Download Digital Signal Processing Using Matlab V.4: A Bookware by Vinay K. Ingle PDF

Download Digital Signal Processing Using Matlab V.4: A Bookware by Vinay K. Ingle PDF

By Vinay K. Ingle

A quantity within the BookWare better half sequence, this publication has been constructed as a complement to conventional middle texts in DSP for teachers and scholars who desire to make MATLAB an indispensable a part of their learn of DSP themes and ideas. The books during this new sequence are designed to advertise studentsU challenge fixing and significant considering abilities by using MATLAB as a TTvirtual laboratory.UT A 3.5UT disk of MATLAB information records is obtainable.

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Additional info for Digital Signal Processing Using Matlab V.4: A Bookware Companion Problems Book

Example text

Function Description isempty Determine if input has any dimension with size zero. isscalar Determine if input is a 1-by-1 matrix. issparse Determine if input is a sparse matrix. isvector Determine if input is a 1-by-n or n-by-1 matrix. 1-25 1 Data Structures Resizing and Reshaping Matrices You can easily enlarge or shrink the size of a matrix, modify its shape, or rotate it about various axes. This section covers • “Expanding the Size of a Matrix” on page 1-26 • “Diminishing the Size of a Matrix” on page 1-30 • “Reshaping a Matrix” on page 1-31 • “Preallocating Memory” on page 1-33 Expanding the Size of a Matrix You can expand the size of any existing matrix as long as doing so does not give the resulting matrix an irregular shape.

For example, shifting a 4-by-7 matrix one place to the left moves the elements in columns 2 through 7 to columns 1 through 6, and moves column 1 to column 7. 1-35 1 Data Structures Create a 5-by-8 matrix named A and shift it to the right along the second (horizontal) dimension by three places. (You would use [0, -3] to shift to the left by three places): A = [1:8; A = 1 11 21 31 41 11:18; 21:28; 31:38; 41:48] 2 12 22 32 42 3 13 23 33 43 4 14 24 34 44 5 15 25 35 45 6 16 26 36 46 7 17 27 37 47 8 18 28 38 48 B = circshift(A, [0, 3]) B = 6 7 8 1 16 17 18 11 26 27 28 21 36 37 38 31 46 47 48 41 2 12 22 32 42 3 13 23 33 43 4 14 24 34 44 5 15 25 35 45 Now take A and shift it along both dimensions: three columns to the right and two rows up: A = [1:8; 11:18; 21:28; 31:38; 41:48]; B = circshift(A, [-2, B = 26 27 28 36 37 38 46 47 48 6 7 8 16 17 18 3]) 21 31 41 1 11 22 32 42 2 12 23 33 43 3 13 24 34 44 4 14 25 35 45 5 15 Since circshift circulates shifted rows and columns around to the other end of a matrix, shifting by the exact size of A returns all rows and columns to their original location: B = circshift(A, size(A)); all(B(:) == A(:)) ans = 1 1-36 % Do all elements of B equal A?

As with all matrices in MATLAB, you must follow the rules concerning compatible dimensions. In the following example, an attempt to add a 1-by-3 matrix to a 0-by-3 empty matrix results in an error: [1 2 3] + ones(0,3) ??? Error using ==> + Matrix dimensions must agree. Using Empty Matrices in Relational Operations You can use empty matrices in relational operations such as “equal to” (==) or “greater than” (>) as long as both operands have the same dimensions, or the nonempty operand is scalar.

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