What does frequency response mean?
Definitions for frequency response
fre·quen·cy response
This dictionary definitions page includes all the possible meanings, example usage and translations of the word frequency response.
Princeton's WordNet
frequency responsenoun
(electronics) a curve representing the output-to-input ratio of a transducer as a function of frequency
Wikipedia
Frequency response
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. 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 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. 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. Systems with a specific frequency response can be designed using analog and digital filters. The frequency response characterizes systems in the frequency domain, just as the impulse response characterizes systems 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 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). The frequency response is closely related to the transfer function in linear systems, which is the Laplace transform of the impulse response. They are equivalent when the real part σ {\displaystyle \sigma } of the transfer function's complex variable s = σ + j ω {\displaystyle s=\sigma +j\omega } is zero.
ChatGPT
frequency response
Frequency response refers to the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system. It is typically represented as the magnitude of the system's response as a function of frequency, usually in a graphical or tabular format. It indicates how a system responds to different frequencies of the input signal - whether it amplifies or attenuates different frequencies. This can be very crucial in the design of systems in fields like acoustics, telecommunication, control systems, and signal processing.
Wikidata
Frequency response
Frequency response is the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system. It is a measure of magnitude and phase of the output as a function of frequency, in comparison to the input. In simplest terms, if a sine wave is injected into a system at a given frequency, a linear system will respond at that same frequency with a certain magnitude and a certain phase angle relative to the input. Also for a linear system, doubling the amplitude of the input will double the amplitude of the output. In addition, if the system is time-invariant, then the frequency response also will not vary with time. Two applications of frequency response analysis are related but have different objectives. For an audio system, the objective may be to reproduce the input signal with no distortion. That would require a uniform magnitude of response up to the bandwidth limitation of the system, with the signal delayed by precisely the same amount of time at all frequencies. That amount of time could be seconds, or weeks or months in the case of recorded media. In contrast, for a feedback apparatus used to control a dynamic system, the objective is to give the closed-loop system improved response as compared to the uncompensated system. The feedback generally needs to respond to system dynamics within a very small number of cycles of oscillation, and with a definite phase angle relative to the commanded control input. For feedback of sufficient amplification, getting the phase angle wrong can lead to instability for an open-loop stable system, or failure to stabilize a system that is open-loop unstable. Digital filters may be used for both audio systems and feedback control systems, but since the objectives are different, generally the phase characteristics of the filters will be significantly different for the two applications.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of frequency response in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of frequency response in Pythagorean Numerology is: 9
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"frequency response." Definitions.net. STANDS4 LLC, 2025. Web. 24 Jan. 2025. <https://www.definitions.net/definition/frequency+response>.
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