OQPSK Modulator Baseband

Modulation using OQPSK method

Library:
Communications Toolbox / Modulation / Digital Baseband Modulation / PM

Description

The OQPSK Modulator Baseband block modulates the input signal using the offset quadrature phase shift keying (OQPSK) method and applies pulse shape filtering to the waveform. For more information, see Pulse Shaping Filter. The output is a baseband representation of the modulated signal.

For information about delays incurred by modulator-demodulator pair processing, see Modulation Delays.

Ports

Input

expand all

`In` — Input data
integer column vector | bit column vector

Input data, specified as an integer or bit column vector.

The input signal is processed based on the setting selected for Input type.

Data Types: double

Output

expand all

`Out` — Output baseband waveform
column vector

Output baseband waveform, returned as a column vector of complex data.

Parameters

expand all

Modulation

`Input type` — Input type
`Integer` (default) | `Bit`

Input type, specified as Integer or Bit.

When you set Input type to Integer, the input can be a scalar value or column vector, the length of which is the number of input symbols.
When you set Input type to Bit, the input width must be an integer multiple of two.

The output sample period is the period of each integer or bit pair in the input divided by Samples per symbol.

`Phase offset (rad)` — Phase of zeroth point of signal constellation
`0` (default) | scalar

Phase offset from π/4, specified as a scalar in radians. The phase offset is applied to the zeroth point of the signal constellation before delay of quadrature component. After the OQPSK imaginary-component delay, the signal is normalized with unity power.

Example: Setting Phase offset (rad) to pi/4 aligns the zeroth point of the QPSK signal constellation point on the axes, {(1,0), (0,j), (-1,0), (0,-j)}.

`Symbol mapping` — Signal constellation bit mapping
`Gray` (default) | `Binary` | custom 4-element numeric vector of integers with values from 0 to 3

Signal constellation bit mapping, specified as Gray, Binary, or a custom 4-element numeric vector of integers with values from 0 to 3.

Setting	Constellation Mapping for Integers	Constellation Mapping for Bits	Comment
`Gray`			The signal constellation mapping is Gray-encoded.
`Binary`			The signal constellation mapping for the input integer `m` (0 ≤ `m` ≤ 3) is the complex value `e^{(j(PhaseOffset+π/4) + j2πm/4)}`.
Custom 4-element numeric vector of integers with values from 0 to 3			Elements [a b c d] must be composed of the set of values [0, 1, 2, 3] in any order.

Filtering

`Pulse shape` — Filtering pulse shape
`Half sine` (default) | `Normal raised cosine` | `Root raised cosine` | `Custom`

Select the filtering pulse shape: Half sine, Normal raised cosine, Root raised cosine, or Custom.

`Rolloff factor` — Raised cosine filter rolloff factor
`0.2` (default) | scalar

Raised cosine filter rolloff factor, specified as a scalar in the range [0, 1].

Dependencies

This property is enabled when Pulse shape is Normal raised cosine or Root raised cosine.

Data Types: double

`Filter span (in symbols)` — Filter length
`10` (default) | scalar

Filter length in symbols, specified as a scalar. An ideal raised cosine filter has an infinite impulse response. However, to realize a practical implementation of this filter, the object truncates the impulse response to Filter span (in symbols) symbols.

Dependencies

This property is enabled when Pulse shape is Normal raised cosine or Root raised cosine.

Data Types: double

`Filter numerator` — Filter numerator
`[0.7071 0.7071]` (default) | row vector

Filter numerator, specified as a row vector.

Dependencies

This parameter is enabled when Pulse shape is Custom.

Data Types: double

`Samples per symbol` — Number of samples per symbol
`4` (default) | positive even integer

Number of samples per symbol, specified as a positive even integer.

Data Types: double

Other Parameters

`Rate options` — Processing rate option
`Enforce single-rate processing` (default) | `Allow multirate processing`

Enforce single-rate processing — Executes the model, ensuring that the input and output signals have the same port sample time. The block implements the rate change by making a size change at the output when compared to the input. For integer inputs, the output width equals Samples per symbol times the number of symbols.
For more information, see Single-Rate Processing with OQPSK Modulator Block.
Allow multirate processing — Executes the model, allowing the input and output signals to have different port sample times. The output sample time equals the symbol period divided by Samples per symbol.

For more information, see Single-Rate Processing with OQPSK Modulator Block.

`Output data type` — Output data type
`double` (default) | `single`

Select the output data type: double or single.

Model Examples

OQPSK Modulator-Demodulator Block Pair Use

The OQPSK Modulator Baseband and OQPSK Demodulator Baseband blocks connected with no channel or impairments distorting the signal between them. They are configured for frame-based processing with bit signal inputs.

Single-Rate Processing with OQPSK Modulator Block

The OQPSK Modulator Baseband block configured for single-rate processing using integer or bit for the input type.

