Howtosignalprocessing
- What is the Fourier transform of a pulse train?
- How do you represent a rectangular pulse?
- What is pulse train signal?
- What is the Fourier Series formula?
What is the Fourier transform of a pulse train?
Therefore, the Fourier transform of the periodic impulse train has an impulse at the frequency of each Fourier series component and the area of the impulse equals the Fourier series coefficient. ⇐⇒ X(f) = XT (f) × S(f).
How do you represent a rectangular pulse?
The rectangular pulse is defined as(2.22)ΠLT(t)=A-LT2≤t≤LT20otherwisewhere A is the amplitude of the pulse and L is an integer.
What is pulse train signal?
A pulse wave or pulse train is a type of non-sinusoidal waveform that includes square waves (duty cycle of 50%) and similarly periodic but asymmetrical waves (duty cycles other than 50%). It is a term used in synthesizer programming, and is a typical waveform available on many synthesizers.
What is the Fourier Series formula?
Fourier Analysis for Periodic Functions
A function is periodic of period L if f(x+L) = f(x) for all x in the domain of f. The smallest positive value of L is called the fundamental period.
