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Table 1 Comparison of original and corrected FDA array factors

From: Beampattern analysis of frequency diverse array radar: a review

Type of FDA Original array factor Corrected array factor
TDFO-FDA [114] \(\sum \limits _{m=0}^{M-1}e^{j2\pi m[\frac{t-r/c}{t-r_d/c}(1-\frac{f_0 d\sin \theta _d}{c})+\frac{f_0 d\sin \theta }{c}]}\) \(\sum \limits _{m=0}^{M-1}e^{j2\pi m[\frac{t-r/c}{t-r/c-r_d/c}(1-\frac{f_0 d\sin \theta _d}{c})+\frac{f_0 d\sin \theta }{c}]}\)
Pulsed-FDA [115] \(rect(\frac{t}{T_p}) \sum \limits _{m=0}^{M-1}e^{j2\pi m[\Delta f(t-\frac{r_m}{c})+\frac{f_0 d\sin \theta }{c}]}\) \(rect(\frac{t-r_m/c}{T_p}) e^{j2\pi f_0 (t-\frac{r}{c})}\sum \limits _{m=0}^{M-1}e^{j2\pi m[\Delta f(t-\frac{r_m}{c})+\frac{f_0 d\sin \theta }{c}]}\)
C-TMOFO FDA [119] \(\sum \limits _{m=-M}^{M} e^{\lbrace j2\pi [(g(m)-\frac{m\sin \theta _d}{2})(\frac{t-\frac{r}{c}+\frac{m\sin \theta }{2f_0}}{t-\frac{r_d}{c}+\frac{m\sin \theta _d}{2f_0}})+\frac{m\sin \theta }{2}-g(m)] \rbrace }\) \(\sum \limits _{m=-M}^{M} e^{\lbrace j2\pi [(g(m)-\frac{m\sin \theta _d}{2})(\frac{t-\frac{r}{c}+\frac{m\sin \theta }{2f_0}}{t-\frac{r}{c}-\frac{r_d}{c}+\frac{m\sin \theta _d}{2f_0}})+\frac{m\sin \theta }{2}-g(m)] \rbrace }\)