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Goodwill and Intangible Assets (Tables) | 3 Months Ended
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Apr. 28, 2019
Goodwill and Intangible Assets Disclosure [Abstract] |
Changes in Carrying Amounts of Goodwill | Changes in the carrying amount of goodwill by applicable reporting unit were as follows:
(in thousands) | Signal Integrity |  | Wireless and Sensing |  | Protection |  | Total
Balance at January 27, 2019 | $ | 274,085 |  |  | $ | 72,128 |  |  | $ | 4,928 |  |  | $ | 351,141 |
Additions | — |  |  | — |  |  | — |  |  | — |
Balance at April 28, 2019 | $ | 274,085 |  |  | $ | 72,128 |  |  | $ | 4,928 |  |  | $ | 351,141 |
Schedule of Finite-lived Intangible Assets Acquired | The following table sets forth the Company’s finite-lived intangible assets resulting from business acquisitions, which continue to be amortized:
|  |  | April 28, 2019 |  | January 27, 2019
(in thousands) | Estimated Useful Life |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Core technologies | 5-8 years |  | $ | 167,930 |  |  | $ | (140,704 | ) |  | $ | 27,226 |  |  | $ | 167,930 |  |  | $ | (136,544 | ) |  | $ | 31,386 |
Customer relationships | 3-10 years |  | 34,031 |  |  | (32,142 | ) |  | 1,889 |  |  | 34,031 |  |  | (31,159 | ) |  | 2,872 |
Total finite-lived intangible assets |  |  | $ | 201,961 |  |  | $ | (172,846 | ) |  | $ | 29,115 |  |  | $ | 201,961 |  |  | $ | (167,703 | ) |  | $ | 34,258 |
Amortization expenses recorded in the Statements of Income for each period were as follows:
| Three Months Ended
(in thousands) | April 28, 2019 |  | April 29, 2018
Core technologies | $ | 4,160 |  |  | $ | 5,528 |
Customer relationships | 983 |  |  | 1,433 |
Total amortization expense | $ | 5,143 |  |  | $ | 6,961 |
Schedule of Indefinite-Lived Intangible Assets | The following table sets forth the Company’s indefinite-lived intangible assets resulting from additions to in-process research and development:
(in thousands) | Net Carrying Value
Value at January 27, 2019 | $ | 2,300 |
In-process research and development through acquisitions | — |
Value at April 28, 2019 | $ | 2,300 |

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