% state in the cell. These are the updated values for % rout - a 7x1 array of returned values for the registers % the previous values of the state variables. % rin - a 7x1 array for the register values which are % ak - 1x3 array of denominator filter coefficients % bk - 1x3 array of numerator filter coefficients % rk - input to the cell (passed through from previous % pipeline the filter using these computational cells. % realization of a second order section for an % implementation of the transpose direct form % This function simulates a computational cell for the This operation would be done on each computational cycle.įunction = iir1cell(rk, bk, ak, rin) The Matlab function iir1cell below can be used to use a single sample as the input and update each of the state variables and the output. The preceding functions can be very useful in allowing the user to create matrices with complicated structures, without detailed programming. This type of matrix can be generated using the Matlab function blkdiag. ConsiderĪ more complicated form of diagonal matrix is the block diagonal matrix. There is a second used of the function diag which is to obtain the elements on the leading diagonal of a given matrix. The Matlab function diag allows us to generate a diagonal matrix from a specified vector of diagonal elements. Replicates C as a block to give a matrix with twice as many rows and three times as many columns. For example, assuming the matrix C is defined in the preceding statement, then The Matlab function repmat replicates a given matrix a required number of times. These two statements generate a new matrix D the size of which is double the row and column size of the original C thus More complicated matrices can be generated by combining other matrices. Again, generating these values by any other means would require some thought! The user of logspace should be warned that if the second parameter is pi the values run to π, not 10 π. Note that the values produced are between 10 1 and 10 2, not 1 and 2. If we require logarithmic spacing then we can use Generating this sequence of values by other means would be more difficult. This is simple and could just as well have been created by w = -2:1:2 or even w = -2:2. However, in this function the user defines the beginning and end values of the vector and the number of elements in the vector. The Matlab function linspace also generates a vector. Z = sets z to a vector having the elements Y = -2.2:2 sets y to a vector having elements − 2, − 1.8, − 1.6. X = -8:1:8 (or x = -8:8) sets x to a vector having elements − 8, − 7. Here we confine ourselves to some relatively simple examples thus: George Lindfield, John Penny, in Numerical Methods (Fourth Edition), 2019 1.6 Generating Matrices and Vectors With Specified Element Values
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