EXHIBIT 23.1 CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM We hereby consent to the incorporation by reference in the Registration Statements on Form S-8 (No. 33-57610, No. 333-09383, No. 333-29667, No. 333-76895, No. 333-71770 and, No. 333-110151) of Trident Microsystems, Inc. of our report dated September 3, 2004 relating to the financial statements which appear on page 33 of this Form 10-K. PricewaterhouseCoopers LLP San Jose, California September 13, 2004