The model in equation (1) is ‘linear’ if the functions f and h are linear functions, that is, matrix operations of the form f(x) = Ax and h(x) = Cx where Am×m and Cn×m are constant (or even time-varying, but state-independent) matrices. Throughout the field of ...
However, for the block-wise equalization to be accurate, the channel needs to be approximately constant over a time span corresponding to the size of the processing block. This constraint provides an upper limit on the block size-N that depends on the rate of the channel variations. Note ...
From this expression for ϕ it is straightforward to obtain the density of heat flow q (constant within the element) and the amount of heat flowing across each side of the triangle as linear functions of the nodal temperatures ϕ1, ϕ2, ϕ3. In preparation for the next part of ...
Linear Search is anin-place algorithm, meaning it doesn’t require additional space that grows with the input size. It uses a constant amount of extra space (for variables likeindexanditem), and thus, the space complexity isO(1). In the context ofpractical applications, Linear Search can be...
An Algorithm for Finding Nearest Neighbour in Constant Average Time with a Linear Space Complexity - Micó, Oncina, et al. - 1992 () Citation Context ...f methods using global pivots (objects which all the objects in dataset are referenced to). Usually, the global pivots are used to ...
It can be analyzed that the method above runs in complexity (with the Euler–Mascheroni constant, i.e. ). Let us take a minute to consider the bottleneck of such sieve. While we do need to cross out each composite once, in practice we run the inner loop for a composite multiple times...
1. Introduction to vectors 1.1 Vectors and Linear Combinations The elements of a vector are called “components”. Linear combinations contain vector addition and scalar multiplication. A linear combination of v and w is the sum of cv and dw. ...
The libsais provides simple C99 API to construct suffix array and Burrows-Wheeler transformed string from a given string over constant-size alphabet. The algorithm runs in a linear time using typically only ~16KB of extra memory (with 2n bytes as absolute worst-case; where n is the length of...
[25, 28] including a constant shear. 1.1.3 Gaussian Wave Group, Arbitrary Depth For linear shear S and general depth h, the expressions for \(A_0=\omega '(k_0)\) and \(B_0=\omega ''(k_0)\) which may be inserted into (56) are $$\begin{aligned} A_0 =&-\frac{h\sigma...
With the use of integral images, Haar-like features of any size can be computed in constant time (see Section 12). – Location features: The location (x,y) can be used as a feature to exploit the dependency between the pixel [150–154] (see Section 14). Tables 3–7 present an ...