Signal Processing Lab

Signal Generator

Frequency:100 HzAmplitude:1.0Noise:0.0Sample Rate:2000 Hz

Filter

Red dashed line = filter cutoff frequency. Spectrum colors map to frequency.

Signal Processing — Fourier & Filter Design

Signal processing underpins audio engineering, communications, and instrumentation by decomposing signals into their frequency components and selectively filtering them. This simulator lets you generate composite waveforms from multiple sinusoids, compute the Discrete Fourier Transform, and apply digital filters to isolate or remove specific frequency bands. Adjusting filter cutoff and order shows the time-frequency trade-off in action.

What you can do in this simulation

Compose a test signal by adding sinusoidal components of different frequencies and amplitudes
Compute and display the DFT magnitude spectrum to identify frequency content
Design low-pass, high-pass, or band-pass filters by setting cutoff frequencies
Choose filter order and window type (rectangular, Hamming, Blackman) and compare results
Overlay original and filtered waveforms to see noise removal in the time domain

Concepts covered

Fourier transform · DFT · filter design · frequency spectrum · sampling theorem · convolution

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