- How do you find the period of a Fourier series?
- What's the fundamental period?
- What is fundamental harmonic in Fourier series?
How do you find the period of a Fourier series?
A function f is periodic of period T if f(x+T) = f(x) for all x in the domain of f. The smallest positive value of T is called the fundamental period. For example, both sin x and cos x have fundamental period 2π, whereas tan x has fundamental period π. A constant function is periodic with arbitrary period T.
What's the fundamental period?
Fundamental period of a function
A periodic function is one in which there exists a positive real number P such that f (x + p) = f (x), for all x being real numbers. The fundamental period of a function is the least value of the positive real number P or the period during which a function repeats itself.
What is fundamental harmonic in Fourier series?
The analysis of harmonics is the process of calculating the magnitudes and phases of the fundamental and high order harmonics of the periodic waveforms. The resulting series is known as Fourier series. It establishes a relation between a function in the domain of time and a function in the domain of frequency.