A more thorough explanation:

Definition: Star chamber proceeding is a term used in legal cases to describe an unfair and arbitrary trial. The term comes from the Star Chamber Courts of Medieval and early-modern England, which were originally used to try powerful noblemen who could not be brought before common courts. However, these courts eventually became known for suppressing anti-monarchical sentiment and using torture to obtain confessions and suppress opposition. Although Parliament abolished Star Chamber Courts in 1641, the phrase still invokes images of judicial arbitrariness and is often used to oppose a proceeding that is seen as unfair.

• In DS v. JH, a divorced husband challenged a divorce proceeding by the Scottish Court of Sessions, attacking the proceeding as a “star chamber.”
• In Burnham v. Commonwealth, a pro se litigant sued state officials for conducting a criminal prosecution against him, which he characterized as “analogous to a 16th century star chamber proceeding.”
• In U.S. v Ju Toy (1905), the U.S. Supreme Court questioned whether an immigration proceeding where Chinese immigrants had to potentially appear and give testimony in Washington D.C. to establish lawful admission to the U.S. was a "star-chamber proceeding of the most stringent sort."

These examples illustrate how the term "star chamber proceeding" is used to describe legal proceedings that are seen as unfair or arbitrary. In each case, the litigant or judge uses the term to question the fairness of the trial and suggest that it is reminiscent of the unjust practices of the Star Chamber Courts.