41. On the left is the real part and on the right is the imaginary part of the impulse response. 42. The nondispersive propagation of the real or imaginary part of this wave packet is presented in the above animation. 43. A branch cut, usually along the negative real axis, can limit the imaginary part so it lies between and. 44. At that frequency the ratio of Z 1 to Z 2 will be purely real ( zero imaginary part ). 45. This is the resonant frequency of the circuit defined as the frequency at which the admittance has zero imaginary part . 46. The resonant frequency ( frequency at which the impedance has zero imaginary part ) in this case is given by 47. He is careful to point out that real parts add to real parts, and imaginary parts add to imaginary parts. 48. He is careful to point out that real parts add to real parts, and imaginary parts add to imaginary parts . 49. These are easily seen to be the real and imaginary parts of the complex form Z \ overline { Z }. 50. An explanation of how real and imaginary parts are used with RADAR can be found in the description of Pulse Doppler.
