... a, 2 A:5 b A:6 a A:6 b sin2 a cos2 a 1, A:7 a sin2 a 1 À cos
2a, A:7 b cos2 a 1 cos
2a, A:7 c eÆja cos a Æ j sin a, A:8 a ja
e À eÀja , 2j A:8 b sin a A:8 c cos ... and signal vectors, and the result is a scalar y(n) If we further define the coefficient vector a a1 a2 Á Á Á aM T A:3 2 450 APPENDIX A: SOME USEFUL FORMULAS and the previous output signal ... j
x1 y2 x2 y1 A:1 8a
r1 r2 e j
y1 y2 , A:1 8b Im[z] y (x, y) r q Figure A.1 x Re[z] Complex numbers represented as a vector 448 APPENDIX A: SOME USEFUL FORMULAS z1
x1 x2 y1...