Majlesi Journal of Electrical Engineering (Feb 2024)

Noise Calculation Technique Using Time Varying Model

  • Saber Izadpanah Tous,
  • Mahmoud Behroozi,
  • Ehsan Kargaran,
  • Hooman Nabovati

Journal volume & issue
Vol. 6, no. 4

Abstract

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All oscillators are periodically time varying systems, so to accurate phase noise calculation and simulation, time varying model should be considered. Phase noise is an important characteristic of oscillator design. It defined as the spectral density of the oscillator spectrum at an offset from the center frequency of the oscillator relative to the power of the oscillator. In this paper, we study linear time invariant (LTI) and linear time variant (LTV) model’s to calculate phase noise. Moreover, we propose a simple method for Impulse Sensitivity Function (ISF) calculation. Different oscillators have been selected to evaluate the proposed method. Simulation results show that the proposed method is simpler than other methods, and we can easily simulation ISF.å™ªè²è¨ˆç®—æŠ€è¡“ä½¿ç”¨æ™‚è®Šæ¨¡åž‹æ‘˜è¦æ‰€æœ‰çš„æŒ¯ç›ªå™¨é€±æœŸæ™‚è®Šç³»çµ±ï¼Œæ‰€ä»¥è¦ç²¾ç¢ºçš„ç›¸ä½å™ªè²çš„è¨ˆç®—å’Œæ¨¡æ“¬ï¼Œéš¨æ™‚é–“è®ŠåŒ–çš„æ¨¡å¼æ‡‰è©²è¢«è€ƒæ ®ã€‚ç›¸ä½å™ªè²æ˜¯æŒ¯ç›ªå™¨è¨­è¨ˆçš„ä¸€å€‹é‡è¦ç‰¹å¾µã€‚å®ƒå®šç¾©ç‚ºæŒ¯ç›ªå™¨é »è­œä¸­çš„ä¸€å€‹å¾žç›¸å°æ–¼æŒ¯ç›ªå™¨çš„åŠŸçŽ‡çš„æŒ¯ç›ªå™¨çš„ä¸­å¿ƒé »çŽ‡åç§»çš„é »è­œå¯†åº¦ã€‚åœ¨æœ¬æ–‡ä¸­ï¼Œæˆ‘å€‘ç ”ç©¶äº†ç·šæ€§æ™‚ä¸è®Šï¼ˆLTI)和線性時變(LTV)模型來計算相位噪聲。此外,我們提出了脈衝靈敏度函數(ISFï¼‰è¨ˆç®—çš„ç°¡å–®æ–¹æ³•ã€‚ä¸åŒæŒ¯ç›ªå™¨å·²é¸å®šï¼Œè©•ä¼°äº†è©²æ–¹æ³•ã€‚ä»¿çœŸçµæžœè¡¨æ˜Žï¼Œè©²æ–¹æ³•æ¯”å ¶ä»–æ–¹æ³•æ›´ç°¡å–®ï¼Œæˆ‘å€‘å¯ä»¥å¾ˆå®¹æ˜“åœ°æ¨¡æ“¬ISF。

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