Ambiguity function: Difference between revisions

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*t_{d} = t_{1}+t_{2}, <br>
*f_{d} = f_{1}-f_{2}, <br>
*<math>\alph_alpha_{d} = \alpha_{1}-\alpha_{2}</math><br>
 
*:<math>A_{x2x1}(\tau,n) = A_{x1x2}^{*}(-\tau,-n)</math>
 
When <math>\alpha_{1}</math> not equal <math>\alpha_{2}</math>
:<math>A_{x1x2}(\tau,n) = \sqrt\frac{1}{2\alpha_{u}}exp[-\pi \frac{[(n-f_{d})+j(\alpha_{1}t_{1}+\alpha_{2}t_{2})-j\alpha_{d}\tau /2]^{2}}{2\alpha_{u}}exp[-\pi(\alpha_{1}(t_{1}-\frac{\tau}{2})^{2})+\alpha_{2}(t_{2}-\frac{\tau}{2})^{2})]exp[j2\pi
f_{u}\tau]</math><br>