Master Ganzenko V.A, Dr.Eng., prof. Kotserzhynskyy B.O

National Technical University of Ukraine

"Kyiv Polytechnic Institute", Ukraine

Quadrature modulation as a way to transfer the signal spectrum of integrated synthesizers of direct digital synthesis to higher frequencies

 

Among the integrated synthesizers of direct digital synthesis (ISDDS) that are produced by the leading company Analog Devices, there are so-called quadrature complete synthesizers of direct digital synthesis, such as ISDDS AD9854 (CMOS 300 MSPS Quadrature Complete DDS AD9854). They have the analog outputs of the two DAC (Fig.1). The AD9854 outputs have the following signals: OUT1-unipolar current cosine output of the I component, IOUT1-complementary unipolar current cosine output of the I component, IOUT2 ​​- unipolar current sine output of the Q component, IOUT2 ​​- complementary unipolar current sine output of the Q component.

Fig.1. Analog AD9854 outputs                     Fig.2. Direct quadrature transformation

Fig.3. Single-sideband upward transformation

Switching of the output ISDDS quadrature signals enables to select the required sideband, and suppression of the unnecessary sideband is corrected with amplitudes of ISDDS quadrature signals (Fig.3). While using quadrature modulator AD8346, the signals must be passed through the filters of low frequency.

The proposed transformation was implemented by the company laboratory using adjusted boards of ISDDS and the modulator with some modifications [1].

Testing confirmed the expected results when the signals from ISDDS were adjusted to compensate the phases and amplitudes unbalance (Fig. 4). Phase unbalance occurs in devices between ISDDS and the modulator. It can be adjusted by changing the cable length. Signal amplitudes are regulated by DAC amplifiers. Fig.4 shows the central frequency of 1.05 GHz and the sideband at the distance of 25 MHz. The upper band is suppressed for 40 dB compared to the lower one that corresponds to the phase unbalance of 1 degree. The amplitude of the component of central frequency exceeds the upper side one (suppression of 36 dB). Its level can be reduced by increasing the amplitudes of the input AD8346 signals.

Fig.4. Signal spectrum at the AD8346 output

 

The paper determines that the quadrature modulation is a well-made and economical method for transferring ISDDS spectrum into the VHF and UHF wavebands without loss of the advantages of direct digital synthesis (DDS) and signal quality. Integrated quadrature modulator AD8346 simplifies the process and conforms AD9854. Yet the main fact is that the quadrature modulation doesn’t prevent the usage of various modulation techniques of ISDDS signals.

Quadrature modulation can be achieved not only by specific ISDDS, such as AD9854 and AD9857, but also using a pair of mutually synchronized ISDDS (AD9954 (clock frequency     ), AD9834 ( ), 

AD9910 ( ), AD9911 ( ), AD9912 ( ), AD9915 ( )  [2].

Analysis of different alternatives in realization of quadrature modulation

Let the two   (oscillator) and   signals go to the input of a nonlinear element with quadratic volt-ampere characteristic                                  ,

then

 

Let the two  and  signals go to the input of a nonlinear element with quadratic volt-ampere characteristic,

then

 

If the signals are put together in quadrature modulator

then the component with the frequency sum  (upper sideband), slightly weakened component with the  frequency (carrier), disappears.

If the   and    signals are taken into account, then

 

If the  òà  signals are put together in quadrature modulator, then the component with the frequency difference (lower sideband), slightly weakened component with the  frequency (carrier), disappears, and the upper sideband remains

                 

 

Now let the input modulator mixer receive such pairs of signals:

 and  ,    and .

For the first pair

 

For the second pair

 

Only the second harmonic of frequency disappears at the quadrature modulator output, the two  and  side bands remains.

Now let the input modulator mixer receive such pairs of signals:

 and  ,    and .

 

For the second pair

 

 

The sidebands and the second harmonic of the ω1 frequency disappear at the quadrature modulator output (signals ³6 and ³8)

 

.

 

                                                   Summary   

The required output signal of the modulator can be achieved by choosing the right combinations of phases of input harmonic signals. Modulation of complex frequency-modulated oscillations requires further analysis.

 

Bibliography

1.Cushing R. Single-Sideband Upconversion of Quadrature DDS to the 800-to-2500-MHz Band/ Analog Dialogue 34-3(2000).

2. Brandon D. Synchronizing Multiple AD9850/AD9851 DDS-Based Synthesizers/AN-587, Analog Devices, www.analog.com.