###### Abstract  
A dual-band monopole antenna of a trapezoidal shape is modelled and the analytical study is presented in this article. The designed model is working between 2.5 and 3 GHz by producing bandwidth value of 500 MHz and 4-5 GHz with a bandwidth value of 1000 MHz. The designed antenna polarization is linear, and the radiation is non-directive. The performance bandwidth is 4:1, 2:1, and 5:1 at 2.5, 2.6, and 4.5 GHz and the gain value is 2.3 dB, 2.9 dB, and 5.1 dB, respectively. An impedance value of 50 ohms is observed at the port during the analysis. The analysed model is best suitable for the wireless communication applications of ISM, Wi-Fi, and WLAN, with moderate gain and efficiency. In wireless communication systems, effective and adaptable antennas are in high demand. This work proposes an analytical modelling technique for a trapezoidal-structured monopole antenna for Wi-Fi, ISM, and other wireless communication systems. The proposed antenna has a compact size, broad frequency coverage, and omnidirectional radiation patterns. The analytical model considers the antenna's geometric characteristics, material qualities, and operating frequencies using electromagnetics laws. Through rigorous mathematical definitions, the study reveals the antenna's resistance, radiation efficiency, and gain patterns across the necessary frequency bands. Furthermore, this analytical model predicts antenna performance without time-consuming simulation or costly prototypes. A thorough analysis assesses the trapezoidal monopole antenna's suitability for Wi-Fi, ISM, and wireless communication applications, addressing their individual requirements and limit. The bandwidth, gain, radiation efficiency, and impedance matching are examined to show the antenna's capacity to fulfil modern wireless system needs. Bluetooth; LTE; WLAN; wireless communication; ISM +
Footnote †: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ([[https://creativecommons.org/licenses/by/4.0/](https://creativecommons.org/licenses/by/4.0/)]([https://creativecommons.org/licenses/by/4.0/](https://creativecommons.org/licenses/by/4.0/))). Footnote †: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ([[https://creativecommons.org/licenses/by/by/4.0/](https://creativecommons.org/licenses/by/by/4.0/)]([https://creativecommons.org/licenses/by/by/4.0/](https://creativecommons.org/licenses/by/by/4.0/))). Footnote †: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ([[https://creativecommons.org/licenses/by/4.0/](https://creativecommons.org/licenses/by/4.0/)]([https://creativecommons.org/licenses/by/4.0/](https://creativecommons.org/licenses/by/4.0/))). Footnote †: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:creativecommons.org/licenses/by/4.0/). Footnote †: This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons. etched with a U-slot to develop the notch band antenna. The provided antenna consists of a dielectric permittivity value of 2.2 and tan delta value of 0.009 and is fabricated on Rogers product of RT-duroid-5880 substrate material. The notch band antenna's overall dimensions are approximately 51 \(\times\) 45 \(\times\) 1.6 mm. To achieve multiband functioning, a small slotted printed monopole antenna with metamaterial loading is proposed [2]. This antenna configuration shows multiband characteristics and was first inspired by the idea of refractive index value-based metamaterial structure transmission lines.