## 1 Introduction
Simulation results show that the proposed transceiver design can extend the transmit power, relax the requirement of the analog eliminator, and show advantages in the application scenarios of a high transmit power long-distance communication or analog eliminator. Other works of literature about phase noise include the work of [9], in which CMOS voltage-controlled oscillators (VCO) with a frequency range of 22.7 GHz-27.9 GHz are described. At 1 MHz offset frequency, the power consumption is 1.35 mW and the phase noise is as low as 117 dBc/Hz regular results, which provides a reference for the application design of low-power and low-phase-noise aerospace devices. The authors of [10] focus on the damage of phase noise to the performance of an orthogonal frequency partition multiplexing (OFDM) system. A low complexity blind data detector based on the maximum a posteriori (MAP) criterion is proposed. In [11], a phase noise frequency synthesis method based on phase-locked loop is proposed, which can effectively improve the level of phase noise and improve the performance of the communication system. This method has the potential to be realized by FPGA, and can be applied to the signal processor of digital communication system. The authors of [12] address the issue of polar coding design for bit-interleaved coded modulation (BICM) systems over the phase noise channel. The polarization code is constructed from the calculated average GMI per bit layer for a given PRE-variance and signal-to-noise ratio (SNR). The superior performance of the phase noise matching polarity design is verified by comparing it with the channel mismatch design (8 PSK). The data show that this algorithm can be applied to QPSK, 16 APSK and higher order communication systems. Moreover, the authors of [13] explore the impact of EEPN scale increases with the increase in the fiber dispersion, laser linewidths, symbol rates, signal bandwidths and the order of modulation formats. A 28-Gsym/s QPSK optical transmission system with a significant EEPN has been implemented. The measured results show that the RF pilot tone can entirely eliminate the LPN and efficiently suppress the EEPN when it is applied prior to the CPR. The authors of [14] provide a reference for the multi-rate and multi-modulation comparison simulation in this paper. The influence of carrier phase noise on the performance of modulation and demodulation in satellite communication downlink is simulated and analyzed. The conclusion is that the influence of carrier phase noise on performance of the specified modulation mode is related to the sampling rate and symbol rate of the receiver. In [15], a testbed based on USRP and 60 GHz Tx/Rx RF front-ends is developed to research a phase noise cancellation (PNC) scheme, which achieves \(-20\) dB EVM data transmission for real-time video streaming. The authors of [16] indicate a corresponding noise gauging function (NGF) which can make relatively sharp differentiation between error-causing and non-error-causing noise vectors. This function can be used to judge the accuracy of EVM measured by the instrument. In these related papers, phase noise is suppressed and canceled through various methods, while the phase noise itself is not fully modeled and quantified. In addition, in most of these studies, the magnitude of the phase noise is set, and the phase fluctuation is evaluated by the root mean square. For example, the standard deviation of the phase noise is \(5^{\circ}\), and then a conclusion is drawn based on the transmission model using numerical analysis or theoretical calculation methods. This paper is based on an inter-satellite link system in orbit, which combines high precision carrier measurement and high rate communication, and is a satellite payload with high comprehensive performance. The main purpose of this thesis is to quantitatively analyze the phase jitter of the reference frequency signal and RF microwave signal by means of the time domain and frequency domain. In the frequency domain, the phase jitter is analyzed by the numerical method.