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- Sawtooth_wave abstract "The sawtooth wave (or saw wave) is a kind of non-sinusoidal waveform. It is so named based on its resemblance to the teeth of a saw.The convention is that a sawtooth wave ramps upward and then sharply drops. However, in a "reverse (or inverse) sawtooth wave", the wave ramps downward and then sharply rises. It can also be considered the extreme case of an asymmetric triangle wave.The piecewise linear functionbased on the floor function of time t is an example of a sawtooth wave with period 1.A more general form, in the range −1 to 1, and with period a, is This sawtooth function has the same phase as the sine function.Another function in trigonometric terms with period p and amplitude a:A sawtooth wave's sound is harsh and clear and its spectrum contains both even and odd harmonics of the fundamental frequency. Because it contains all the integer harmonics, it is one of the best waveforms to use for subtractive synthesis of musical sounds, particularly bowed string instruments like violins and cellos, since the slip-stick behavior of the bow drives the strings with a sawtooth-like motion.A sawtooth can be constructed using additive synthesis. The infinite Fourier series converges to an inverse sawtooth wave. A conventional sawtooth can be constructed using Where A is amplitude.In digital synthesis, these series are only summed over k such that the highest harmonic, Nmax, is less than the Nyquist frequency (half the sampling frequency). This summation can generally be more efficiently calculated with a fast Fourier transform. If the waveform is digitally created directly in the time domain using a non-bandlimited form, such as y = x - floor(x), infinite harmonics are sampled and the resulting tone contains aliasing distortion.An audio demonstration of a sawtooth played at 440 Hz (A4) and 880 Hz (A5) and 1760 Hz (A6) is available below. Both bandlimited (non-aliased) and aliased tones are presented.".
- Sawtooth_wave thumbnail Sawtooth-td_and_fd.png?width=300.
- Sawtooth_wave wikiPageID "52147".
- Sawtooth_wave wikiPageRevisionID "604981667".
- Sawtooth_wave description "Sawtooth waves played bandlimited and aliased at 440 Hz, 880 Hz, and 1760 Hz".
- Sawtooth_wave filename "Sawtooth-aliasingdemo.ogg".
- Sawtooth_wave format Ogg.
- Sawtooth_wave hasPhotoCollection Sawtooth_wave.
- Sawtooth_wave title "Sawtooth aliasing demo".
- Sawtooth_wave subject Category:Fourier_series.
- Sawtooth_wave subject Category:Waveforms.
- Sawtooth_wave type Abstraction100002137.
- Sawtooth_wave type Event100029378.
- Sawtooth_wave type Happening107283608.
- Sawtooth_wave type Movement107309781.
- Sawtooth_wave type PsychologicalFeature100023100.
- Sawtooth_wave type Wave107352190.
- Sawtooth_wave type Waves.
- Sawtooth_wave type YagoPermanentlyLocatedEntity.
- Sawtooth_wave comment "The sawtooth wave (or saw wave) is a kind of non-sinusoidal waveform. It is so named based on its resemblance to the teeth of a saw.The convention is that a sawtooth wave ramps upward and then sharply drops. However, in a "reverse (or inverse) sawtooth wave", the wave ramps downward and then sharply rises.".
- Sawtooth_wave label "Kippschwingung".
- Sawtooth_wave label "Onda a dente di sega".
- Sawtooth_wave label "Onda de sierra".
- Sawtooth_wave label "Onda dente de serra".
- Sawtooth_wave label "Sawtooth wave".
- Sawtooth_wave label "Signal en dents de scie".
- Sawtooth_wave label "のこぎり波".
- Sawtooth_wave label "锯齿波".
- Sawtooth_wave sameAs Kippschwingung.
- Sawtooth_wave sameAs Onda_de_sierra.
- Sawtooth_wave sameAs Signal_en_dents_de_scie.
- Sawtooth_wave sameAs Onda_a_dente_di_sega.
- Sawtooth_wave sameAs のこぎり波.
- Sawtooth_wave sameAs 톱니파.
- Sawtooth_wave sameAs Onda_dente_de_serra.
- Sawtooth_wave sameAs m.0dqg6.
- Sawtooth_wave sameAs Q1742397.
- Sawtooth_wave sameAs Q1742397.
- Sawtooth_wave sameAs Sawtooth_wave.
- Sawtooth_wave wasDerivedFrom Sawtooth_wave?oldid=604981667.
- Sawtooth_wave depiction Sawtooth-td_and_fd.png.
- Sawtooth_wave isPrimaryTopicOf Sawtooth_wave.
