On the Low-SNR Capacity of Phase-Shift Keying with Hard-Decision Detection

1 The low-SNR capacity of M-ary PSK transmission over both the additive white Gaussian noise (AWGN) and fading channels is analyzed when hard-decision detection is employed at the receiver. Closed-form expressions for the first and second derivatives of the capacity at zero SNR are obtained. The spectralefficiency/bit-energy tradeoff in the low-SNR regime is analyzed by finding the wideband slope and the bit energy required at zero spectral efficiency. Practical design guidelines are drawn from the information-theoretic analysis. The fading channel analysis is conducted for both coherent and noncoherent cases, and the performance penalty in the low-power regime for not knowing the channel is identified.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Mustafa Cenk Gursoy
• Keywords: Additive White Gaussian Noise, CORR 2007, Education, Low-SNR Capacity, M-ary PSK Transmission