filterfrequenz

Filterfrequenz, also known as the cutoff frequency or corner frequency, is a fundamental concept in signal processing and electronic filter design. It defines the frequency at which the output signal's amplitude drops to a specific level relative to the input, typically to 70.7% (or -3 dB) of its maximum value in filters such as low-pass, high-pass, band-pass, and band-stop types.

In the context of linear time-invariant (LTI) filters, the filter's transfer function describes how signals of different frequencies are attenuated or amplified. The filterfrequenz marks the boundary between the passband, where signals are largely unaffected, and the stopband, where signals are significantly attenuated. For low-pass filters, this is the highest frequency that passes with minimal attenuation; for high-pass filters, it is the lowest frequency that passes through. In band-pass and band-stop filters, the filterfrequenz typically refers to the center frequency or the frequencies at which the filter's response begins to roll off.

The exact value of the filterfrequenz depends on the filter design and components. It is determined by the filter’s cutoff point in the transfer function and is crucial for applications requiring specific frequency shaping, such as audio processing, communications, and instrumentation. Designers often select or adjust the filterfrequenz to optimize system performance or to eliminate unwanted signals.

In summary, the filterfrequenz is a key parameter in the characterization and implementation of electronic filters, representing the transition point that defines the frequency response's shape and behavior.