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Aim

To perform the Auto Correlation of a given discrete sequence in TMS320C6745 KIT


Requirements


 
Theory

Auto correlation is the cross correlation of a signal with itself. Informally, it is the similarity between observations as a function of the time separation between them. It is a mathematical tool for finding repeating patterns, such as the presence of a periodic signal which has been buried under noise, or identifying the missing fundamental frequency in a signal implied by its harmonic frequencies. It is often used in signal processing for analyzing functions or series of values, such as time domain signals.


In an autocorrelation, which is the cross-correlation of a signal with itself, there will always be a peak at a lag of zero unless the signal is a trivial zero signal.


Given a signal f (t) , the continuous autocorrelation R ff (T) is most often defined as the continuous cross-correlation integral of with itself, at lag .




auto-correlation-formula


where f represents the complex conjugate and represents convolution. For a real function,  f =f .


Procedure

1. Open Code Composer Studio v4 .


2. In WorkSpace Launcher.


  • BROWSE → Select the project location and make one new folder, MAKE NEW FOLDER → Type the Workspace name, OK → OK.

3. FILE ⇒ NEW ⇒ CCS PROJECT


  • Project name: Type your project name.
  • Tick use default location. → NEXT
  • Project type C6000.
  • Tick Debug And Release. → NEXT → NEXT.
  • Output type: Executable.
  • Device Variant : generic - TMS320C6745.
  • Device Endianness : little
  • Code Generation Tools: TI v6.1.12.
  • Run time support library: automatic.
  • Target content: none. →FINISH

4.FILE ⇒ NEW ⇒ SOURCE FILE

  • Source file: Type your projectname.c( .c extension is must ).
  • Type the program.
  • FILE → SAVE.

5. Paste the following board library files in workspace location.


  • Common folder (contains header files)
  • Gel folder (contains gel file)
  • Library folder(contains library files)

6. Paste the Linker file in the project location.(linker file is available in cd)


Note: Those folders and linker file are availble at cd.


7. PROJECT ⇒ PROPERTIES ⇒ C/C++ BUILD → BASIC OPTION


  • Target processor version(--silicon version, -mv)    :   6400+ OK.
  • IN C/C++ BUILD, INCLUDE OPTIONS (Add dir to #include search path(--include_path,-I)) select this add icon add-icon and add the following three path by indivdually
       -  "${Diag}../../common/header"
       -  "${XDAIS_CG_ROOT}/packages/ti/xdais"
       -  "${C6000_CSL_CG_ROOT}/include"

8. FILE ⇒ NEW ⇒ TARGET CONFIGURATION FILE


  • file name: projectname. ccxml (.ccxml extension is must)
  • Connection: Texas Instrument XDS100 v1 USB Emulator.
  • Device:TMS320C6745. (Tick the TMS320C6745)→ SAVE → TARTGET CONFIGURATION → C674X_0 → BROWSE, browse the workspace location, open the gel folder and select the GEL file. → OPEN → SAVE.

9. In C/C++ Project window, Right click the project ⇒ REBUILD PROJECT.


10. Connections


  • Connect the usb cable, PC to TMS320C6745 KIT.
  • Connect the 5v adapter.
  • Power on the kit.

11. TARGET ⇒ DEBUG ACTIVE PROJECT.


12. VIEW ⇒ MEMORY


13. In right side, memory window will open. Type the adrress and give the input at particular location.


Give the input as follow:


X(n)


0xC0001000 – 00000001


0xC0001004 – 00000002


0xC0001008 – 00000003


0xC000100C – 00000004


14. TARGET ⇒ RUN.


15. TARGET ⇒ HALT.


See the Output at Particular location:


Example :


0xC0001050 – 00000004


0xC0001054 – 00000012


0xC0001058 – 00000020


0xC000105C – 00000030


0xC0001060 – 00000020


0xC0001064 – 00000012


0xC0001068 - 00000004


Program

 

#define xn 4

#define hn 4

 

void main()

{

        int *xval,*outval,j;

        int n,k,i,t[100]={0};

 

        xval = (int *)0xc0001000;  /* input  */

        outval = (int *)0xc0001050; /* output */

 

        for(i=0;i<(xn+hn-1);i++)

        {

                outval[i] = 0;

                t[i]=0;

                xval[xn+i]=0;

        }

       

        for(i=0,j=(hn-1);i<(hn);i++,j--)

                t[i] = xval[j];

 

        for(n=0;n<(xn+hn-1);n++)

        {

                for(k=0;k<=n;k++)

                        outval[n] = (outval[n])+((xval[k])*(t[n-k]));

        }

        while(1);

       

}

 


Result

Thus, the Auto Correlation of a given discrete sequence has performed and the result is stored at memory location(0xC0001050).