![]() Magnitude response of a low pass filter with 6 dB per octave or 20 dB per decade roll-off They are equivalent when the real part σ is zero. The frequency response is closely related to the transfer function in linear systems, which is the Laplace transform of the impulse response. The frequency response allows simpler analysis of cascaded systems such as multistage amplifiers, as the response of the overall system can be found through multiplication of the individual stages' frequency responses (as opposed to convolution of the impulse response in the time domain). In linear systems, either response completely describes the system and thus have one-to-one correspondence: the frequency response is the Fourier transform of the impulse response. The frequency response characterizes systems in the frequency domain, just as the impulse response characterizes systems in the time domain. Systems with a specific frequency response can be designed using analog and digital filters. In control systems, such as a vehicle's cruise control, it may be used to assess system stability, often through the use of Bode plots. In an audio system, it may be used to minimize audible distortion by designing components (such as microphones, amplifiers and loudspeakers) so that the overall response is as flat (uniform) as possible across the system's bandwidth. The frequency response is widely used in the design and analysis of systems, such as audio and control systems, where they simplify mathematical analysis by converting governing differential equations into algebraic equations. In signal processing and electronics, the frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function of input frequency. JSTOR ( August 2011) ( Learn how and when to remove this template message).Unsourced material may be challenged and removed.įind sources: "Frequency response" – news Please help improve this article by adding citations to reliable sources. This introduction and first section needs additional citations for verification.
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