Digital holography microscopy (DHM) has emerged as a powerful digital holographic imaging technique for dynamic three-dimensional phase reconstruction of microscopic samples. Recently, a Fresnel biprism has been introduced into the conventional DHM arrangement, making the configuration common path, off-axis and eliminating the requirement for different optical components, such as, beam-splitter, mirrors, etc. The recorded hologram in a DHM is mostly contaminated with speckle noise, which makes it difficult to interpret the phase information correctly. In the present work, we investigate the phase reconstruction accuracy in a Fresnel biprism based DHM, utilizing different Fourier terms, in the presence of low and high coherent sources. Different Fourier terms has been realised by modifying the recorded hologram in order to minimize the contribution of speckle noise in the reconstructed phase. Proof-of-concept simulation and experimental results are included for blood sample to demonstrate the accuracy in phase reconstruction in a Fresnel biprism based DHM.