DOC PREVIEW
SJSU EE 112 - Signals Operations

This preview shows page 1-2-3-4 out of 12 pages.

Save
View full document
View full document
Premium Document
Do you want full access? Go Premium and unlock all 12 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 12 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 12 pages.
Access to all documents
Download any document
Ad free experience
View full document
Premium Document
Do you want full access? Go Premium and unlock all 12 pages.
Access to all documents
Download any document
Ad free experience
Premium Document
Do you want full access? Go Premium and unlock all 12 pages.
Access to all documents
Download any document
Ad free experience

Unformatted text preview:

Signals and Systems Signals operationsLecture 3Khosrow GhadiriElectrical Engineering DepartmentElectrical Engineering DepartmentSan Jose State UniversitySignals operationsFor any signal when the argument is changed to for any real ftat bFor any signal when the argument is changed to for any real positive number a and b.Where the signal is contracted by and shifted to the left by fbfat b fata at bftbaaWhere the signal is contracted by and shifted to the left by units with sign and shifted to the right by with sign. AndWhere the signal is reflected and contracted by and shifted to bfatb fata  ftbabaftaaWhere the signal is reflected and contracted by and shifted to the left by units with sign and shifted to the right by units with sign. The important signal operation are: Shiftingftaba baShifting Reflecting Time-scaling ©Khosrow Ghadiri Signal and System 2A signalFor the function shown in the figure below find analytic expressions ftFor the function shown in the figure below, find analytic expressions for and plot the following function versus time:0tftft121t 10.5 0 21100Otherwisettyt f t t ©Khosrow Ghadiri Signal and System 3ContractionFor the function shown in the figure below find analytic ftFor the function shown in the figure below, find analytic expressions for and plot versus time: The time-scaling operation. Using the fundamental definition of a function2ft1 0.5 2 0 2 2ttftis contracted by a factor of 2  21 1200Otherwiseyt f t t ftis contracted by a factor of 2.12ftft101tt1t  10121 0.500Otherwisettyt f t t  ©Khosrow Ghadiri Signal and System 410.5Expansion For the function shown in the figure below, find analytic 1ftg,yexpressions for and plot the following function versus time:13ftf11,0 66tt111 0.5 0 233tt611, 3 030, otherwiseft t11110330Otherwiseft t widened or expanded by a factor of 3.ftft1 ©Khosrow Ghadiri Signal and System 523t64ShiftingFor the function shown in the figure below find analytic ftFor the function shown in the figure below, find analytic expressions for and plot the following function versus time: The shifting operation. Using the fundamental definition of a function, we obtain:3ftft10.5 3 0 3 231 1 300Otherwisettft t  2.5 0.5 3 531 2 30Otherwisettft t 0Otherwiseft15t ©Khosrow Ghadiri Signal and System 652t3shiftingFor the function shown in the figure below find analytic ftFor the function shown in the figure below, find analytic expressions for and plot the following function versus time:4ftft10.5 4 241 5 4ttft t 10.5 4 0 4 21140ttft t   shifted 4 units to the left.ft41 5 40otherwiseft t 11400Otherwiseft tft12t4 ©Khosrow Ghadiri Signal and System 725t4ReflectionFor the function shown in the figure below find analytic ftFor the function shown in the figure below, find analytic expressions for and plot the following function versus time: The Reflecting Operation. Using the fundamental definition of a function, we obtain:ftft10.5 2 01010otherwisettftt10.5 0 21100otherwisettft t   is reflected about the vertical axis.ftft1t ©Khosrow Ghadiri Signal and System 811t2Reflection and expansionFor the function f(t) shown in the figure below find analytic expressions For the function f(t) shown in the figure below, find analytic expressions for and plot the following function versus time:12ft1110.5 0 222tt 10.25 4 01tt11110220Otherwiseft t 110220Otherwiseft t Reflected and then widened by 2 units or vice versa.ftft1t ©Khosrow Ghadiri Signal and System 911t2342Reflection and shiftFor the function shown in the figure below find analytic expressions ftFor the function shown in the figure below, find analytic expressions for and plot the following function versus time:3ft10.53 0 3 231 130ttft t ft0.5 0.5 1 331 34ttft t is reflected and then shifted by 3 units to the right.31 1300otherwiseft t3ftft31 340 otherwiseft t13ft12t34 ©Khosrow Ghadiri Signal and System 101234Contraction and shiftingFor the function shown in the figure below find analytic expressions ftFor the function shown in the figure below, find analytic expressions for and plot the following function versus time:23ft111.52 3 25 15 25tfftWherecontracted by a factor of 2 and then shifted 1.5 units to the 23 2.51.52.50, otherwisefttt  ftWherecontracted by a factor of 2 and then shifted 1.5 units to the right. 23ftft1151t25 ©Khosrow Ghadiri Signal and System 111.512.5Reflection, contraction and shiftingFor the function f(t) shown in the figure below find analytic expressions For the function f(t) shown in the figure below, find analytic expressions for and plot the following function


View Full Document

SJSU EE 112 - Signals Operations

Download Signals Operations
Our administrator received your request to download this document. We will send you the file to your email shortly.
Loading Unlocking...
Login

Join to view Signals Operations and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Signals Operations 2 2 and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?