Compare the fixed-point lookup table result to the square root calculated using sqrt and double precision.ī = 8 % Number of bits in a byte % sqrt_table = sqrt((2^(B-2):2^(B))/2^(B-1)) Use fi_sqrtlookup_8_bit_byte() to compute the fixed-point square root using a lookup table. The function fi_sqrtlookup_8_bit_byte(), defined at the end of this example, implements this algorithm. It is interpreted as a fraction by using function reinterpretcast().įinally, compute the output using the lookup table and linear interpolation: The remainder, r, is created by extracting the lower w - B bits of x, where w denotes the wordlength of x. Use the remainder, r = x - x_B, interpreted as a fraction, to linearly interpolate between SQRTLUT(i) and the next value in the table SQRTLUT(i+1). Generate a lookup table, SQRTLUT, such that the integer i = x_B- 2^(B-2) + 1 is used as an index to SQRTLUT so that sqrt(x_B) can be evaluated by looking up the index sqrt(x_B) = SQRTLUT(i). Use the function fi_normalize_unsigned_8_bit_byte(), described in the example Normalize Data for Lookup Tables, to normalize the input u > 0 such that u = x*2^n, 0.5 <= x < 2, and n is even.Įxtract the upper B bits of x. In this article, we also saw some examples related to root locus with Matlab codes.Declare the number of bits in a byte, B, as a constant.
And how we use a root locus in Matlab, what exactly syntax is used to create a root locus. Here we discuss the basic concepts of root locus. 2 and negative infinity Recommended Articles The poles are shown by ‘×’, and the zeros are shown by ‘o’ on a root locus. In this example, we have five poles and two zeros. Then we use a rlocus function in brackets we assign the variable which is use to generate a transfer function. The comma separates these two square brackets. In tf function, we assign the coefficients of the above transfer function in tf function, we take two square brackets, in first square brackets, we write the coefficients of numerator for the above transfer function (order s^4, s^3, ……, s, constant) and in second square brackets, we write coefficients of the denominator for above transfer function (order s^4, s^3……, s, constant). We create the above transfer function on Matlab by using the tf inbuilt function. In this example, we can take the above transfer function for a root locus. Let us see one more example related to root locus Matlab, Root locus exists on the real axis between:
For locating poles, the ‘×’ sign is used, and for zeros, the ‘o’ sign is used on a root locus. Then using two variables of transfer function ‘num1’ and ‘den1’, we can display the transfer function and stored it in variable ‘TF1’.Then use the ‘rlocus’ function in brackets the variable which is assigned for transfer function ‘TF1’.Īs shown in the resultant rot locus, it can show poles and zeros. The tf function generates a transfer function for given coefficients of ‘num1’ and ‘den1’ variables on Matlab. The variable ‘num1’ contains the coefficients of the numerator of the transfer function, and variable ‘den1’ stores the coefficients of the denominator of the transfer function. In this example, we take one transfer function for that we create two variables, ‘num1’ and ‘den1’, respectively.
Here are the following examples mention below Example 1 Then use rlocus function in brackets the variable which is assigned for the transfer function. In the tf function, we take two square brackets in the first square brackets, we write the coefficients of the numerator (order s^4, s^3……, s, constant), and in second square brackets, we write coefficients of the denominator (order s^4, s^3……, s, constant).
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