hwk1 - (b) the signal in igure E43 as a sum of shifted...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MAE 143 A: Signals and Systems. Homework #1. Assigned Jan 6. Due Jan 13 1. Sketch the following continuous-time signals. You should draw by hand (do not use MATLAB or a calculator) after reasoning how the signals look like. (a) g ( t ) = u ( t + 1) - 2 u ( t - 1) + u ( t - 3), where u ( t ) is the unit step function. (b) g ( t ) = ( t + 1) u ( t - 1) - tu ( t ) - u ( t - 2), where u ( t ) is the unit step function. (c) g ( t ) = 3 δ (3 t ) + 6 δ (4( t - 2)) 2. Given the graphical deFnition of a function in Fgure E.45 (a) (see the book, Chapter 2), graph the transformations: (a) g (2 t + 1) (b) - 3 g ( - t ) 3. Describe the following signals in the Book, Chapter 2 (section on exercises): (a) the signal in ±igure E42 as a ramp function minus a summation of step functions
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (b) the signal in igure E43 as a sum of shifted semicircles. 4. or each of the following functions, decide whether it is periodic and, if it is, Fnd the fundamental period. (a) g ( t ) = 14 + 40 cos(60 t ) (b) g ( t ) = 28 sin(400 t ) + 12 cos(500 t ) (c) g ( t ) = sin(3 t ) + cos(5 t-3 4 ) 5. Compute: (a) the energy of the signal x ( t ) = 2rect( t ) + 1 2 rect( t-1 2 ) (b) the average signal power of the signal x ( t ) = 3 cos(2 t + 30) (c) the energy of the signal x ( t ) = e (-1-j 8 ) t u ( t ), where u ( t ) is the unit step function. 1...
View Full Document

This note was uploaded on 01/15/2012 for the course MAE 143A taught by Professor Miroslavkrstic during the Summer '08 term at UCSD.

Ask a homework question - tutors are online