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.
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Frequency response characterizes systems in the frequency domain, just as the impulse response characterizes systems in the time domain.
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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.
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The frequency response is closely related to the transfer function in linear systems, which is the Laplace transform of the impulse response.
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Measuring the frequency response typically involves exciting the system with an input signal and measuring the resulting output signal, calculating the frequency spectra of the two signals, and comparing the spectra to isolate the effect of the system.
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In digital systems, the frequency response often contains a main lobe with multiple periodic sidelobes, due to spectral leakage caused by digital processes such as sampling and windowing.
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Radio spectrum frequency response can refer to measurements of coaxial cable, twisted-pair cable, video switching equipment, wireless communications devices, and antenna systems.
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Infrasonic frequency response measurements include earthquakes and electroencephalography.
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Frequency response curves are often used to indicate the accuracy of electronic components or systems.
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Form of a frequency response curve is very important for anti-jamming protection of radars, communications and other systems.
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