Howtosignalprocessing
- How do you draw a frequency spectrum of a signal?
- How do you draw the phase spectrum of a Fourier series?
- How do you find the magnitude and phase of a signal?
How do you draw a frequency spectrum of a signal?
Frequency spectrum of a signal is the range of frequencies contained by a signal. For example, a square wave is shown in Fig. 3.5A. It can be represented by a series of sine waves, S(t) = 4A/π sin(2πft) + 4A/3π sin(2π(3f)t) + 4A/5π sin(2π(5f)t + …)
How do you draw the phase spectrum of a Fourier series?
The exponential Fourier series representation of a periodic function x(t) has amplitude coefficients Cn which are complex and can be represented by magnitude and phase. Hence, we can plot the amplitude spectrum (|Cn| versus ω) and the phase spectrum (∠Cnversusω).
How do you find the magnitude and phase of a signal?
To obtain the amplitude response, we take the absolute value of H(jω). To do this, we evaluate the magnitude of the numerator and the denominator separately. To obtain the phase response, we take the arctan of the numerator, and subtract from it the arctan of the denominator.
