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Goodwill and Other Intangible Assets
 12 Months Ended
Dec. 29, 2018
Goodwill and Other Intangible Assets  
Goodwill and Other Intangible Assets

9. Goodwill and Other Intangible Assets

Goodwill

        The following summarizes the activity in goodwill for the years ended December 29, 2018 and December 30, 2017 (in thousands):

 
   Year Ended  
 
   December 29,
2018		   December 30,
2017		  

Beginning balance

   $ 288,227   $ 276,130  

Additions due to business combinations

     109,117     12,097  
​ ​ ​ ​ ​ ​ ​ ​

Ending balance

   $ 397,344   $ 288,227  
​ ​ ​ ​ ​ ​ ​ ​
​ ​ ​ ​ ​ ​ ​ ​
​ ​ ​ ​ ​ ​ ​ ​

Other Intangible Assets

        The gross carrying amount and accumulated amortization of other intangible assets are as follows (in thousands):

 
    
   December 29, 2018   December 30, 2017  
 
   Weighted-Average
Amortization
Period
(Years)		  
 
   Gross
Amount		   Accumulated
Amortization		   Gross
Amount		   Accumulated
Amortization		  

Core and developed technology

   8   $ 237,265   $ (102,116 ) $ 161,700   $ (89,442 )

Customer relationships

   5     46,890     (21,075 )   25,470     (16,180 )

Patents

   —     —     —     3,000     (2,750 )

Trademarks

   7     12,310     (2,442 )   3,690     (2,344 )
​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

Total

   8   $ 296,465   $ (125,633 ) $ 193,860   $ (110,716 )
​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​
​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​
​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

        Gross intangible assets increased $125.7 million in fiscal 2018 for assets added due to the acquisition of Z-Wave business. This increase was offset by $23.1 million due to the removal of fully amortized assets.

        Amortization expense related to intangible assets for fiscal 2018, 2017 and 2016 was $38.0 million, $27.1 million and $27.3 million, respectively. The estimated aggregate amortization expense for intangible assets subject to amortization for each of the five succeeding fiscal years is as follows (in thousands):

Fiscal Year
   
  

2019

   $ 39,222  

2020

     36,727  

2021

     32,337  

2022

     24,206  

2023

     18,286