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Scilab tutoriel1/2/2023 ![]() I hope that this article has provided a good introduction, and we’ll continue the discussion in the next article. ![]() This is a great reason to use Scilab (or MATLAB, or Octave) for frequency-domain analysis of FM systems. I haven’t extensively studied frequency modulation from the perspective of theoretical analysis, but as far as I can tell it is quite difficult to predict the characteristics of an FM spectrum based on mathematical relationships between the baseband and the carrier. If we return the modulation index to 4 and then reduce the baseband frequency by a factor of 2, the spectrum changes to this: Various factors affect the characteristics of FM spectra for example, if we lower the modulation index to 2, we get the following: It’s important to understand, however, that the specific features shown above are not present in all cases of frequency modulation. Second, the modulated bandwidth (about ☗0 kHz relative to the carrier frequency) is much larger than the bandwidth of the baseband signal (i.e., ☑0 kHz). There are two characteristics here that I want to mention: First, the sideband amplitude can be higher than the amplitude of the component at the carrier frequency. Plot(DFTHorizAxis, FM_DFT_magnitude(1:HalfBufferLength)) HorizAxisIncrement = (SamplingFrequency/2)/HalfBufferLength ĭFTHorizAxis = 0:HorizAxisIncrement:((SamplingFrequency/2)-HorizAxisIncrement) The following commands will produce a frequency-domain representation of the FM signal. We can add the baseband and the integrated baseband into the plot, just in case you want to ponder the relationship between these two signals and the FM waveform. SCILAB TUTORIEL FOR FREEA programming language not based on functional or object, but numerically oriented that is offered for free and works in cross-platform along with additional packages for working in higher-level is called. ModulatedSignal_FM = sin((2*%pi*n / (SamplingFrequency/CarrierFrequency)) + (4*BasebandSignal_integral)) Home » Data Science » Data Science Tutorials » Head to Head Differences Tutorial » SciLab vs Octave. If we incorporate a modulation index of 4 into the command used to generate the FM data, the effect of the modulation is much more apparent: The mathematical relationship that forms the basis of frequency modulation is more complicated: The frequency-domain effects of amplitude modulation are fairly straightforward: the fundamental mathematical operation in an AM system is multiplication, and multiplication causes a spectrum to shift such that it is centered on a new frequency. SCILAB TUTORIEL HOW TO
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