Frequency spectrum

Frequency spectrum

Familiar concepts associated with a frequency are colors, musical notes, radio/TV channels, and even the regular rotation of the earth.

A source of light can have many colors mixed together and in different amounts (intensities). A rainbow, or prism, sends the different frequencies in different directions, making them individually visible at different angles. A graph of the intensity plotted against the frequency (showing the amount of each color) is the frequency spectrum of the light. When all the visible frequencies are present in equal amounts, the effect is the "color" white, and the spectrum is a flat line. Therefore, flat-line spectrums in general are often referred to as "white", whether they represent light or something else.

Similarly, a source of sound can have many different frequencies mixed together. Each frequency stimulates a different length receptor in our ears. When only one length is predominantly stimulated, we hear a note. A steady hissing sound or a sudden crash stimulates all the receptors, so we say that it contains some amounts of all frequencies in our audible range. Things in our environment that we refer to as "noise" often comprise many different frequencies. Therefore, when the sound spectrum is flat, it is called white noise. This term carries over into other types of spectrums than sound.

Each broadcast radio and TV station transmits a wave on an assigned frequency domein (aka "channel"). A radio antenna adds them all together into a single function of amplitude (voltage) vs. time. The radio tuner picks out one channel at a time (like each of the receptors in our ears). Some channels are stronger than others. If we made a graph of the strength of each channel vs. the frequency of the tuner, it would be the frequency spectrum of the antenna signal.

Spectrum analysis

"Analysis" means decomposing something complex into simpler, more basic parts. As we have seen, there is a physical basis for modeling light, sound, and radio waves as being made up of various amounts of all different frequencies. Any process that quantifies the various amounts vs. frequency can be called spectrum analysis. It can be done on many short segments of time, or less often on longer segments, or just once for a deterministic function (such as egin{matrix} frac{sin (t) }{t} end{matrix},).

The Fourier transform of a function produces a spectrum from which the original function can be reconstructed (aka "synthesized") by an inverse transform, making it reversible. In order to do that, it preserves not only the magnitude of each frequency component, but also its phase. This information can be represented as a 2-dimensional vector or a complex number, or as magnitude and phase (polar coordinates). In graphical representations, often only the magnitude (or squared magnitude) component is shown. This is also referred to as a power spectrum.

Because of reversibility, the Fourier transform is called a "representation" of the function, in terms of frequency instead of time, thus, it is a frequency domain representation. Linear operations that could be performed in the time domain have counterparts that can often be performed more easily in the frequency domain. It is also helpful just for understanding and interpreting the effects of various time-domain operations, both linear and non-linear. For instance, only non-linear operations can create new frequencies in the spectrum.

The Fourier transform of a random (aka "stochastic") waveform (aka noise) is also random. Some kind of averaging is required in order to create a clear picture of the underlying frequency content (aka frequency distribution). Typically, the data is divided into time-segments of a chosen duration, and transforms are performed on each one. Then the magnitude or (usually) squared-magnitude components of the transforms are summed into an average transform. This is a very common operation performed on digitized (aka "sampled") time-data, using the discrete Fourier transform (see Welch method). When the result is flat, as we have said, it is commonly referred to as white noise.

Physical acoustics of music

Sound spectrum is one of the determinants of the timbre or quality of a sound or note. It is the relative strength of pitches called harmonics and partials (collectively overtones) at various frequencies usually above the fundamental frequency, which is the actual note named (eg. an A).

ee also

*Electromagnetic spectrum
*Physics of music
*Frequency estimation

Wikimedia Foundation. 2010.

См. также в других словарях:

  • frequency spectrum — dažnių spektras statusas T sritis automatika atitikmenys: angl. frequency spectrum vok. Frequenzspektrum, n rus. частотный спектр, m pranc. spectre de fréquence, m …   Automatikos terminų žodynas

  • frequency spectrum — dažnių spektras statusas T sritis Standartizacija ir metrologija apibrėžtis Harmoninių virpesių, į kuriuos gali būti išskaidytas sudėtingasis virpesys, dažnių visuma. atitikmenys: angl. frequency spectrum vok. Frequenzspektrum, n rus. частотный… …   Penkiakalbis aiškinamasis metrologijos terminų žodynas

  • frequency spectrum — dažnių spektras statusas T sritis fizika atitikmenys: angl. frequency spectrum vok. Frequenzspektrum, n rus. спектр частот, m; частотный спектр, m pranc. spectre de fréquences, m …   Fizikos terminų žodynas

  • frequency spectrum — A range of frequencies. Similar to bandwidth …   Dictionary of telecommunications

  • frequency spectrum designation — (VLF) very low frequency below 30 KC/s (0.03 MC/s). (LF) low frequency 30 to 300 KC/s (0.03 MC/s). (MF) medium frequency 300 to 3000 KC/s (0.03 to 3 MC/s). (HF) high frequency 3000 to 30,000 KC/s (3 to 30 MC/s). (VHF) very high frequency 30 to… …   IT glossary of terms, acronyms and abbreviations

  • audio frequency spectrum — garsinių dažnių spektras statusas T sritis fizika atitikmenys: angl. audible spectrum; audio frequency spectrum; audio spectrum vok. Hörfrequenzspektrum, n; Tonfrequenzspektrum, n rus. спектр звуковых частот, m; спектр слышимых частот, m pranc.… …   Fizikos terminų žodynas

  • radio frequency spectrum — The range of frequencies within the electromagnetic spectrum above the audio range and below visible light which can be used to transmit voice, video and data, that is, 3kHz to 300GHz. Practical Law Dictionary. Glossary of UK, US and… …   Law dictionary

  • radio-frequency spectrum — radijo dažnių spektras statusas T sritis fizika atitikmenys: angl. radio spectrum; radio frequency spectrum vok. Funkfrequenzspektrum, n; Radiofrequenzspektrum, n rus. спектр радиочастот, m pranc. spectre de radiofréquence, m; spectre radio… …   Fizikos terminų žodynas

  • Doppler frequency spectrum — Doplerio dažnių spektras statusas T sritis radioelektronika atitikmenys: angl. Doppler frequency spectrum vok. Doppler Frequenzspektrum, n rus. спектр доплеровских частот, m pranc. spectre de fréquences Doppler, m …   Radioelektronikos terminų žodynas

  • high frequency spectrum — aukštadažnis spektras statusas T sritis fizika atitikmenys: angl. high frequency spectrum vok. Hochfrequenzspektrum, n rus. высокочастотный спектр, m pranc. spectre à hautes fréquences, m; spectre haute fréquence, m …   Fizikos terminų žodynas

Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»