Imaginary (imaginary_xs_s)

Returns the imaginary part of complex numbers.

Design

The mathematical representation of the implementation is given in (90).

(90)\[y[n] = \operatorname{Im}(x[n])\]

In (90):

• \(x[n]\) is the input values.

• \(y[n]\) is the output values.

A block diagram representation of the implementation is given in Figure 138:.

Figure 138: Imaginary implementation.

Interface

<?xml version="1.0"?>
<componentspec>
  <port name="input" producer="false" protocol="complex_short_timed_sample-prot"/>
  <port name="output" producer="true" protocol="short_timed_sample-prot"/>
</componentspec>

Ports

Inputs:

• input: Primary input samples port.

  • Protocol: complex_short_timed_sample-prot

  • Optional: False

Outputs:

• output: Primary output samples port.

  • Protocol: short_timed_sample-prot

  • Optional: False

Opcode Handling

The imaginary value is only found for values in a sample opcode message. All other opcodes messages received are passed through this component without any effect.

Properties

None.

Implementations

• imaginary_xs_s (HDL)

• imaginary_xs_s (RCC)

Example Application

<?xml version="1.0"?>
<application done="file_write">
  <instance component="ocpi.core.file_read" connect="imaginary_xs_s">
    <property name="filename" value="input.bin"/>
  </instance>
  <instance component="ocpi.comp.sdr.math.imaginary_xs_s" connect="file_write"/>
  <instance component="ocpi.core.file_write">
    <property name="filename" value="output.bin"/>
  </instance>
</application>

Dependencies

The dependencies to other elements in OpenCPI are:

• Protocol interface delay (wide to narrow) primitive v2

There is also a dependency on:

• ieee.std_logic_1164

• ieee.numeric_std

Limitations

Limitations of imaginary_xs_s are:

• None.

Testing

Tested platforms: None

Component testing not completed.