Editing IQ Complex Tutorial

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Up to now we have been dealing with real signals. The need for complex signals appears in the next step. Simulation requires sampled signal. Sampling is the operation of observing a continuous signal and taking a finite number of samples at a given sampling rate ''f<sub>s</sub>'' (i.e. one sample each 1/''f<sub>s</sub>'' second). Because a simulator can only make calculations on a finite number of samples, it requires a sampled signal. Nyquist Sampling theorem states that the sampling rate must be greater than twice the maximum frequency ''F<sub>Max</sub>'' in order to reconstruct the original signal from the sampled signal.
 
Up to now we have been dealing with real signals. The need for complex signals appears in the next step. Simulation requires sampled signal. Sampling is the operation of observing a continuous signal and taking a finite number of samples at a given sampling rate ''f<sub>s</sub>'' (i.e. one sample each 1/''f<sub>s</sub>'' second). Because a simulator can only make calculations on a finite number of samples, it requires a sampled signal. Nyquist Sampling theorem states that the sampling rate must be greater than twice the maximum frequency ''F<sub>Max</sub>'' in order to reconstruct the original signal from the sampled signal.
  
: <math>f_s > 2F_{Max}</math>
+
: <math>f_s > F_{Max}</math>
  
 
For a HIFI audio signal, the maximum audio frequency <math>F_{Max Audio}</math> is close to 20 kHz, so the sampling rate must be higher than 40 kHz (44.8 kHz is often used in computer sound cards, 8 kHz is used for mobile phones since voice has a lower frequency range than HIFI audio).  
 
For a HIFI audio signal, the maximum audio frequency <math>F_{Max Audio}</math> is close to 20 kHz, so the sampling rate must be higher than 40 kHz (44.8 kHz is often used in computer sound cards, 8 kHz is used for mobile phones since voice has a lower frequency range than HIFI audio).  

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