ass1 - Carleton University SYSC 5504 Department of Systems...

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: Carleton University SYSC 5504 Department of Systems and Computer Engineering ELG 6154 Principles of Digital Communications Fall 2009/10 Assignment #1 Due on Wednesday, October 14, 2007 1. Sketch the spectrum x ( f ) = T sin( [ f f c ] T ) [ f f c ] T 2 with f c = 1 GHz and T = 10- 7 seconds, then find the (a) null-to-null bandwidth, (b) the 3 dB bandwidth, and (c) the 99% power bandwidth (use numerical integration). 2. Suppose x ( t ) is a zero-mean stationary Gaussian random process with power spectral density x ( f ) is the input to a linear filter whose impulse response show below. A sample, Y , is taken of the output of the filter at time T .- 6 ? h ( t ) t 1 T T (a) Calculate the mean and variance of Y in terms of x ( f ) and T . (b) Upper bound the variance under the condition x ( f ) S for all f . 3. For the data signals s ( t ), s 1 ( t ), s 2 ( t ), and s 3 ( t ) shown below: (a) Find a set of orthonormal basis signals, and express the data signals as linear combinations of the basis signals.(a) Find a set of orthonormal basis signals, and express the data signals as linear combinations of the basis signals....
View Full Document

Page1 / 2

ass1 - Carleton University SYSC 5504 Department of Systems...

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