Howtosignalprocessing
- What is complex sinusoidal signal?
- How are complex numbers related to sinusoidal signals?
- How do you create a sinusoidal signal in Matlab?
What is complex sinusoidal signal?
1) The real part of a complex sinusoid is a cosine wave and the imag- inary part is a sine wave. 2) A complex sinusoid x(t) = Ae. jΩt+φ can be visualized in the complex. plane as a vector of length A that is rotating at a rate of Ω radians per second and has angle φ relative to the real axis at time t = 0.
How are complex numbers related to sinusoidal signals?
Complex numbers are important in signal processing because we often want, or find it useful, to break a signal down into a bunch of component sinusoids at different frequencies (more on this later, when we get to the DFT and FFT). Each component sinusoid has a magnitude and a phase (see above description of sinusoids).
How do you create a sinusoidal signal in Matlab?
sine = dsp. SineWave creates a sine wave object that generates a real-valued sinusoid with an amplitude of 1, a frequency of 100 Hz, and a phase offset of 0. By default, the sine wave object generates only one sample. sine = dsp.
