Dual Microphone Array Design: Phase Difference, Beamforming & Engineering Trade-offs

In Part 1, we introduced the fundamentals of microphone arrays and beamforming.
Now, we move into the engineering core—how a 2-microphone (dual-mic) array actually works, and why it remains the foundation of most modern voice systems.

Despite its simplicity, the dual-mic array reveals nearly all the critical principles behind advanced array architectures.

Why Start with a 2-Microphone Array?

A microphone array can consist of dozens—or even hundreds—of elements.
However, every complex array can be reduced to interactions between pairs of microphones.

This makes the dual-mic array the fundamental building block for:

  • Smart speakers
  • AI voice modules
  • Wearables
  • Automotive voice systems

At SISTC, many optimized solutions begin with dual-MEMS microphone architectures, then scale into multi-channel arrays.

👉 Explore our MEMS microphone portfolio:
https://sistc.com/product-category/mems-microphone/

The Key Concept: Phase Difference

When a sound wave reaches two microphones placed at a distance D, it arrives at slightly different times.

This creates a phase difference, which determines whether signals:

  • Reinforce each other (constructive interference)
  • Cancel each other (destructive interference)

What affects phase difference?

  • Microphone spacing (D)
  • Sound frequency (λ)
  • Arrival angle (θ)
  • Applied delay (τ)
  • Phase inversion (ρ)

This relationship is the core mechanism behind beamforming.

Two Fundamental Array Types

Dual-mic arrays can operate in two main modes:

1. Additive Array (Summation Mode)

Working principle:

  • Signals are added together
  • Optional time delay aligns signals from a target direction

Characteristics:

  • Flat frequency response (on-axis)
  • Strong signal gain
  • Directionality depends on frequency

Typical configurations:

  • Broadside array
  • Endfire array

2. Differential Array (Subtraction Mode)

Working principle:

  • One signal is inverted and subtracted
  • Output = difference between microphones

Characteristics:

  • Strong directionality even at low frequencies
  • Built-in noise suppression
  • Limited bandwidth (low-frequency roll-off + high-frequency aliasing)

Broadside vs Endfire: Directional Behavior

Broadside Array

  • Maximum sensitivity perpendicular to mic axis
  • Symmetrical pickup pattern

Endfire Array

  • Maximum sensitivity along the mic axis
  • Strong forward focus

👉 Endfire arrays are widely used in:

  • Smart speakers
  • Voice assistants
  • Automotive cabins

From Omni to Cardioid: Pattern Formation

By adjusting delay and phase, dual-mic arrays can create classic directional patterns:

PatternDescription
OmnidirectionalEqual sensitivity in all directions
Dipole (Figure)Two opposite lobes
CardioidForward-focused pickup
SupercardioidNarrower front lobe
HypercardioidHighest directivity
Array factor of two-element differential end-fire array

These patterns are essential for voice isolation in noisy environments.

SNR Improvement in Dual-Mic Arrays

A key advantage of dual-mic arrays is SNR enhancement.

When signals align:

  • Signal power increases by +6 dB
  • Noise power increases by +3 dB

👉 Net improvement:
+3 dB SNR gain

This is critical for:

  • Far-field voice pickup
  • Low-power AI devices
  • Edge computing systems

The Trade-offs Engineers Must Consider

Designing a dual-mic array involves multiple trade-offs:

1. Microphone Spacing (D)

  • Larger spacing → better directionality
  • But → earlier spatial aliasing

2. Frequency Dependency

Additive arrays:

  • Lose directionality at low frequencies

Differential arrays:

  • Maintain directionality
  • But suffer from bandwidth limitations

3. Noise Sensitivity

Differential arrays:

  • More sensitive to mismatch between microphones
  • Require precise calibration

4. Implementation Complexity

Adding:

  • Time delay
  • Phase control
  • Gain weighting

increases system complexity—especially in real-time AI applications.

How SISTC Optimizes Dual-Mic Performance

At SISTC, we go beyond basic array design by integrating:

✅ High-consistency MEMS microphones

  • Tight sensitivity matching
  • Low self-noise

✅ Advanced noise reduction algorithms

  • Adaptive filtering
  • AI-based voice enhancement

✅ Hardware + software co-design

  • Signal conditioning circuits
  • Embedded processing modules

👉 Explore our integrated solutions:
https://sistc.com/product-category/sensor-module/

Real-World Applications

Dual-mic arrays are widely used in:

  • Smart home voice control
  • Bluetooth headsets
  • Automotive voice systems
  • Industrial voice interfaces

They provide an optimal balance between:

  • Performance
  • Cost
  • Power consumption

Conclusion

The dual-microphone array is the foundation of modern beamforming systems.

By leveraging:

  • Phase difference
  • Time delay
  • Signal subtraction

it enables:

  • Directional audio capture
  • Noise suppression
  • Efficient voice interaction

In the next article, we will explore how multi-element arrays (N-mic systems) dramatically enhance performance—and what it takes to design them effectively.

References

  1. Analog Devices application note AN-1328, available at https://www.analog.com/media/en/technical-documentation/application-notes/AN-1328.pdf [accessed June 2021]. Describes principle of operation, design, and construction of professional grade studio or live performance microphone using up to 32 analog MEMS microphones connected to op amps and a difference amplifier. Design is a volumetric array consisting of two additive broadside arrays in a differential end-fire configuration.
  2. TDK InvenSense applicaton note AN-1140, available at https://invensense.tdk.com/wp-content/uploads/2015/02/Microphone-Array-Beamforming.pdf [accessed June 2021]. Discusses basic principles and performance of various array configurations.

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