## 1 Introduction  
The medical system in the past focused on the treatment of diseases, but with the significant advancements in medical technology today, the focus has shifted to early diagnosis and treatment-oriented medical services to prevent diseases in advance and maintain a healthy body for a long time. Along with the increased life expectancy in modern times, the prevalence of human beings is also increasing, and rapid visual diagnosis using medical imaging is required in the case of high prevalence and fatality rates such as cancer [1,2]. Therefore, the need for high-performance medical imaging equipment for precise diagnosis is increasing [3]. However, X-rays and gamma rays, which are commonly used to examine the human body, use ionizing radiation. Ionizing radiation consists of high-energy electromagnetic waves and is used in the medical field for human imaging. Unfortunately,ionizing radiation can cause minor side effects like radiation sickness and more severe potential genetic issues by affecting DNA in the process of penetrating cells [4]. To defend against harmfulness from ionizing radiation, the concept of nuclear magnetic resonance was first established by [PERSON] and [PERSON]. The modern magnetic resonance imaging (MRI) was developed through continuous research based on the concept. It is now possible to obtain high-resolution medical images with reduced radiation [5]. The non-ionizing radiation used in MR apparatuses has significantly lower energy than ionizing radiation and has been verified to have no harmful effects on the human body. Moreover, imaging using a magnetic field directly stimulates hydrogen nuclei present in each tissue allowing the acquisition of high-resolution images unlike the ionizing radiation that exploits interactions with tissues [6; 7]. In addition, compared with CT, MRI is more effective in observing areas surrounded by air or bones and is widely used in clinical practice for a precise diagnosis. However, noise inevitably occurs in the resulting magnetic resonance (MR) images because of coil malfunction or disturbance of the external magnetic field [8]. MR images were corrupted by a zero-means Gaussian noise distribution, namely, Rician noise, with equal variance. Rician noise arises in MRI primarily during the generation of frequency by RF coils and the amplification of signals in pre-amplifiers. The raw data of MR images inherently possess complex values and are corrupted due to a zero-mean Gaussian distribution with equal variance [9]. Although similar to Gaussian noise in having tails on both sides of the mean, Rician noise differs in that its means is non-zero and distribution is asymmetric. MR images, typically in magnitude format, are formed by a non-linear transformation that involves taking the square root of the sum of squares of two independent Gaussian random variables at each pixel. This transformation leads to MR images having a Rician distribution, which can be described by the amplitude of periodic signals and the standard deviation of Gaussian noise. Noise occurring in all medical images, including MRI, has a detrimental impact on observing irregular tissues within the human body. The small distortions can lead to different interpretations particularly in regions like the abdomen or brain, where various tissues with different contrasts are densely interconnected. Therefore, noise reduction from medical images has been a persistent issue and is actively researched to achieve accurate diagnoses [10]. Noise-reduction methods can be classified into two types. First, it improves the performance of medical imaging apparatus [11]. Increasing the magnetic field strength can reduce noise and simultaneously improve the resolution of MR images. High-performance superconducting magnets are required to generate a strong magnetic field [12]. The modeling and development of the magnets involve significant time and cost.