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Goodwill and Intangible Assets (Tables) | 3 Months Ended
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Apr. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |
Changes in Carrying Amounts of Goodwill | The carrying amounts of goodwill by applicable reporting unit were as follows:
(in thousands) | Signal Integrity |  | Advanced Protection and Sensing |  | IoT System |  | IoT Connected Services |  | Unallocated |  |  |  | Total
Balance at January 29, 2023 | $ | 274,085 |  |  | $ | 14,639 |  |  | $ | 61,582 |  |  | $ | — |  |  | $ | 931,397 |  |  |  |  | $ | 1,281,703 |
Measurement period adjustment | — |  |  | — |  |  | — |  |  | — |  |  | 7,125 |  |  |  |  | $ | 7,125 |
Balance at April 30, 2023 | $ | 274,085 |  |  | $ | 14,639 |  |  | $ | 61,582 |  |  | $ | — |  |  | $ | 938,522 |  |  |  |  | $ | 1,288,828 |
Schedule of Acquired Finite-Lived Intangible Assets | The following table sets forth the Company’s finite-lived intangible assets resulting from business acquisitions, which are amortized over their estimated useful lives:
|  |  | April 30, 2023 |  | January 29, 2023
(in thousands, except estimated useful life) | Estimated Useful Life |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Carrying Amount
Core technologies | 1-8 years |  | $ | 175,114 |  |  | $ | (32,011) |  |  | $ | 143,103 |  |  | $ | 175,080 |  |  | $ | (21,156) |  |  | $ | 153,924 |
Customer relationships | 1-10 years |  | 52,381 |  |  | (4,776) |  |  | 47,605 |  |  | 53,000 |  |  | (690) |  |  | 52,310 |
Trade name | 2-10 years |  | 9,000 |  |  | (924) |  |  | 8,076 |  |  | 9,000 |  |  | (132) |  |  | 8,868 |
Total finite-lived intangible assets |  |  | $ | 236,495 |  |  | $ | (37,711) |  |  | $ | 198,784 |  |  | $ | 237,080 |  |  | $ | (21,978) |  |  | $ | 215,102 |
Finite-lived Intangible Assets Amortization Expense | Amortization expense of finite-lived intangible assets was as follows:
| Three Months Ended |  |
(in thousands) | April 30, 2023 |  | May 1, 2022 |  |  |  |
Core technologies | $ | 10,855 |  |  | $ | 1,048 |  |  |  |  |
Customer relationships | 4,090 |  |  | — |  |  |  |  |
Trade name | 792 |  |  | — |  |  |  |  |
Total amortization expense | $ | 15,737 |  |  | $ | 1,048 |  |  |  |  |
Schedule of Future Amortization of Intangible Asset | Future amortization expense of finite-lived intangible assets is expected as follows:
(in thousands) | Core Technologies |  | Customer Relationships |  | Trade name |  | Total
2024 (remaining nine months) | $ | 30,620 |  |  | $ | 11,762 |  |  | $ | 2,375 |  |  | $ | 44,757 |
2025 | 39,542 |  |  | 4,003 |  |  | 1,722 |  |  | 45,267 |
2026 | 32,434 |  |  | 4,003 |  |  | 500 |  |  | 36,937 |
2027 | 17,573 |  |  | 4,003 |  |  | 500 |  |  | 22,076 |
2028 | 13,562 |  |  | 4,003 |  |  | 500 |  |  | 18,065 |
Thereafter | 9,372 |  |  | 19,831 |  |  | 2,479 |  |  | 31,682 |
Total expected amortization expense | $ | 143,103 |  |  | $ | 47,605 |  |  | $ | 8,076 |  |  | $ | 198,784 |

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