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(Principal Component Analysis) Free MATLAB alternative for signal analysis

 


Dynamic Multi-Channel PCA





Understanding Test Signals & Synthetic Benchmarking

In signal processing, Test Signals are mathematically defined waveforms used to characterize, calibrate, and validate the performance of an algorithm (like PCA) before applying it to real-world data.

1. Periodic (Deterministic)

Sine waves represent ideal physical phenomena. They allow students to see if an algorithm preserves frequency and phase accuracy.

2. Stochastic (Noise)

Random Gaussian noise is added to simulate sensor error or thermal interference, testing the "De-noising" capability of the lab.

Why use Synthetic Multipath?

The Multipath Test Signals Mode in this simulator creates multiple versions of a single source wave, each with a random Time Delay and Attenuation (Fade). This mimics real-world scenarios such as:

  • 🔹 Acoustics: Sound reflecting off walls (reverberation) into multiple microphones.
  • 🔹 Telecommunications: Radio signals bouncing off buildings (multipath fading).
  • 🔹 Seismology: Seismic waves traveling through different rock layers to reach geophones.
The PCA Objective: Because we know the "Ground Truth" (the original sine wave) in synthetic mode, we can prove that the Principal Component successfully isolates the hidden source signal from the cluttered, delayed inputs.

Read about Principal Component analysis (PCA) in detail

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