Reid Baris, Tim Cheng, and Annika Schaad
The Science and Engineering Complex (SEC) Atrium is a large atrium at the center of the school of engineering at Tufts University. It was constructed in the process of building on to two existing buildings, and creating a shared common space between them. Geometrically, it consists of a large, L-shaped center atrium with balconies on three upper floors overlooking it on multiple sides.
Materials used in our analysis of this space.
A visualization of the material was used to model each component of the room.
This room is an atrium used primarily as a multipurpose gathering space. At various hours of the day, there are students and faculty collaborating on course work, eating meals, or socializing at tables that are spread over most of the main floor. There is a cafe along one wall which operates from 8 am to 7 pm, producing sounds from espresso machines, refrigerators, and blenders, as well as people ordering and working. Noise also comes from nearby laboratories and foot traffic on the upper three floors.
The space is also used for networking events, speaking events, and musical performances, most commonly featuring small groups of 1-3 musicians. There are several guidelines for arrangements of the space depending on the capacity of the event, ranging from 100-170 audience members. Two of these guidelines are included below; one for a theater/lecture event, and one for a banquet/reception event.
During the impulse measurement process, we used one source (i.e., balloon) location and two receiver (i.e., microphone) location, as visualized in the images to the right.
Source: In front of the wall by Kindlevan Cafe, where performers are often positioned.
Receiver #1: 2 m directly in front of the source, as to simulate a close audience member.
Receiver #2: Further from the source location, near the front entrance, so as to simulate the listening experience of an audience member further away.
For each of these receiver locations above, an impulse response was generated by popping a balloon at the source location. The resulting sound was recorded at the receiver location by an omnidirectional microphone. Each measurement was taken with minimal people in the space and little background noise present, aside from the relatively quiet HVAC system. Receiver #1 was intended to represent an audience member close the the performer or another ensemble member, while Receiver #2 was meant to represent the listening experience of audience members near the back of the performance space.
Using Matlab, we were able to analyze the data from our impulse responses and generate a table of values for reverberation time and clarity from frequencies ranging from 125 Hz to 4 kHz. This table can be found directly below. Note that we included a T15 reverberation time in hopes of capturing lower frequency RTs and mitigating background noise effects. T15 was found by finding the time it took for a 15 dB drop in sound pressure and multiplying by 60/15. In addition, we used the Sabine equation in order to estimate the reverberation time of the room. The results of these calculations are included directly to the right, located under the Sabine equation.
Based on these results, we feel that the there is a lack of clarity in the space, particularly at higher frequencies. The main consequence is that it becomes relatively difficult to clearly hear the audio from a sound source, and becomes more difficult as one gets further away. Moreover, the lack of early reflections make it harder for musicians to hear each other, as well as for both musicians and speakers to project sound to the back of the space. Although the reverberation times are reasonable, the loudness and clarity seem to be good metrics to focus on improving.
Characteristic data from measured impulse
During the characterization process, one of our group members played the violin at the identified source and receiver points, as well as by the seating area past Kindlevan Cafe. We observed that the room was reasonably reverberant, i.e., wet, as well as that the higher pitched notes seemed to not last quite as long as the low-frequency notes. Moreover, although the sound carried fairly well at short distances, it was tougher to hear the violin in further corners of the room.
In addition, after noticing a large number of parallel surfaces, we used sharp claps to identify the presence of a flutter echo, a phenomenon which we found to be prevalent in the space, particularly in the front entrance hallway.
Lastly, when surveying the room, a conversation was made with an AV technician setting up for a speaker event. After asking a few questions about the room’s characteristics, it was concluded that the room ‘was not very challenging to set up amplification in’ and that ‘the echoes dissipated when the room was filled with people’. This tracked with our own listening experience when observing a wet environment with noticeable reverberation and echo, as looking back at the quantitative results, the reverberation times were reasonable, but significantly lower at higher frequencies. That being said, the additional absorption provided by a crowd suggests that additional reflective surfaces would be beneficial to aid the sound in reaching the back of the audience.
When comparing our space to the target values specified in Preferred Occupied Mid-frequency Values by Beranek (1962), as shown in the table to left, there are some places for improvements. These target values are intended for concert halls, which our space is not, but they are a good starting point against which to compare our space.
Overall, the main parameter that we have identified for change is clarity, quantified in the table as C80. While the values suggested by Beranek are not a perfect fit for the space, there was still a large discrepancy (10dB) between the experimental values and preferred values for clarity. There was also an abundance of parallel walls that caused a series of flutter echoes. As such, we would suggest adding reflectors near the stage to increase clarity, and to add additional diffuse reflectors to inhibit flutter in plagued areas.
