complex down conversion iq
There are two items mixed in the terms!
AnalogIQ vs. DigitalIQ
AnalogIQ is the physical representation of the complex baseband signals as analog voltages or currents. Most chips use a voltage around peak 1V as differential voltage between two pins for the Inphase signal I and for the Cophase signal Q.
DigitalIQ is the digital representation of the complex baseband signal. The complex signal is represented typical by a 2er complement between 10 and 14 bits.
Spectrum Centering
The signal spectrum of the complex baseband signal is typical centered around zero. So if the signal bandwidth is 20MHz each I or Q signal consume only 10MHz. So to you need the I and the Q signal, two times the 10MHz, to get a complete baseband signal.
If the signal is centered around some, so called, IF (intermediate frequency) so that no part of the signal spectrum covers the zero frequency, you can use a single signal instead of a complex signal pair. In effect the positive frequency components are conjugate complex to the negative. The IF must be therefore be higher than 10MHz. If the IF is only a small amount above the system bandwidth it is called LowIF and mostly the baseband processing still use both complex components. If the IF is significant higher than the bandwidth the system is called HighIF and you need only one signal.
In the your definition above you mix simply the two items.
If that helped you please press the button "HELPED"