The exponential growth in Internet traffic is partially an outcome of increasing social networking, cloud computing and the arrival of a variety of applications, for example, video streaming. Accordingly, it necessitates the deployment of robust data centers providing data transport at sufficiently high speed. By 2020, 77% of global data networking stays within data centers and the data traffic between data centers is about 9% reported by the Cisco Global Index 2014-2019. Short reach optical interconnects in the data centers satisfy the demand for transfer of such an increasing volume of data. In the year 2017, the ratio of optical to copper cabling in the data center has reached 60%. The firrst stage in an optical receiver is a transimpedance amplifier (TIA) which converts a small photocurrent into a voltage signal. Considering the thermal noise of the optical receiver as the dominant source of noise, improving the sensitivity of the optical receiver will lessen the transmitted optical power to establish a given bit error rate (BER). In a conventional TIA, the realizable gain declines as the data rate is pushed higher, requiring additional stages of main amplifiers and leading to a power-hungry receiver. Recently, high-gain but limited bandwidth front ends are proposed to achieve a high data rate with better noise performance and reduced power dissipation compared to conventional approaches. However, the reduced bandwidth introduces significant intersymbol interference (ISI). Discrete time feedforward equalization (DT-FFE) can cancel ISI. Nevertheless, charge injection and clock feedthrough in the sampling circuit can degrade the signal. Certain problems associated with discrete time approach is eliminated in proposed design employing a continuous time FFE (CT-FFE). The signal-to-noise ratio (SNR) at the output of TIA determines the sensitivity of the front-end optical receiver. Modeling both the TIA and its thermal noise, by the second-order response, the eye height and the root mean square (RMS) of the TIA thermal noise are investigated against the typical characteristics of the model. The root mean square (RMS) is formulated independently from the data rate. Consequently, the conditions for which SNR reaches the highest value are extracted. Afterward, a case study has been done for the shunt-feedback TIA using the above expressions to extract TIA design parameters with and without an equalizer. The gaol is to reduce the power consumption by increasing the sensitivity of the TIA. To this end, the above analyses assist us to replace a conventional TIA following by the power-hungry stages of amplifiers by a low-bandwidth TIA following with an equalizer. The proposed CT-FFE is designed in CMOS 65 nm technology. The power dissipation for the receive and decision circuit is about 13.15 mW from a 1-V supply. The front-end has an equivalent gain of 66dB. It has an input referred noise of 0.32 uArms, leading to an estimated noise-limited sensitivity of 4.48 uAp-p in the presence of a pad/photodiode capacitance of 100 fF.