The instrumentation amplifier (IA) is one of the crucial blocks in an electrocardiogram recording system. It is the first block in the analog front-end chain that processes the ECG signal from the human body and thus it defines some of the most important specifications of the ECG system like the noise and common mode rejection ratio (CMRR). The extremely low ECG signal bandwidth also makes it difficult to achieve a fully integrated system. In this thesis, a fully integrated IA topology is presented that achieves low noise levels and low power dissipation. The chopper stabilized technique is implemented together with an AC coupled amplifier to reduce the effect of flicker noise while eliminating the effect of the differential electrode offset (DEO). An ultra low power operational transconductance amplifier (OTA) is the only active power consuming block in the IA and so an overall low power consumption is achieved. A new implementation of a large resistor using the T-network is presented which makes it easy to achieve a fully integrated solution. The proposed IA operates on a 2V supply and consumes a total current of 1.4µA while achieving an integrated noise of 1.2µVrms within the bandwidth. The proposed IA will relax the power and noise requirements of the analog-to-digital converter (ADC) that immediately follows it in the signal chain and thus reduce the cost and increase the lifetime of the recording device. The proposed IA has been implemented in the ONSEMI 0.5µm CMOS technology.