point of the envelope to the end point of each envelope correspond to the start and end points of the syllables.
Enveloped Speech Signal
Enveloped Speech Signal (Graphic3.png)

Most of the signal is preserved, and all of the vowel sounds are preserved by the signal as well – most of what is cut off by the signal is a consonant. Now, we have multiple signals, each of which are almost entirely vowel sounds from our syllables. However, we have to go back to our initial problem – how do you analyze the vowel? How do you even interpret a signal like this?

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