EE4253 Digital Communications Department of Electrical and Computer Engineering - University of New Brunswick, Fredericton, NB, Canada

This page summarizes some MATLAB operations that may be useful for digital communications.

Functions specific to the Communications Toolbox are shown highlighted as (CT).

For help on any MATLAB command, type > help command

1. length : returns the number of elements in a row vector
   length( [ 1 0 1 1 0 0 1 ] ) ⇒ ans = 7

2. sum : returns the sum of all elements in an array
   sum( [ 1 0 1 1 0 0 1 ] ) ⇒ ans = 4

3. any : returns 1 if any element is non-zero
   any( [ 0 0 0 0 0 ] ) ⇒ ans = 0

4. isequal : returns 1 if two vectors are identical
   isequal [ 1 0 1 1 ], [ 1 0 1 1 ] ) ⇒ ans = 1

5. fliplr : returns a row vector in reverse order
   fliplr( [ 1 0 1 1 ] ) ⇒ ans = 1 1 0 1

6. zeros : returns an array filled with zeros
   [ 1 , zeros(1,14), 1 ] ⇒ ans = 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1

7. ones : returns an array filled with ones
   [ 0, ones(1,14), 0 ] ⇒ ans = 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0

8. dec2bin : returns a binary string from a decimal number
   dec2bin(29,8) ⇒ ans = 00011101

9. de2bi : returns a binary array from a decimal number (CT)
   de2bi(29,8,'left-msb') ⇒ ans = 0 0 0 1 1 1 0 1

10. bi2de : returns a decimal number from a binary array (CT)
    bi2de( [ 1 1 1 0 1 ] ) ⇒ ans = 29

11. double : returns ASCII codes (decimal) from a character string
    double( 'ABC' ) ⇒ ans = 65 66 67

12. char : returns a character string from ASCII codes (decimal)
    char( [65 66 67] ) ⇒ ans = ABC

13. bitxor : returns the bitwise xor of two values
    bitxor( 5, 3 ) ⇒ ans = 6

14. bitshift : returns a value shifted left by n bits
    bitshift( 17, 1 ) ⇒ ans = 34

1. gf : defines a Galois Field GF(2) (CT)
   a = gf( [ 1 0 1 1 0 1 ] ) ⇒ a = 1 0 1 1 0 1

2. gf : defines a Galois Field GF(2^N) with the default primitive polynomial` (CT)
   a = gf( [ 1 0 1 1 0 1 ], 3 ) ⇒ a = 1 0 1 1 0 1

3. .x : returns Galois Field elements as integers (CT)
   b = a.x ⇒ b = 1 0 1 1 0 1

4. primpoly(N,'all') : returns all primitive polynomials of order N (CT)
   primpoly(4,'all') ⇒ ans = 19 25

5. primpoly(N) : returns the default primitive polynomials of order N (CT)
   primpoly(4) ⇒ ans = 19

1. hammgen(N) : returns the check (and generating) matrix for a default primitive polynomials of order N (CT)
   [H,G] = primpoly(3) ⇒ ans = the corresponding 3 x 7 check matrix and 4 x 7 generating matrix.

2. hammgen(N,pol) : returns the check (and generating) matrix for a supplied primitive polynomial of order N (CT)
   primpoly(3,[1 1 0 1]) ⇒ ans = the corresponding 3 x 7 check matrix

3. gen2par(G) : returns the check matrix for a supplied generator matrix (and vice versa) (CT)
   gen2par(G) ⇒ ans = the corresponding check matrix H for the generator matrix G

Mon May 20 01:50:03 ADT 2013 Last Updated: 23 APR 2013	Richard Tervo [ tervo@unb.ca ]	Back to the course homepage...