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hw6_2010

# hw6_2010 - EE 5505 Wireless Communication Prof N Jindal...

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EE 5505 Prof. N. Jindal Wireless Communication March 23, 2010 Homework 6 Due: Tuesday, March 30, 11:15 AM 1. 12.3: Note that the corrected equation (12.17) is DFT { x [ n ] h [ n ] } = N · DFT { x [ n ] } · DFT { h [ n ] } (1) (The N factor is missing in the book) 2. 12.7 3. 12.9: Replace H with ˜ H throughout the problem. 4. 12.11: Replace H with ˜ H in part (b). 5. 12.10 6. You are designing a 10 MHz OFDM system at a carrier frequency of 1 GHz. As- sume that you are in an outdoor environment with a maximum delay spread of 15 microseconds. (a) What length cyclic prefix is needed for this system? (b) What is the eﬃciency of a system using 1024 subcarriers ( N = 1024)? (c) Repeat parts (a) and (b) for an indoor environment with a maximum delay spread of 1 microsecond. 7. In this problem we study the PAPR of the transmit samples (i.e., the outputs of the IFFT at the TX). In the notation from lecture, we used ˜ d [0] , . . . , ˜ d [ N - 1] to denote the QAM symbols, while d [0] , . . . , d [ N - 1] are the IFFT of the QAM symbols (i.e., the transmit samples). In terms of these discrete-time samples, the PAPR is: PAPR = max k =0 ,...,N - 1

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hw6_2010 - EE 5505 Wireless Communication Prof N Jindal...

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