Download Radio-Frequency and Microwave Communication Circuits : by Devendra K Misra PDF

By Devendra K Misra

Radio - Frequency and Microwave conversation Circuits: research and layout - Wiley India-Mishra Devendra K.-2004-EDN-1

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Ab È 3 3 3 cos…o1 ‡ o2 †t ‡ cos…o1 À o2 t† ‡ k3 a cos…o1 t† ‡ ab2 cos…o1 t† ‡ 2 4 2 a3 3 2 3 2 ‡ cos…3o1 t† ‡ ab cos…o1 À 2o2 †t ‡ a b cos…2o1 À o2 †t 4 4 4 3 2 3 3 b3 3 ‡ a b cos…o2 t† ‡ b cos…o2 t† ‡ cos…3o2 t† ‡ a2 b cos…2o1 ‡ o2 †t 2 4 ! 4 4 3 2 ‡ ab cos…o1 ‡ 2o2 †t …2:5:33† 4 vo ˆ k1 ‰a cos…o1 t† ‡ b cos…o2 t†Š ‡ k2 Therefore, the output signal has several frequency components in its spectrum. 6. 17 illustrates the input±output characteristic of an ampli®er. If input signal is too low then it may be submerged under the noise.

Maximum directivities of the transmitting and receiving antennas are 16 dB and 20 dB, respectively. Assuming that the input power in a lossless transmission line connected to the transmitting antenna is 2 W, and that the two antennas are aligned for maximum radiation between them and are polarization ANTENNA SYSTEMS 31 matched, ®nd the power input to the receiver. As discussed in the next chapter, impedance discontinuity generates an echo signal very similar to that of an acoustical echo. Hence, signal power available beyond the discontinuity is reduced.

If b is large in comparison with a then the term with k3 may dominate (undesired) over the ®rst (desired) one. 50 COMMUNICATION SYSTEMS Second Harmonic Distortion Second harmonic distortion occurs due to k2 . If b is zero, then the amplitude of the second harmonic will be k2 …a2 =2†. Since power is proportional to the square of the voltage, the desired term in the output can be expressed as  a 2 ˆ 20 log10 …a† ‡ C1 …2:5:38† P1 ˆ 10 log10 Bk1 2 where B is the proportionality constant and C1 ˆ 20 log   Bk1 2 Similarly, power in the second harmonic component can be expressed as  2 a2 ˆ 40 log10 …a† ‡ C2 P2 ˆ 10 log10 Bk2 2 …2:5:39† while the input power is  a 2 Pin ˆ 10 log10 B ˆ 20 log10 …a† ‡ C3 2 …2:5:40† Proportionality constants B and k2 are imbedded in C2 and C3 .

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