The reverberation time is slightly lower than the target value for a concert hall. Still, the experimental reverberation times are closer to the target values than the clarity values, so while we would like to increase the reverberation times slightly, our focus is on clarity.
In order to accomplish this, we are proposing to add a set of plastic reflector panels to the room. Panels placed behind the performers to would increase first order reflections in the direction of the audience, as well as increasing overall loudness (see the figure to the left for an example of such reflectors). Moreover, these reflectors could be portable, and the room could retain its multipurpose qualities. A further step would be the addition of overhead reflectors in addition to the portable reflectors. We will be modeling these as glass panels to avoid blocking natural sunlight and retain the aesthetics of the room. Glass is smooth and has very low absorption coefficients, making it an ideal material for spectral reflections. Dimensions and placement of the panels were based on recommendations (for a speaker scenario) by Kinetics Noise Control and consisted of eight tilted 9x9 ft panels, raised 20 ft off the ground. To mitigate flutter echoes, we will also be adding diffuse reflectors to parallel walls. The effect of these reflectors will not be as evident in the presented auralizations as the simulation software utilized was not based on wave mechanics, making flutter echoes harder to observe.
Utilizing SketchUp, we were able to create a 3D-model of the SEC Atrium, as shown on the right. In this model, each color represents one of the materials identified in the Background section of this website. Additionally, we added a custom material to represent the hallways that we did not model in detail, which we simplified so as to not have an unreasonably large model. Additionally, we chose not to model features such as tables and chairs which are often moved around in the space, choosing instead to incorporate high scattering coefficients at all frequencies on the floor. From here, we exported this model into CATT Acoustic in order to run acoustical simulations on the space and to see how our recommended changes would impact the room acoustics.
Once the CATT Acoustic model was generated, source and receiver positions had to be chosen. To represent the source and receiver positions outlined in the Room Characterization section of this website, we considered two use cases of the SEC Atrium as a performance space:
Speaker Event (lecture, presentation, etc.)
Unamplified Musical Event (string quartet performance)
We ran our simulation for 3000 milliseconds, using algorithm 1 of TUCT, with 2nd order reflection splitting and 200,000 initial rays. For the speaker event, one source was placed near the source location for our impulse response to represent a single speaker, while the musical event consists of four sources placed in an arc to represent a string quartet. A visualization of these scenarios is included below. In both of these cases, two receivers were placed near the locations of our receivers from our impulse responses to represent the front and back of the listening area. We modeled the speaker using the characterization "talker", as provided, which has a narrow, highly directional polar pattern. We modeled the quartet sources using the characterization "wide cardioid," which has a wider, though still directional, polar pattern. The individual speaker source was oriented directly towards the audience, while the quartet sources point towards where a conductor would stand, as shown to the right. For our simulated reverberation times, we used an omnidirectional source and receiver pair consistent with the positioning of our measured impulse response for best comparison. In this simulation, we ran with the same TUCT conditions, but with 100,000 initial rays for the sake of efficiency.
SEC Atrium model in SketchUp
SEC Atrium model in CATT Acoustic
Scenario #1: Speaker Event
Scenario #2: Musical Performance
Based on our listening experience and quantitative values discussed above, we determined that the acoustics of SEC Atrium have significant room for improvement. More specifically, the clarity and loudness of the space is somewhat lacking, and the lack of reflections hinders the ability sound to travel throughout the space. Although this is the case for speaker events, it is particularly true for musical performances. We have chosen to analyze both C50 and C80 to assess both use cases of the space; C50 will be used to analyze speech clarity, as it describes the first 50 ms of sound energy, in which the majority of speech information is present. C80 will be used to analyze musical clarity, as the human ear is slightly less sensitive to variations in clarity when it comes to musical performances. Thus, our goal is to slightly increase T15, decrease C50 and C80, and increase loudness. Moreover, we observed that the parallel walls in the front entrance hallway produced a noticeable flutter echo. As such, we considered two possible solutions to simulate in CATT Acoustic.
