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Precedence effect

Precedence effect is a engineering topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Precedence effect rather than just read about it. In short: The precedence effect or law of the first wavefront is a binaural psychoacoustical effect concerning sound reflection and the perception of echoes. When two versions of the same sound presented are separated by a sufficiently short time delay (below the listener's echo threshold), listeners perceive a single auditory event; its perceived spatial location is dominated by the location of the first-arriving sound (the…

Key takeaways

  • Precedence effect belongs to engineering; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Precedence effect to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Precedence effect from memory before moving on to harder problems.

Reference excerpt

The precedence effect or law of the first wavefront is a binaural psychoacoustical effect concerning sound reflection and the perception of echoes. When two versions of the same sound presented are separated by a sufficiently short time delay (below the listener's echo threshold), listeners perceive a single auditory event; its perceived spatial location is dominated by the location of the first-arriving sound (the first wave front). The lagging sound does also affect the perceived location; however, its effect is mostly suppressed by the first-arriving sound. The Haas effect was described in 1949 by Helmut Haas in his Ph.D. thesis. The term "Haas effect" is often loosely taken to include the precedence effect which underlies it.

History Joseph Henry published "On The Limit of Perceptibility of a Direct and Reflected Sound" in 1851. The "law of the first wavefront" was described and named in 1948 by Lothar Cremer. The "precedence effect" was described and named in 1949 by Wallach et al. They showed that when two identical sounds are presented in close succession they will be heard as a single fused sound. In their experiments, fusion occurred when the lag between the two sounds was in the range 1 to 5 ms for clicks, and up to 40 ms for more complex sounds such as speech or piano music. When the lag was longer, the second sound was heard as an echo. Additionally, Wallach et al. demonstrated that when successive sounds coming from sources at different locations were heard as fused, the apparent location of the perceived sound was dominated by the location of the sound that reached the ears first (i.e. the first-arriving wavefront). The second-arriving sound had only a very small (albeit measurable) effect on the perceived location of the fused sound. They designated this phenomenon as the precedence effect, and noted that it explains why sound localization is possible in the typical situation where sounds reverberate from walls, furniture and the like, thus providing multiple, successive stimuli. They also noted that the precedence effect is an important factor in the perception of stereophonic sound. Wallach et al. did not systematically vary the intensities of the two sounds, although they cited research by Langmuir et al. which suggested that if the second-arriving sound is at least 15 dB louder than the first, the precedence effect breaks down. The "Haas effect" derives from a 1951 paper by Helmut Haas. In 1951 Haas examined how the perception of speech is affected in the presence of a single, coherent sound reflection. To create anechoic conditions, the experiment was carried out on the rooftop of a freestanding building. Another test was carried out in a room with a reverberation time of 1.6 s. The test signal (recorded speech) was emitted from two similar loudspeakers at locations 45° to the left and to the right in 3 m distance to the listener. Haas found that humans localize sound sources in the direction of the first arriving sound despite the presence of a single reflection from a different direction, and that in such cases only a single auditory event is perceived. A reflection arriving later than 1 ms after the direct sound increases the perceived level and spaciousness (more precisely the perceived width of the sound source). A single reflection arriving at a delay of between 5 and 30 ms can be up to 10 dB louder than the direct sound without being perceived as a secondary auditory event (i.e. it does not sound like an echo). This time span varies with the reflection level. If the direct sound is coming from the same direction the listener is facing, the reflection's direction has no significant effect on the results. If the reflection's higher frequencies are attenuated, echo suppression continues to occur even if the delay between the sounds is somewhat longer. Increased room reverberation time also expands the time span available for echo suppression.

Conditions for occurrence The precedence effect occurs if the subsequent wave fronts arrive between 2 ms and about 50 ms later than the first wave front. This range is signal dependent. For speech, the precedence effect disappears for delays above 50 ms, but for music, the precedence effect can still occur with delays approaching 100 ms. In two-click lead–lag experiments, localization effects include aspects of summing localization, localization dominance, and lag discrimination suppression. The last two are generally considered to be aspects of the precedence effect:

Summing localization: for time delays below 2 ms, listeners only perceive one sound; its direction is between the locations of the lead and lag sounds. An application for summing localization is the intensity stereophony, where two loudspeakers emit the same signal with different levels, resulting in the localized sound direction between both loudspeakers. The localized direction depends on the level difference between the loudspeakers. Localization dominance: for delays between 2 and 5 ms, listeners also perceive one sound; its location is determined by the location of the leading sound. Lag discrimination suppression: for short time delays, listeners are less capable of discriminating the location of the lagging sound. For time delays above 50 ms (for speech) or some 100 ms (for music) the delayed sound is perceived as an echo of the first-arriving sound, and each sound direction is localized separately and correctly. The time delay for perceiving echoes depends on the signal characteristics. For signals with impulse characteristics, echoes are perceived for delays above 50 ms. For signals with a nearly constant amplitude, the threshold before perceiving an echo can be enhanced up to time differences of 1 to 2 seconds. A special appearance of the precedence effect is the Haas effect. Haas showed that the precedence effect appears even if the level of the delayed sound is up to 10 dB higher than the level of the first wave front. In this case, the precedence effect only works for delays between 10 and 30 ms.

Applications The precedence effect is important for hearing in enclosed spaces. With the help of this effect, it remains possible to determine the direction of a sound source (e.g. the direction of a speaker) even in the presence of wall reflections.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Precedence effect

Start with the simplest possible case. Write down what Precedence effect claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In engineering, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Precedence effect before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Precedence effect ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Precedence effect

In research
Precedence effect appears in engineering research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Precedence effect in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Precedence effect is common in secondary-school and first-year university syllabi. It links to neighbouring topics Acoustics, Audio engineering, Hearing, so understanding it makes those chapters shorter.
In everyday life
Look for Precedence effect outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Precedence effect in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Precedence effect means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Precedence effect out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Precedence effect in simple terms?

The precedence effect or law of the first wavefront is a binaural psychoacoustical effect concerning sound reflection and the perception of echoes. When two versions of the same sound presented are separated by a sufficiently short time delay (below the listener's echo threshold), listeners perceiv…

Why does Precedence effect matter?

Because it connects several engineering ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Precedence effect?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Precedence effect.

Tags

  • Acoustics
  • Audio engineering
  • Hearing
  • Perception
  • Psychoacoustics
  • Sound

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