Multirate Processing with OQPSK Modulator Block

The OQPSK Modulator Baseband block configured for multirate processing using integer or bit for the input type.

Block Characteristics

Data Types	`Boolean` \| `double` \| `integer` \| `single`
Multidimensional Signals	`no`
Variable-Size Signals	`no`

More About

expand all

Modulation Delays

Digital modulation and demodulation blocks incur delays between their inputs and outputs that result in an offset in the arrival time of the received data. Data that enters a modulation or demodulation block at time T appears in the output at time T+delay. Take system delays into account when comparing transmitted data with received data, such as in overlaid plots or when computing error statistics. As shown here, the OQPSK modulation-demodulation delay varies depending on the pulse shaping filter, input/output data setting, and simulation configuration.

Pulse Shape	Rate Options	Treat Each Discrete Rate as a Separate Task?	Input/Output Data (*)	End-to-End Delay Incurred by an OQPSK Modulator-Demodulator Block Pair (in samples)
`Half sine` or `Custom`	`Enforce single-rate operation`	N/A	`Integer`	1
	`Enforce single-rate operation`	N/A	`Bit`	2
	`Allow multirate processing`	`false` (single tasking)	`Integer`	length(data) + 1 + 1
		`false` (single tasking)	`Bit`	length(data) + 2 + 2
		`true` (multitasking)	`Integer`	length(data) + 1 + 2
		`true` (multitasking)	`Bit`	length(data) + 2 + 4
`Normal raised cosine` or `Root raised cosine`	`Enforce single-rate operation`	N/A	`Integer`	Filter span (in symbols)
	`Enforce single-rate operation`	N/A	`Bit`	2*Filter span (in symbols)
	`Allow multirate processing`	`false` (single tasking)	`Integer`	length(data) + Filter span (in symbols) + 1
		`false` (single tasking)	`Bit`	length(data) + 2*Filter span (in symbols) + 2
		`true` (multitasking)	`Integer`	2length(data) + Filter span (in symbols)* + 2
		`true` (multitasking)	`Bit`	2length(data) + 2Filter span (in symbols) + 4
() The data type parameter is Input type* for modulation and Output type for demodulation.

Pulse Shaping Filter

The OQPSK modulation scheme requires oversampling of two or greater in order to delay (or offset) the quadrature channel by 90 degrees. This oversampling is achieved through interpolation filtering implemented by pulse shaping.

Documentation

OQPSK Modulator Baseband

Description

Ports

Input

In — Input data integer column vector | bit column vector

Output

Out — Output baseband waveform column vector

Parameters

Modulation

Input type — Input type Integer (default) | Bit

Phase offset (rad) — Phase of zeroth point of signal constellation 0 (default) | scalar

Symbol mapping — Signal constellation bit mapping Gray (default) | Binary | custom 4-element numeric vector of integers with values from 0 to 3

Filtering

Pulse shape — Filtering pulse shape Half sine (default) | Normal raised cosine | Root raised cosine | Custom

Rolloff factor — Raised cosine filter rolloff factor 0.2 (default) | scalar

Dependencies

Filter span (in symbols) — Filter length 10 (default) | scalar

Dependencies

Filter numerator — Filter numerator [0.7071 0.7071] (default) | row vector

Dependencies

Samples per symbol — Number of samples per symbol 4 (default) | positive even integer

Other Parameters

Rate options — Processing rate option Enforce single-rate processing (default) | Allow multirate processing

Output data type — Output data type double (default) | single

Model Examples

OQPSK Modulator-Demodulator Block Pair Use

Single-Rate Processing with OQPSK Modulator Block

Multirate Processing with OQPSK Modulator Block

Block Characteristics

More About

Modulation Delays

Pulse Shaping Filter

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using Simulink® Coder™.

See Also

Blocks

Objects

Topics

Communications Toolbox Documentation

Support

`In` — Input data
integer column vector | bit column vector

`Out` — Output baseband waveform
column vector

`Input type` — Input type
`Integer` (default) | `Bit`

`Phase offset (rad)` — Phase of zeroth point of signal constellation
`0` (default) | scalar

`Symbol mapping` — Signal constellation bit mapping
`Gray` (default) | `Binary` | custom 4-element numeric vector of integers with values from 0 to 3

`Pulse shape` — Filtering pulse shape
`Half sine` (default) | `Normal raised cosine` | `Root raised cosine` | `Custom`

`Rolloff factor` — Raised cosine filter rolloff factor
`0.2` (default) | scalar

`Filter span (in symbols)` — Filter length
`10` (default) | scalar

`Filter numerator` — Filter numerator
`[0.7071 0.7071]` (default) | row vector

`Samples per symbol` — Number of samples per symbol
`4` (default) | positive even integer

`Rate options` — Processing rate option
`Enforce single-rate processing` (default) | `Allow multirate processing`

`Output data type` — Output data type
`double` (default) | `single`

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.