For all parts of Problem 3, assume the receiver above, with…

For all parts of Problem 3, assume the receiver above, with the mixer specs as given in the table. Assume further that for all parts (except where may be indicated otherwise) the LO frequency is set to 4150 MHz at +7dBm input power and the RF frequency is 4.2 GHz . 

2 c) Consider a 4-port lossless 20 dB coupler. Port 1 is bei…

2 c) Consider a 4-port lossless 20 dB coupler. Port 1 is being used as the input port and Port 4 is the isolated port. Port 2 is the coupled port. The coupler has perfect (infinite) isolation. The input reflection coefficient is -30 dB. If the coupler is reciprocal, can you find S13 (in dB) ? ( Hint: You can use the equation below for solving for the intermediate steps to your calculation).