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Applies a digital frequency shift to the I/Q data. A numerically-controlled oscillator (NCO) creates a cosine/sine pair, which is then multiplied by the I/Q data using a complex multiplier. The net effect is to shift the complex spectrum to the left or right in the frequency domain. This node must be used inside a Clock-Driven Loop. This node provides the following functionality: data out.I <= data in.I * cosine - data in.Q * sine data out.Q <= data in.I * sine + data in.Q * cosine Where "*" represents scalar multiplication. The 'frequency shift' input may be in the range of [-0.5 to +0.5), where negative values shift the complex spectrum to the left and positive values shift the complex spectrum to the right. The amount of frequency shift (in Hz) is determined by multiplying the data rate (in Hz) by the 'frequency shift' input. Frequency Shift (in Hz) = 'frequency shift' * data rate (in Hz) The data rate is defined by the clock frequency of the Clock-Driven Loop (CDL), the number of samples in 'data in' and 'data out', and the fraction of cycles on which 'input valid' is asserted. data rate = CDL clock frequency * samples per cycle (SPC) * fraction of cycles on which 'input valid' assertion For example if the Clock-Driven Loop is clocked at 120 MHz, the node instance selected is 1 sample per cycle (SPC) and the 'input valid' signal is asserted on every other cycle, then the data rate is 60 MHz. The 'phase' input may be in the range of [-0.5 to +0.5), which corresponds to phase shifting the sine and cosine signals -180 degrees to +180 degrees.

**Samples Per Cycle (SPC)** Use the Function Gallery to change the number of parallel samples used on the 'data in' and 'data out' terminals. For multiple samples per cycle, 'data in' and 'data out' become fixed size arrays of SPC elements. The first element, data[0], is the oldest sample in the array.

**Overflows** Overflows on 'data in.overflow' are pipelined along with the data path, combined with overflows that occur inside of this node, and output on 'data out.overflow'.

**Reset** Toggling the 'reset' input high resets the registers in the 'output valid' path, allowing for deterministic startup behavior. The registers in the 'data out' path are not reset, however 'output valid' is held low while 'reset' is asserted and does not assert after reset until the registers in the 'data out' path have been flushed. While reset is asserted, 'ready for input' is held low and 'input valid' is ignored.

**Pipeline Delay** 13 clock cycles

**Performance** Frequency Range: [-0.5 to +0.5) * data rate Frequency Resolution: 3.56e-15 * data rate Phase Range: [-0.5 to +0.5) (corresponds to -180 to +180 degrees) Phase Resolution: 4.77e-7 (corresponds to 0.00017 degrees) Spurious Free Dynamic Range: > 105 dBFS

**Approximate resource usage in a Xilinx Virtex-5 or Virtex-6** Slice flip-flops: 3175 Slice LUTs: 4600 Block RAMs (18kb): 8 DSP48E(1)s: 48

**Approximate maximum clock rate in a Xilinx Virtex-5 or Virtex-6 (-1)** 160 MHz