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Business Combinations and Goodwill (Narrative) (Details) - USD ($)
$ in Thousands
10 Months Ended 12 Months Ended
Mar. 10, 2015
Jan. 02, 2016
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Dec. 04, 2014
Business Acquisition [Line Items]            
Impairment of goodwill and intangible assets     $ 21,655 $ 0 $ 0  
Goodwill   $ 267,549 267,549 $ 44,808    
Silicon Image, Inc            
Business Acquisition [Line Items]            
Interests acquired 100.00%         7.00%
Business combination, pro forma information, revenue of acquiree since acquisition date, actual   135,600        
Business combination, pro forma information, earnings or loss of acquiree since acquisition date, actual   77,000        
BusinesscCombination, acquisition related costs   8,200        
Goodwill $ 235,401 235,400 235,400      
Fair value of partially vested stock options and RSUs assumed $ 5,139          
SiliconBlue Technologies Ltd. and Silicon Image, Inc            
Business Acquisition [Line Items]            
Impairment of goodwill and intangible assets     12,700      
Prior Acquisitions            
Business Acquisition [Line Items]            
Goodwill   $ 44,800 44,800      
Scenario, Adjustment | Silicon Image, Inc            
Business Acquisition [Line Items]            
BusinesscCombination, acquisition related costs     30,600      
Qterics            
Business Acquisition [Line Items]            
Impairment of goodwill and intangible assets     $ 12,700