hw3 - Boston University Department of Electrical and...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Boston University Department of Electrical and Computer Engineering ENG EC515 Digital Communication ( Fall 2009 ) Problem set 3 Assigned: Mon 5 Oct Due: Mon 12 Oct Suggested reading: Class-notes, handouts, and Ch. 4 textbook O ffi ce hours: M, W 4:005:30pm PHO438 Problem 3.1 (Optimum receiver) A communication system is used to transmit one of two equally likely messages, M M = { 1 , 2 } . The channel output is a voltage (a continuous random variable), Y R , whose conditional density function is given by: p Y | M ( y | 1) = y y 1 2- y 1 y 2 otherwise p Y | M ( y | 2) = ( . 25- 1 y 3 otherwise (a) Determine b m opt ( y ) the optimum (minimum probability of error) receiver decision rule. (b) Compute P e the resulting probability of error. Problem 3.2 ( Value of noisy look at noise) A communication system is used to transmit one of two equally likely messages, M M = { 1 , 2 } . The channel inputs are voltage levels (real numbers). The channel encoder uses a real channel codebook con-channel inputs are voltage levels (real numbers)....
View Full Document

Page1 / 2

hw3 - Boston University Department of Electrical and...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online