Since the invention of Information Theory by Shannon in 1948, coding theorists have been trying to come up with coding schemes that will achieve capacity dictated by Shannon s Theorem. The most successful two coding schemes among many are the LDPCs and Turbo codes. In this thesis, we focus on LDPC codes and in particular their usage by the second generation terrestrial digital video broadcasting (DVB-T2), second generation satellite digital video broadcasting (DVB-S2) and IEEE 802.16e mobile WiMAX standards. Low Density Parity Check (LDPC) block codes were invented by Gallager in 1962 and they can achieve near Shannon limit performance on a wide variety of fading channels. LDPC codes are included in the DVB-T2 and DVB-S2 standards because of their excellent error-correcting capabilities. LDPC coding has also been adopted as an optional error correcting scheme in IEEE 802.16e mobile WiMAX. This thesis focuses on the bit error rate (BER) and PSNR performance analysis of DVB-T2, DVB-S2 and IEEE 802.16e transmission using LDPC coding under additive white Gaussian noise (AWGN) and Rayleigh Fading channel scenarios.