Polyphase Modulation With Aliasing for Data Up-Conversion
In digital up-conversion, baseband signals are interpolated to intermediate frequency (IF), then digitally modulated by IF sinusoidal carriers. According to the Nyquist theory, the IF carrier frequency is limited to half of the IF circuits sampling frequency. This design example demonstrates how to achieve digital up-conversion with IF carrier frequency that is higher than the Nyquist frequency. The key is to exploit the periodicity of sinusoidal signals and the high sampling frequency of the low voltage differential signal (LVDS) serializer that is embedded on Altera® FPGAs. Modulating IF signals to higher carrier frequencies takes full advantage of the high sampling rate of modern digital-to-analog converters (DAC) and eases the requirement for analog voltage-controlled-oscillators (VCO) and mixers.
Design Description
Figure 1 shows the block diagram of the polyphase digital up-conversion system. The shaded box contains modules used in this design example. By default, the polyphase filters operate at 100 MHz. With four polyphase components, the output of the LVDS transmitter has a data rate of 400 MHz. In a conventional up-conversion modem, the IF carrier frequency is limited to no more than 50 MHz by the clock frequency of the numerically controlled oscillator (NCO). By exploiting aliasing, however, the output carrier frequency in this design example is centered at 160 MHz.
Figure 1. Block Diagram of a Polyphase Up-Conversion System
In Figure 1, inphase and quadrature signals are denoted as I and Q, respectively. Baseband I and Q signals are usually interpolated to a higher data rate using either FIR filter cascade or FIR and CIC filter cascade. The overall upsampling ratio depends on applications and is denoted as a variable 2x in Figure 1. Altera's WiMAX and WCDMA DUC reference designs provide an example of IF modem digital up-conversion. With minor modifications to clock frequency, the inphase and quadrature signals in Figure 1 can come directly from the CIC filter output in the W-CDMA Picocell DUC reference design.
The polyphase sub-filters are constructed from a low pass filter with a sharp transition band. The coefficients are chosen so that aliased spectrum images can be effectively filtered out by the polyphase FIR filter. Unlike the low pass filter in a conventional up-conversion design, this polyphase filter usually cannot afford to have a wide transition bandwidth.
This example includes a DSP Builder datapath design file and a top-level integration file in VHDL. A testbench and a ModelSim® simulation script are also provided.
Download the Quartus® II software DSP Builder project used in this example:
The use of this design is governed by, and subject to, the terms and conditions of the Altera Hardware Reference Design License Agreement.
Parameters
Table 1 summarizes the parameters used in this design example.
| Table 1. Parameters for the Polyphase Modem Design Example |
| System Parameters |
Values |
| Normalized NCO Output Frequency |
2/5 |
| Real World NCO Output Frequency at 100-MHz Clock |
40 MHz |
| Carrier Output Frequency Normalized Over LVDS Output Data Rate |
2/5 |
| Real World Carrier Output Frequency at 100-MHz Clock |
160 MHz |
| Polyphase Filter Input Bit Width |
16 |
| Polyphase Filter Coefficients Bit Width |
18 |
| Overall FIR Filter Order |
100 |
| NCO Accumulator Precision |
32 |
| NCO Angular Precision |
18 |
| DAC Bit Width |
14 |
| LVDS Output Frequency at 100-MHz Input Clock |
400 MHz |
| LVDS Transmitter Number of Channels |
14 |
| LVDS Serialization Factor |
4 |
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