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ece 313 hw 10

# ece 313 hw 10 - ECE 313 Fall 2010 Homework 10 –...

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Unformatted text preview: ECE 313 Fall 2010 Homework 10 – Due on Tuesday, Nov. 23 (All book problems are from Chapter 10  copies of the problems are attached.) 1. Problem 33, p. 385. 2. 3. Problem 39, p. 386. 4. Problem 43, p. 387. 5. Problem 47, p. 389. 6. Problem 49, p. 390. 7. Problem 38, p. 386. Suppose we have a signal x ( t ) = 100 sinc(100 t ) . We observe the signal y ( t ) = x ( t ) + n ( t ) where n ( t ) = 200 sinc(1000 t ) is an unwanted (interference) signal. € (a) (b) € Define the observed signal to interference ratio to be € Energy in x ( t ) SIR I = . Energy in n ( t ) Find the value of SIRI. Now suppose that y ( t ) is input to an ideal LPF having a cutoff frequency of B € Hz (that is, H LP ( f ) = 1, − B ≤ f ≤ B; H LP ( f ) = 0, otherwise). Define the signal ­to ­interference ratio at the LPF output to be Energy in part of LPF output due to x ( t ) € € SIR o = . Energy in part of LPF output due to n ( t ) € Find SIRO as a function of the LPF cutoff frequency B . € Problems from Textbook € ...
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