The TLb -- Transient Response

A Bipolar Transmission Line Project -- the TL_B
click images for larger picture

Section 4: Transient Response Simulation

An insight into the transient response of the system can be gained by considering the system response of a gated sine for a vented vs a Q_tc =0.707 sealed system. The woofer's loading by a TL is equivalent to a response of Q_tc=0.5. This correspondence will be documented in the system response data section.

Transient response for closed box. Q_tc=0.50

Fig. 4.0 Closed box Impedance Q_tc =0.50

Fig. 4.1 Closed box Transient Response Q_tc =0.50

Transient response for closed box. Q_tc=0.707

Fig. 4.2 Closed box Impedance Q_tc =0.707

Fig. 4.3 Closed box Transient Response Q_tc =0.707

Transient response for the vented box

Fig. 4.4 Vented box Impedance

Fig. 4.5 Vented box Transient Response

Note that the falling edge has a minimal overshoot and has settled in less than a cycle
Note that the falling edge has a very high negative overshoot and requires over 1 and ¹/₂ cycles (approximately 30 ms) to settle.

While a comparable simulation for the TL can't be readily done, the comparison of the impedance data suggest that the TL will have a better transient response and provides some understanding of why the very linear impedance of the TL_B data is important. This is ascertained in the subjective aural tests of the monopole vs the bipole TL configurations. I hope that this examination provides some hard data to buttress the subjective impressions of the importance of transient response.

An alternative way of examining the systems response is by a step impulse.

This shows the time alignment of the woofer's and tweeter's response and gives an indication of the time coherence and thus the imaging capabilities of the system.

The rising edge is the tweeter's response and the second bump indicates the woofer's response.

This is a very good pulse reproduction by the speaker.

Fig. 4.6 TL_Bstep function response

Fig. 4.7 TL_BCSD response
The third way to judge the systems response is to examine the Cumulative Spectral Decay plot.

Since the CSD plot is 1 meter in room response, the decay characteristics are consistent with the TL_B design of 4 pi steradian reflected sound. The decay is very gradual in the lower frequencies indicating that a very complex reverberant field has been achieved.

Note that the CSD shows a smooth decay without any resonance ridge characteristics. The tweeter and woofers merge is also very smooth justifying the minimal CR design.

[ Contents | Introduction | Methodology | Radiation Response | Transient Response | Frequency Response | Construction ]

A Bipolar Transmission Line Project -- the TL_B click images for larger picture Section 4: Transient Response Simulation An insight into the transient response of the system can be gained by considering the system response of a gated sine for a vented vs a Q_tc =0.707 sealed system. The woofer's loading by a TL is equivalent to a response of Q_tc=0.5. This correspondence will be documented in the system response data section.
Transient response for closed box. Q_tc=0.50 Fig. 4.0 Closed box Impedance Q_tc =0.50 Fig. 4.1 Closed box Transient Response Q_tc =0.50	Transient response for closed box. Q_tc=0.707 Fig. 4.2 Closed box Impedance Q_tc =0.707 Fig. 4.3 Closed box Transient Response Q_tc =0.707	Transient response for the vented box Fig. 4.4 Vented box Impedance Fig. 4.5 Vented box Transient Response
	Note that the falling edge has a minimal overshoot and has settled in less than a cycle	Note that the falling edge has a very high negative overshoot and requires over 1 and ¹/₂ cycles (approximately 30 ms) to settle.
While a comparable simulation for the TL can't be readily done, the comparison of the impedance data suggest that the TL will have a better transient response and provides some understanding of why the very linear impedance of the TL_B data is important. This is ascertained in the subjective aural tests of the monopole vs the bipole TL configurations. I hope that this examination provides some hard data to buttress the subjective impressions of the importance of transient response.
An alternative way of examining the systems response is by a step impulse. This shows the time alignment of the woofer's and tweeter's response and gives an indication of the time coherence and thus the imaging capabilities of the system. The rising edge is the tweeter's response and the second bump indicates the woofer's response. This is a very good pulse reproduction by the speaker.		Fig. 4.6 TL_Bstep function response
Fig. 4.7 TL_BCSD response	The third way to judge the systems response is to examine the Cumulative Spectral Decay plot. Since the CSD plot is 1 meter in room response, the decay characteristics are consistent with the TL_B design of 4 pi steradian reflected sound. The decay is very gradual in the lower frequencies indicating that a very complex reverberant field has been achieved. Note that the CSD shows a smooth decay without any resonance ridge characteristics. The tweeter and woofers merge is also very smooth justifying the minimal CR design.
[ Contents \| Introduction \| Methodology \| Radiation Response \| Transient Response \| Frequency Response \| Construction ]