Clamshell: Cost Effective
Portable acoustical orchestra shell included to add early reflections, increase loudness, and allow direct sound towards the audience
Diffuse reflector added to the back of the brick supports in the front entrance hallway to remove the flutter echo
Overhead Reflectors: Best Performance
Permanent glass reflectors suspended from the ceiling to allow sound to better travel throughout the listening area
Portable acoustical orchestra shell included to add early reflections, increase loudness, and direct sound towards the audience
Diffuse reflector added to the back of the brick supports in the front entrance hallway to remove the flutter echo
Original Model
Clamshell: Cost Effective
All Reflectors: Best Performance
As expected, the change in clarity was more significant than the change in reverberation times. The reverberation was largely unaffected because the added surface area to the atrium was small compared to the overall surface areas of the atrium (~2,500 ft^2 compared to 200,000 ft^2). By compairson, clarity is measured here by the ratio of early and late sound energy in the room. Adding the reflectors helped produce more early reflections, thereby increasing clarity, and lowering the value of our quantitative parameter as desired. The clarity value for the clamshell leans slightly too low; the direct sound is relatively lower, and the reverberation time is slightly lower than desired as well. This could be detrimental with music, where some reverberation is desirable. However, this is an effect that would need to be corroborated with qualitative observation.
Experimental Data
Original Model
Clamshell
All Reflectors
An auralization is a binaural simulation of a source in a particular space at a given listening position. Is primary components are an impulse response, a convolution of said impulse response with anechoic audio, and a spatial rendering of the convolution to represent the source and receiver positions.
The impulse response for an auralization may be either measured, as with our balloon pop and omnidirectional microphone, or simulated, as with our TUCT ray tracing simulations. This impulse response can then be combined with an anechoic recording of a source through a process known as convolution. Convolution represents the area of overlap under the combination of the anechoic recording and impulse response as the impulse response "slides across" the anechoic recording. It can be understood as modifying the anechoic recording based on the impulse response of the room-- frequencies that are more represented in the impulse response will then be louder in the convolved audio. It is important that anechoic audio, or audio recorded in a room with little to no reverberation, is used in this process so that the dynamics of the room in which the audio was recorded does not affect the auralization. Finally, it is important that when the convolved audio is presented, there is a spatial rendering of the space which the convolution is meant to depict. The visual depiction of the changes in a space allows the listener to contextualize what they are hearing within the larger project of designing the room, and allows them to keep track of which option they are listening to.
Auralizations are used widely in acoustical consulting as design and communication tools. In the process of designing a space, it can be useful to compare multiple simulations of design parameters in varying configurations to see how large of a difference is made between changes. Once options have been identified, it is then necessary to communicate the significance of these changes. The clients of a given project may not have a strong theoretical understanding of the impacts of these parameter changes. An auralization allows them to make informed choices based on the more intuitive way they experience sounds in the simulated space, in addition to other factors such as cost and aesthetics that they may be more familiar with.
In the visualizations below, the source labelled A0 represents the speaker position, and sources B1, B2, B3, and B4 represent the chamber quartet.
Speaker
String Quartet
Speaker
String Quartet
Speaker
String Quartet
Speaker
String Quartet
Speaker
String Quartet
Speaker
String Quartet
Although they are on a similar order of magnitude, our initial Sabine-calculated reverberation times are noticeably larger (+0.1 to +1 s, depending on frequency) than our measured reverberation times. This is almost certainly caused by inaccuracies with our estimations of room dimensions. Because we were unable to acquire dimensioned floor plans, we had to interpolate and estimate the overwhelming majority of areas/volumes. This likely led to compounded errors which led us to underestimate our reverberation times. Moreover, we opted to exclude a variety of surfaces such as tables, chairs, and counters, which could have had a larger impact than we had expected.
As for the qualitative room parameters, these lined up reasonably well with our listening experience in the space. Particularly, the abundance of flutter echoes caused by a plethora of parallel surfaces contributed to the larger reverberation times, causing the room to sound reverberant, wet, and have a noticeable echo. The calculated values of Clarity (C50/C80) were also undesirably high (~7 compared to a preferred of -4 to 0). While not a perfect representation of intelligibility of words, this could explain the regular use of amplification for vocal presenters.
Moreover, when playing violin in the space, we noticed that lower frequency notes seemed to last longer than their high frequency counterparts. This lines up with our numerical results, which demonstrate higher absorption at higher frequencies, as well as a bass ratio of approximately one.
That being said, we feel that the ability for a speaker or performer to fill the space of the large room is not well-described by these calculated parameters. As such, we would consider using the strength parameter to characterize the loudness of the space in order to better identify this room attribute.
