December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and SystemsBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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2
Fourier Series
Sinusoidal quantities can be generated very easily. Sometimes the excitations are non-sinusoidal in nature and it may be periodic or non-periodic i.e., aperiodic. If f(t) = f(t + T), the function f(t) is called periodic having time period T. In 1822, the French mathematician J. B. J. Fourier had first studied the periodic function and published his famous theorem. It states that any periodic signal can be resolved into sinusoidal components. Fourier series is the resulting summation of a harmonic sinusoid. The signal may be in time domain or in frequency domain. Fourier series can be represented either in the form of infinite trigonometric series or in the form of infinite exponential series. There are DC terms as well as AC ...
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