Sound
Digital Delay For Application in Surround Sound
4.0 Results
4.1 ELECTRICAL TESTING
All measurements were conducted using MLSSA (Maximum Length Sequence
System Analyser), unless otherwise stated. A bandwidth of 25kHz was selected,
as well as a Chebyshev anti-aliasing filter.
4.1.1 Frequency Response
The frequency response was averaged over ten readings, see FIG 4.0. At
20.047kHz the magnitude is 4dB down.

FIG 4.0 Frequency Response
4.1.2 Signal to Noise Ratio
The signal to noise ratio, S/N, was measured using a real time analyser
and confirmed using a Lindos LA1 Distortion Analyser.
Firstly the S/N was investigated without any off-sets configured to the
ADC or DAC, however it was discovered that this gave a poor result. Subsequently
off-set trim-pots were added and the measurements carried out again.
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Without Off-Set Trim-Pots
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59 dB
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With Off-Set Trim-Pots
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77.8 dB
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TABLE 4.0 Signal to Noise Ratio (Linear weighted)
4.1.3 Phase Characteristic and Delay Time Measurement
The overall phase response of the processor was determined for a delay
setting of zero.
From further phase measurements taken at 1, 2, 3, 4 and 5 ms the accuracy
of the delay time could be calculated.
Each measurement was averaged over ten readings.

FIG 4.1 Overall Phase Response - Delay = 0 ms
FIG 4.2 Phase Response - Delay = 1 ms
FIG 4.3 Phase Response - Delay = 2 ms
FIG 4.4 Phase Response - Delay = 3 ms
FIG 4.5 Phase Response - Delay = 4 ms
FIG 4.6 Phase Response - Delay = 5 ms
From analysis of the phase
figures, the delay can be shown to be working correctly.
TABLE 4.1 shows changes in phase at one frequency (515.9198 Hz) for
incrementations of 1 ms.
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Delay (ms)
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Change in Phase (Degrees)
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0 to 1
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-182.667
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1 to 2
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-186.78
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2 to 3
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-186.391
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3 to 4
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-186.83
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4 to 5
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-185.361
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TABLE 4.1 Change in Phase at 515.9198 Hz for Varying Delay
Times
The actual phase difference for a signal of frequency with period t subjected
to a time delay -T, can be found from the following equation:
Phase = (-T/t) x 360°
Therefore for a frequency of 515.9198 Hz, period t = 1.938 ms subjected
to a 1 ms time delay, the phase difference would be -185.73°.
The average phase change from TABLE 4.1 is -185.606°.
If more readings were taken for different time delays then the values
should correlate even better.
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