bim251h1

# bim251h1 - = BIM 251 Medical Image Analysis Homework#1 Due...

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===================================================================== BIM 251 Medical Image Analysis Winter 2009 ===================================================================== Homework #1 Due January 14 1. There is a periodic random process 0 () c o s ) ( fx x ω θ = + , where is a uniform random variable (rv) over the interval [0,2 ) π and 0 is a constant. a) Find the expectation {() } Efx . b) Find the autocorrelation function 12 ) (, Rx x . c) Is f(x) wide-sense stationary (WSS)? 2. Consider the random process 0 () c o s ( ) gx x A + = , where A is a real rv with a Rayleigh pdf, 2 pr( ) exp( / 2), 0 AA A A =− , is a uniform rv over the interval [0,2 ) and 0 is a constant. A and θ are independent. This is a mathematical model of ultrasonic and MR echo signals for some realistic situations.
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## This note was uploaded on 10/15/2010 for the course BIM BIM251 taught by Professor Buonocore during the Spring '09 term at UC Davis.

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