Howtosignalprocessing
- What is line spectrum in Fourier series?
- What is the possible range of frequency spectrum for discrete time Fourier series *?
- What does the Fourier series analysis tells us about digital signal?
- What do you mean by line spectrum in math?
What is line spectrum in Fourier series?
The line spectrum displays the Fourier series coefficients at their corresponding frequencies, while the spectrum from the Fourier transform displays the concentration of the power at the harmonic frequencies by means of delta functions with amplitudes of 2π times the Fourier series coefficients.
What is the possible range of frequency spectrum for discrete time Fourier series *?
Ω=2πf is the angular frequency continuous-time Fourier Transform of x(t). Hence the range of |ω| should lie between 0 through π. Given that the spectrum of a discrete time signal repeats every 2π radians, we should see this spectrum replicated from 0 to π, 2π to 3π, 4π to 5π and so on.
What does the Fourier series analysis tells us about digital signal?
the physics relevance of fourier transform is that it tells the relative amplitude of frequencies present in the signal . it can be defined for both discrete time and continuous time signal. Any signal can be represented as mixture of many harmonic frequencies.
What do you mean by line spectrum in math?
A plot showing each of the harmonic amplitudes in the wave is called the line spectrum. Note: Waves with discontinuities such as the saw tooth and square wave have spectra with slowly decreasing amplitudes since their series have strong high harmonics.
