Digital Signal Processing

Master the Art of
FIR Filters

An interactive platform for understanding Low Pass & High Pass Finite Impulse Response filters โ€” from theory and formulas to live simulations, 3D visualizations, and real Scilab code.

Everything You Need to Learn FIR

Five interconnected pages covering every aspect of FIR filter design and analysis.

LPF vs HPF โ€” At a Glance

LOW PASS ๐Ÿ”ต

Low Pass Filter

Allows frequencies below the cutoff ฯ‰c to pass with unity gain. Blocks high-frequency components.

hd[n] = (ฯ‰c/ฯ€) ยท sinc(ฯ‰cยทn/ฯ€)
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HIGH PASS ๐ŸŸฃ

High Pass Filter

Allows frequencies above the cutoff ฯ‰c to pass. Derived from LPF via spectral inversion.

hHP[n] = ฮด[nโˆ’M/2] โˆ’ hLP[n]
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Ready to Explore?

Start with theory, then watch the filter work in real-time, and finally see the implementation in Scilab.