Performance Comparison of UWB Pulse Modulation Schemes under White Gaussian Noise Channels

Table 1

BER and SER in AWGN channel for different UWB modulations.

TH-BPPM	Orthogonal single pulse (𝑁𝑠=1)
	𝑃𝑟𝑏=𝑄𝑁𝑠𝛾𝑏(𝑥)=1,𝑄2𝑥erfc√2
	𝑠𝑚=𝑠0=+𝑝𝑇𝑥1−𝑅0(𝑚,𝑠1)=−𝑝𝑇𝑥1−𝑅0(𝑚)
	where 𝑅𝑗(𝜀) is autocorrelation of the pulse 𝑆𝑚.
	orthogonal multipulse signal with TH coding:
	𝑃𝑟𝑏=𝑄𝑁𝑠𝛾𝑏1−𝑅0(𝑚)
BPAM/BPSK	𝑃𝑏=𝑄2𝛾𝑏
M-PPM	𝑃𝑀=1√∫2𝜋^∞−∞11−√∫2𝜋^𝑦−∞𝑒^−𝑥2/2𝑑𝑥^𝑀−1⋯
	⋯exp−12𝑦−2𝛾𝑠^2𝑑𝑦
	𝑃𝑏=2^𝑘−12^𝑘𝑃−1^𝑀≈12𝑃𝑀
M-PAM	𝑃𝑀=2(𝑀−1)𝑀𝑄6log2(𝑀)𝛾𝑏𝑀^2𝑃−1^𝑏=1𝑘𝑃𝑀
	𝛾𝑠=log2(𝑀)𝛾𝑏𝛾𝑏=𝑁𝑠𝜉𝑏𝑁0