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Date: 25-4-2018
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Date: 12-10-2018
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Date: 28-7-2019
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The square wave, also called a pulse train, or pulse wave, is a periodic waveform consisting of instantaneous transitions between two levels. The square wave is sometimes also called the Rademacher function. The square wave illustrated above has period 2 and levels and 1/2. Other common levels for square waves include
and
(digital signals).
Analytic formulas for the square wave with half-amplitude
, period
, and offset
include
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(1) |
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(2) |
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(3) |
where is the floor function,
is the sign function, and
is the inverse hyperbolic tangent.
The square wave is implemented in the Wolfram Language as SquareWave[x].
Let the square wave have period . The square wave function is odd, so the Fourier series has
and
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(4) |
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(5) |
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(6) |
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(7) |
The Fourier series for the square wave with period , phase offset 0, and half-amplitude 1 is therefore
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(8) |
REFERENCES:
Thompson, A. R.; Moran, J. M.; and Swenson, G. W. Jr. Interferometry and Synthesis in Radio Astronomy. New York: Wiley, p. 203, 1986.
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إدارة الغذاء والدواء الأميركية تقرّ عقارا جديدا للألزهايمر
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شراء وقود الطائرات المستدام.. "الدفع" من جيب المسافر
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ضمن مؤتمر الإمام الحجة(عجل الله فرجه) العلمي باحث كويتي يناقش إثبات ولادة الإمام المهدي (عجّل الله فرجه) من التّوقيعات الشّريفة
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