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2. FC202 QUADRATURE CONVERSION
In order to interface to the FC108-D module for Polyphase filtering, a conversion from real to
quadrature representation is necessary. FC202 firmware module converts real signals to
analytic signals of In-phase and Quadrature (I & Q) components.
The method used is a linear phase conversion technique, based upon the (Parallel) Distributed
Arithmetic FIR Filter LogicCORE
2
. The basic approach is to approximate the Hilbert
Transform using an FIR filter
3
. Typically, when such methods are used, a decimate-by-2
operation can be performed without loss of spectral information. Thus, the data rate of the
outputs matches the data rate of the inputs.
The frequency performance of the FC202 is as follows:
Sample Rate 102.4MHz
IF Center 21.4MHz
IF Bandwidth 22.5MHz
IF Span 10.15MHz –
33.65MHz
Passband (Gain=1) 5.12MHz – 46.08MHz
Table 1 - FC202 Frequency Response Characteristics
Hilbert Transform Magnitude and Phase response based on the above parameters is given in
figure 2 while figure 3 shows the XY plot of the Hilbert transform.
The FC202 component represents a pure-FPGA ‘task’, and implements the following interface:
Port Name Valid
Width
Direction Implementation Description
ADC_IN 16 Input FPGA Raw time domain data
DECIMATE_IN 1 Constant FPGA Enable decimation-by-two
I_OUT 16 Output FPGA In-Phase component, time
domain data
Q_OUT 16 Output FPGA Quadrature component, time
domain data
Table 2 - FC202 Interfaces
2
See: http://www.xilinx.com/ipcenter/catalog/logicore/docs/da_fir.pdf
3
Remez Exchange or Parks-McClellan Optimal Method
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