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Problems

13.1.Repeating the calculations leading to Eq. (13.7), determine the required IIP3 of an 11a/g receiver for a data rate of 54 Mb/s and a sensitivity of −65 dBm.
13.2.Suppose the interferers in Example 13.5 are not approximated by narrowband signals. Is the corruption due to reciprocal mixing greater or less than that calculated in the example?
13.3.Repeat Example 13.5 for the low sensitivity case, i.e., with the desired input at −65 dBm. Assume a noise-to-signal ratio of −35 dB.
13.4.Using the equations derived in Chapter 6 for the input impedance of a single-balanced voltage-driven passive mixer, estimate the load impedance seen by the LNA in Fig. 13.19.
13.5.Two blockers of equal power level appear in the adjacent and alternate adjacent channels of an 11a receiver. If the receiver has a phase noise of −100 dBc/Hz, what is the highest blocker level that allows a signal-to-noise ratio of 30 dB? Neglect other sources of noise.
13.6.Repeat the above problem for only one blocker in the adjacent channel and compare the results.
13.7.Assuming λ > 0, derive the voltage gain and input impedance of the LNA shown in Fig. 13.14(a).
13.8.Determine the noise contribution of I1 and I2 in Fig. 13.26(b) to the input for minimum and maximum gain settings. Neglect the on-resistance of the switches, channel-length modulation, and body effect.
13.9.In the circuit of Fig. 13.44(b), prove that the gain from the noise voltage of each resistor to the VCO output frequency is equal to KVCO.
13.10.Considering the leakage current of the transistors in Fig. 13.50(a), prove that the state eventually vanishes if CK remains low indefinitely. Assuming each output node has a leakage current of I1 and a total capacitance of C1, estimate the time necessary for the state to vanish.

 


  

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