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Interactive VCF & Bode Plot Simulator



VCF LABORATORY & BODE ANALYZER

CUTOFF FREQUENCY 1000 Hz
RESONANCE (Q) 1.0
FILTER TYPE
BODE PLOT (MAGNITUDE RESPONSE in dB)
OUTPUT SPECTRUM (REAL-TIME FFT)

Filter Transfer Functions

In a VCF lab, we describe a filter using its Magnitude Response. This tells us the Gain (A) of the system at every frequency.

|H(f)| = 1 / √(1 + (f / fc)2n)
  • 1. Cutoff Frequency (fc)

    The frequency where the power of the signal is reduced by half (-3dB). In our simulator, this is the point where the red line starts its steep drop.

  • 2. Resonance (Q)

    The "Quality Factor" defines the damping of the filter. Mathematically, a high Q creates a peak in the response by moving the system's "poles" closer to the imaginary axis in the S-Plane.

  • 3. Slope (Roll-off)

    Standard filters are measured in decibels per octave. A 4-pole filter (common in Moog synths) drops at 24dB/octave, meaning every time the frequency doubles, the volume drops by about 16 times.

Note: The Bode Plot is essential because it allows us to visualize "Stop-bands" (frequencies we block) and "Pass-bands" (frequencies we keep) at a single glance.

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