widely linear

USAGE SUMMARY

The phrase "widely linear" is not a standard expression in written English and may cause confusion.
It could be used in contexts discussing mathematical or statistical concepts, but clarity is essential to ensure the intended meaning is conveyed. Example: "The model's performance was evaluated under widely linear assumptions, which allowed for a broader interpretation of the data."

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

widely linear.

EURASIP Journal on Wireless Communications and Networking

Quaternion widely linear.

EURASIP Journal on Advances in Signal Processing

Widely linear Markov.

EURASIP Journal on Advances in Signal Processing

BER, bit error rate; WLMMSE, widely linear minimum mean square error; Lr-RWLMMSE, low-rank real-valued widely linear minimum mean square error.

EURASIP Journal on Wireless Communications and Networking

We propose two widely linear minimum dispersion based beamforming for sub-Gaussian noncircular signals: widely linear minimum dispersion distortionless response (WL-MDDR) and widely linear quadratically constrained minimum dispersion (WL-QCMD).

Signal Processing

In [6], the impact of widely linear filtering on the EE of wireless networks is investigated.

EURASIP Journal on Wireless Communications and Networking

Therefore, the widely linear LS estimator incurs an overhead and requires synchronization between the two transceivers.

EURASIP Journal on Wireless Communications and Networking

We also compare the proposed method with the widely linear LS estimator in [26].

EURASIP Journal on Wireless Communications and Networking

The use of the augmented received vector is usually referred as widely linear processing.

EURASIP Journal on Wireless Communications and Networking

They have shown that widely linear systems outperform significantly the strictly linear one.

EURASIP Journal on Wireless Communications and Networking

A FRESH filter is the optimal widely linear filter for CS signals [2].

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When using "widely linear", ensure your audience is familiar with the technical context, particularly in signal processing or communications. If not, consider providing a brief explanation or using a more general term like "broadly linear".

Common error

Avoid using "widely linear" in contexts outside of its technical definition. It's not a synonym for "generally linear" or "broadly applicable" in common language. Using it incorrectly can lead to confusion.

Linguistic Context

The phrase "widely linear" functions as an adjective, typically modifying terms like "processing", "estimation", "filtering", or "equalization". Ludwig examples demonstrate its use in describing signal processing techniques that utilize both a signal and its conjugate. The Ludwig AI confirms that the phrase is used primarily in technical contexts.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The analysis reveals that "widely linear" is a technical term primarily used within the fields of signal processing and wireless communications. Ludwig's examples confirm its role in describing specific signal processing techniques that leverage both a signal and its complex conjugate. The phrase is considered acceptable within its niche domain, but as Ludwig AI suggests, its usage is highly specialized, limiting its broader applicability. Alternatives like "broadly linear" may be suitable in less technical contexts. It is important to consider the audience and context when using "widely linear", ensuring clarity and avoiding misinterpretations. The strong prevalence in scientific journals underscores its formal and technical nature.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Broadly linear

This alternative uses a more common adjective to convey a similar concept of linearity but in a less specialized manner.

Generalized linear

This term suggests a broader category of linear models, encompassing more variations and complexities.

Extended linear

This implies an expansion or modification of a standard linear approach.

Comprehensive linear

This emphasizes the completeness or thoroughness of the linear analysis or model.

Augmented linear

Suggests that the linear system or model has been enhanced with additional elements or data.

Enhanced linear

Focuses on improvements or optimizations made to a standard linear technique.

Modified linear

Indicates that the linear approach has been adapted or altered to suit specific requirements.

Adaptive linear

Highlights the ability of the linear system or model to adjust its parameters based on input data.

Real-valued linear

Specifies that the linear processing operates on real numbers, contrasting with complex-valued approaches.

Quasi-linear

Indicates a system that is approximately linear, but with some deviations or nonlinearities.

FAQs

How is "widely linear" used in signal processing?

In signal processing, "widely linear" processing involves using both the original signal and its complex conjugate to improve estimation and filtering, particularly for non-circular signals. It's often used in contexts like channel equalization and interference cancellation.

What are the advantages of using a "widely linear" equalizer?

A "widely linear equalizer" can offer improved performance compared to strictly linear equalizers, especially when dealing with non-circular signals or impairments like I/Q imbalance. It can also be less sensitive to channel estimation errors.

What is the difference between "widely linear" and strictly linear processing?

"Widely linear" processing uses both the original signal and its complex conjugate, while strictly linear processing only uses the original signal. This allows "widely linear" systems to exploit additional statistical information, potentially leading to better performance in certain scenarios.

In what applications is "widely linear" processing commonly used?

"Widely linear" processing is used in a variety of applications, including MIMO systems, SC-FDE systems, I/Q imbalance compensation, and quaternion signal processing. Its effectiveness depends on the specific characteristics of the signals and the channel.