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The Fourier series is important because it allows one to model periodic signals as a sum of distinct harmonic components. In other words, representing signals in this way allows one to see the harmonics in a signal distinctly, which makes it easy to see what frequencies the signal contains in order to filter/manipulate particular frequency components.
Wiki User
∙ 14y ago
Wiki User
∙ 12y agoFourier series is series which help us to solve certain physical equations effectively
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How can a composite signal be decomposed?
Spectral analysis of a repetitive waveform into a harmonic series can be done by Fourier analyis. This idea is generalised in the Fourier transform which converts any function of time expressed as a into a transform function of frequency. The time function is generally real while the transform function, also known as a the spectrum, is generally complex. A function and its Fourier transform are known as a Fourier transform pair, and the original function is the inverse transform of the spectrum.
What is the physical significance of super position theorem?
It is very important in circuit analysis.
If the voltage applied across a capacitance is triangular in waveform then the waveform of the current?
Depend the value of capacitor. Capacitance in series act like a high pass filter, while in parallel act like low pass filter. By fourier series, triangular wave is combine of series of the sine or cosine waves. Therefore by certain capacitance, sine wave can preduce by applied a triangular signal through a capacitor. Current is just 90 degree shift from voltage, shape is same.
How is fourier analysis used in digital communication?
The Fourier transform allows you to convert between time domain and frequency domain and back. Certain manipulations, such as filters, are easier to implement in the frequency domain, particularly when the representation is digital. You can also compress and shift the bandpass of a signal for easier transmission, and then convert it back at the receiving end.
What is the significance of negative values of voltage and current?
What is the significance of negative values of voltage and current?Negative values show direction and that is the significance
What is physical significance of Fourier series?
Fourier series is series which help us to solve certain physical equations effectively
What are Joseph Fourier's works?
Fourier series and the Fourier transform
What are the limitation of fourier series?
what are the limitations of forier series over fourier transform
Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
How do you find the inverse Fourier transform from Fourier series coefficients?
no
Can a discontinuous function can be developed in the Fourier series?
Yes. For example: A square wave has a Fourier series.
What is the difference between fourier series and discrete fourier transform?
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.
Fourier series of sine wave?
The fourier series of a sine wave is 100% fundamental, 0% any harmonics.
Why was Joseph Fourier famous?
Joseph Fourier was the French mathematician and physicist after whom Fourier Series, Fourier's Law, and the Fourier Transform were named. He is commonly credited with discovering the greenhouse effect.
Can a discontinuous function be developed in a Fourier series?
Yes, a Fourier series can be used to approximate a function with some discontinuities. This can be proved easily.
Can every function be expanded in fouriers series?
no every function cannot be expressed in fourier series... fourier series can b usd only for periodic functions.
What is harmonic as applied to fourier series?
When we do a Fourier transformation of a function we get the primary term which is the fundamental frequency and amplitude of the Fourier series. All the other terms, with higher frequencies and lower amplitudes, are the harmonics.
