How to Use Transfer Function for Tuning
Quick Answer
Using the transfer function for tuning means comparing the electrical input signal to the acoustic output signal using a dual-channel FFT analyzer. The resulting magnitude, phase, and coherence data reveal the true system response independent of the test signal spectrum, enabling precise, confident equalization decisions that single-channel RTA measurement cannot provide.
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Equipment Needed
- ✓SonaVyx Transfer Function measurement tool
- ✓Measurement microphone (omnidirectional)
- ✓Audio interface with reference output and mic input
- ✓Pink noise source (built into SonaVyx)
- ✓System processor with parametric EQ
Step-by-Step Guide
Configure Dual-Channel Input
Set up two input channels: the reference (electrical signal feeding the amplifier or processor) and the measurement (microphone capturing the acoustic output). In SonaVyx, the reference can be the internal pink noise generator output, and the measurement is your microphone input. The analyzer divides the measurement FFT by the reference FFT at each frequency bin, producing H(f) = Y(f)/X(f). This division cancels the source spectrum, showing only the transfer function of everything between the reference point and the microphone.
Select Appropriate FFT Settings
Choose an FFT size that balances frequency resolution against time resolution. 4096 points at 48 kHz gives 11.7 Hz resolution and 85 ms time windows. 8192 points gives 5.9 Hz resolution but 170 ms windows. Larger FFTs reveal more low-frequency detail but are slower to update and more susceptible to temporal variations. For system tuning, 4096 is a good starting point. Apply a Blackman-Harris window to minimize spectral leakage. Use linear averaging with 16 to 32 averages for stable results.
Read the Magnitude Trace
The magnitude trace shows the system's frequency response: how much gain or loss occurs at each frequency. A flat trace means the system reproduces the input signal without frequency-dependent coloration. Peaks above the target curve indicate excessive energy that should be reduced with EQ. The magnitude trace is the primary guide for tonal EQ adjustments. Apply 1/6 octave smoothing for EQ decisions. Use SonaVyx's target curve overlay to visualize deviations from your desired response.
Interpret Coherence
The coherence trace (0 to 1) shows how linearly related the input and output are at each frequency. Coherence near 1.0 means the output is entirely determined by the input, confirming reliable measurement data. Coherence below 0.5 indicates contamination from reflections, noise, or nonlinear behavior. The critical rule: never EQ at frequencies with low coherence. If coherence is low, improve it by increasing source level, averaging more, reducing reflections, or moving the microphone closer to the speaker.
Analyze Phase Response
The phase trace shows the timing relationship between input and output at each frequency. A system with pure delay shows a linear phase slope: the steeper the slope, the longer the delay. Phase wrap at 180 degrees is normal and causes the trace to jump. Look for the delay finder or group delay display, which converts the phase slope to propagation time. Phase discontinuities at crossover frequencies indicate driver alignment issues. Subwoofer phase alignment is verified by checking that sub and main phase traces converge at the crossover frequency.
Make EQ Decisions
With magnitude, phase, and coherence visible, apply EQ with confidence. Cut peaks where coherence is above 0.85 using parametric EQ with appropriate bandwidth matching the peak width. Ignore dips where coherence is low, as these represent spatial interference that EQ cannot fix. After each EQ change, re-measure to verify the adjustment produced the expected result. Compare smoothed transfer function against your target curve. Stop when the response is within plus or minus 3 dB of target across the system's passband.
Transfer Function vs RTA: The Critical Difference
An RTA (Real-Time Analyzer) shows only the microphone signal spectrum, which includes both the system response and the source signal spectrum. If you play music through an RTA, you see the music spectrum, not the system response. Even with pink noise, RTA measurement varies moment-to-moment as the noise spectrum fluctuates. Transfer function eliminates this variability by dividing the output by the input, isolating only the system's contribution to the signal.
The H1 Estimator
SonaVyx uses the H1 transfer function estimator, defined as H1(f) = Gxy(f) / Gxx(f), where Gxy is the cross-spectral density between input and output, and Gxx is the auto-spectral density of the input. H1 minimizes the effect of noise at the output (microphone), making it ideal for acoustic measurements where ambient noise contaminates the microphone signal. The companion coherence function quantifies how much of the output is linearly related to the input, providing a built-in reliability indicator.
Practical Workflow
The professional system tuning workflow proceeds as follows: measure transfer function at the primary position, apply corrective EQ, re-measure to verify, store the reference trace, move to the next position, compare, and adjust. SonaVyx's trace store/recall feature supports this workflow by storing up to 10 traces with color coding for comparison. The crosshair cursor provides precise frequency and level readout at any point on any visible trace.
Common Mistakes to Avoid
Confusing transfer function with RTA, which does not remove the source signal spectrum and produces less accurate EQ decisions
Ignoring coherence and EQing at frequencies where the measurement is unreliable due to reflections or noise
Using too small an FFT size for low-frequency analysis, which lacks the resolution to see room modes below 100 Hz
Not averaging enough, causing noisy magnitude and phase traces that fluctuate with each update
Misinterpreting group delay as a frequency response problem, when it actually indicates timing issues
Applicable Standards
| Standard | Clause | Relevance |
|---|---|---|
| AES-2id:2023 | Clause 3 | Recommended practice for dual-channel transfer function measurement |
| IEC 60268-5 | Clause 17 | Frequency response measurement methodology using transfer function |
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Design-Time Companion
Need to design room acoustics before measuring? AcousPlan handles room acoustic design, while SonaVyx handles deploy-time measurement and tuning.