Qualitatively, listening to the different auralizations gave distinct and positive feedback. The inclusion of the orchestra shell greatly improved the intelligibility of the speaker, making their words more distinct and less overwhelmed with reverberation. It made the speaker sound warmer and the cellist became more present, the balance between the musicians greatly improved. The shell noticeably increased the loudness at the further position as well, regardless of the source. The resultant sound had a more intimate and less distant feel. The difference between the clamshell alone and the addition of overhead glass panels was less dramatic. We could still pick up differences that positively impacted the listening experience, but the change was far less dramatic. The musicality, the loudness, and this time the reverberation were slightly effected. The glass added slightly more reverberation to the instruments, but without the loss of intelligibility to the speaker. The reverberation sounded more like a grand hall for the quartet without sounding like an empty warehouse. Qualitatively, the clarity was slightly improved; the difference was more noticetable from the further receiver.
These results are also supported quantitatively. As desired, the reverberation times are very similar in all three cases, but the clarity values improved drastically. Looking at the data from the simulation results section above, the unmodified room had C50 values ranging from 2 to 4 dB; adding the clamshell lowered these values into the range of -11 to -19 dB. The additional overhead reflectors increased the C50 values slightly, but still resulted in an improvement from the base case, with values ranging between -4 and -14 dB. Although the clarity drop is more profound at lower frequencies, the high frequency drop relative to the unchanged model was significant. The values for C80 follow a similar pattern, although the changes are less dramatic. This demonstrates quantitatively that both speech and musical clarity should be improved by our proposed changes. Overall, these results mesh well with the qualitative listening experience. The clamshell made a dramatic difference improving the sound quality of the space, both in terms of loudness and sound clarity, while the glass reflectors in conjunction with the clamshell made a difference which was tangible, though not nearly as dramatic. The addition of early reflections in the clamshell caused a sharp decline in C50 and C80, while the glass reflectors added later reflections to modify this impact. In short, by significantly lowering the C50 and C80 values at every frequency, the data shows that our modifications successfully hit our metric of improving the clarity of the SEC Atrium.
Based on the results of our simulations and auralizations, we feel that our modifications absolutely achieve the goals that we set out to accomplish. Qualitatively, the sound sources become louder, warmer, and clearer, while the quantitative results demonstrate a decrease in clarity (a good thing in our case) with similar reverberation times. That being said, it is worth mentioning that the clamshell had a significantly bigger impact than the glass clouds. Given the fact that the installation of these glass panels would be much more expensive and time-consuming than the portable clamshell, it probably would not be worth it to install them. As such, we would recommend the first design solution, which consists of the clamshell and not the reflectors.
Regarding the feasibility of our suggested changes, the ones in the cost effective scenario are very realistic. The addition of diffuse reflectors would be inexpensive and easy to install, particularly so considering the actual surface area that they would cover is relatively small. Moreover, the acoustic orchestra shell would be reasonably priced, easy to install and move, and the device's portability would prevent it from inhibiting the SEC Atrium's use as a multipurpose space. In contrast, the addition of permanent glass panels would not be quite as feasible. The main challenges would be the large price tag, difficulty of installation, and permanence of the design solution. While beneficial for performances, the reflectors might not be ideal for the room's everyday use.
Generally speaking, we feel that the auralization progress was a success, as it very effectively demonstrated the acoustical differences between the three different versions of the room model, including with different sound sources and from different listening locations. As such, it allowed us to identify the qualitative benefits and drawbacks of different modifications to the design. However, this process was not without its limitations.
Firstly, the auralizations were listened to using headphones, which cannot perfectly simulate spatial audio. As such, we had to deal with problems of head tracking and in-head localization. Head tracking refers to the fact that if the user turns their head, it will not change the listening experience the way that it would if they were listening in person. In addition, in-head localization describes the discrepancy between an in-person listening experience and a headphones-based listening experience, where the sound will appear to the headphones user to be coming from inside their own head, as opposed to in front of or around them. Given the resources available to us, these issues were fairly inevitable.
Moreover, our CATT Acoustic simulations utilized cone tracing and not wave modeling. This was done due to the fact that wave modeling takes significantly longer to run while only providing marginally better results. With a room as large and complex as the SEC Atrium, we felt that this trade-off was reasonable. Furthermore, our model included some geometric simplifications, such as the omission of tables and chairs, which were instead accounted for in our scattering coefficients. Lastly, our absorption and scattering coefficients are not perfect, as many assumptions had to be made about the materials in the room. We believe the impacts of these choices to be negligible, and that our representation of the space is still useful, given the closeness of our measured and simulated parameters.
If we had more time to improve our process, we would have taken the time to allow CAT5T to run more computationally-intensive algorithms, such as a wave-based method. This would likely yield more accurate results, as well as better visualize the impacts of our efforts to mitigate the flutter echo. In addition, we would have performed more a detailed analysis of the materials in the room, instead of making educated guesses regarding the use of materials and their absorption and scattering coefficients.