Filter Basics

Filtering is the oldest and most common type of signal processing, usually in the form of frequency selectivity or phase shaping, or both. Some filter applications include (1) extracting a desired signal from other signals, (2) separating signals from noise, (3) anti-aliasing in analog-to-digital converters or smoothing in digital-to-analog converters, (4) phase equalization, and (5) limiting amplifier bandwidths for reducing noise.

Filter Types

We can classify filters based on frequency range selectivity as: (1) low-pass filters, (2) high-pass filters, (3) band-pass filters, (4) band-stop, band-reject, or notch filters, and (5) all-pass filters.

Figure 1: Low-pass filter magnitude response and symbol.

Figure 2: High-pass filter magnitude response and symbol.

Figure 3: Band-pass filter magnitude response and symbol.

Figure 4: Band-stop filter magnitude response and symbol.

Figure 5: All-pass filter magnitude response and symbol.