Time Multiplexed Beam-Forming with Space-Frequency Transformation by Wei Deng Reza Mahmoudi & Arthur H. M. Roermund

Author:Wei Deng, Reza Mahmoudi & Arthur H. M. Roermund
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

5.1.3 Combination in the Analog Domain

In a multiplexing receiver system, the channels are conducting one after each other, sequentially. When one channel is conducting, other channels must be isolated. Moreover, the conducting time during of each channel is evenly distributed in period T S . Figure 5.4 describes such a square wave.

Fig. 5.4Multiplexing pulses

For simplicity, assuming all paths τ k equal to 1/(K•f S ), and assuming also α 1 = 1, α 2 = 0, t S,1 = 0/(K·f S ), t S,2 = 1/(K·f S ), t S,k = (k − 1)/(K·f S ), t S,K = (K − 1)/(K·f S ), Eq. (5.10) simplifies to x k (t)| equal-paths as

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