###### Abstract
The BS/SN discovers such redundant data and drops it. By performing this action, it improves the lifetime of the network, and thus, the energy consumption is reduced, and any delay introduced in the network is also reduced. Securely aggregating sensed data via aggregator nodes plays a vital role in conserving energy efficiency in the network. In aggregating the sensed data, BS utilizes a security control mechanism. Secure data aggregation (SDA) uses security control mechanisms like authentication and authorization methods in WSNs. Thus, secure data aggregation ensures confidentiality, integrity, and availability for privacy preservation [12] in a WSN while avoiding communication overhead (CO). Thus, secure data aggregation uses sensed data and avoids communication overhead. Consequently, SDA enhances the energy utilization of the SN during sensed data collection. In addition, SDA protocols play a vital role. They act as a firewall that should authenticate and authorize legitimate SN data for privacy preservation against any vulnerabilities or cyberattacks in the network. Due to this limitation of security control mechanisms such as secure node authorization, the lifetime of the WSN becomes a significant challenge. This challenge is due to the need to approve authenticated and authorized legitimate sensor nodes (SN) for secure data transmission in the network, which would subsequently leads to privacy concerns. Thus, there is an urgent need for a privacy-preserving secure data aggregation approach to handle data aggregation issues and appropriately address data privacy concerns to maintain QoS provisioning [13] in the network. Secure data aggregation is an indispensable paradigm that removes data redundancy and prevents additional energy consumption [14], which requires further security design investigation. Therefore, researchers have introduced privacy-preserving aggregation of time-series data schemes for WSN and uploaded encrypted values for the data aggregation. A data aggregation process calculates the sum of the participants' SNs. However, it needs access to learn the contents of the data due to limitations in authorization and authentication security control mechanisms in the network, leading to communication overhead (CO). However, communication overhead (CO) is a significant concern in WSNs because of the constrained features of sensor nodes. Secure data aggregation and privacy preservation of SN that extend network lifetime reduce CO. Reducing CO leads to sensed data in data aggregation, which helps make essential decisions in the WSN application. Nevertheless, the accuracy of final aggregation outcomes is significant. Therefore, researchers proposed an Energy-efficient and high-accuracy (EEHA) approach for secure data aggregation [15]. EEHA aims to achieve accurate data aggregation without sharing private sensor information and reducing communication overhead. The proposed EEHA achieved its objectives of reducing communication overhead. However, the proposed solution only partially applied to realistic situations from a privacy-preserving secure data aggregation security standpoint. False sub-aggregate values are a security threat for the WSNs created by compromised sensor nodes. In this type of attack, significant errors are generated at the base station. The false sub-aggregate attacks restrict the authentication and authorization process of the nodes, since the EEHA protocol requires authorization of each SN in the network. As a result of limited authorization, a false sub-aggregate error synopsis diffusion (SD) [16] approach reduced only false errors in WSNs. SD involves the algorithm that enables the base station (BS) to securely calculate the sum in the presence of those vulnerable or compromised attacks. Furthermore, the SD algorithm helped to calculate the actual aggregate to avoid the contributions of conceded sensor nodes in the aggregation hierarchy.