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Unformatted text preview: EE 505 B Fall 2011 Midterm Exam Nota bene : For full credit you must show all of the steps or reasoning that you used to get the answer. 1. [ 23 points ] (a) [ 3 points ] If one appends a column vector ~ b to a matrix A, then the column space of the matrix gets larger unless . (b) [ 20 points ] A speech transmission system called Skipe is based on the follow- ing model for speech activity. A packet of data either contains speech (system state s 1 ) or silence (system state s 2 ). If a packet n contains speech, then the probability that packet n + 1 contains speech is 0.8, and silence is 0.2. Alter- natively, if a packet contains silence, then the probability that packet n + 1 contains silence is 0.9, and speech is 0.1. This process can be represented by a matrix A = 0.8 0.1 0.2 0.9 , where the probability of the system transitioning from state s j to state s i , given that it is in state s j , is the element a ij in the matrix ( i is the row number and j is the column number). For example, the probability that the system willis the column number)....
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- Spring '12
- Probability, LTI system theory