EE263 HOMEWORK SOLUTIONS
Plot c, d, and w, and r. The quantities B, b1 ,. Here, though, we allow the possibility that f is nonlinear which we take to mean, f is not linear. Most of the linear algebra you have seen is unchanged when the scalars, matrices, and vectors are complex, i. Midterm exam Solutions This is a hour take-home exam.
For example, each sensor measurement might include a common offset or bias, as well as a term that grows linearly with time called a drift. We consider two vehicles moving under the influence of applied forces, which can operate in docked mode connected together to move as one unit or in undocked mode, in which they move independently. Your solution to either problem can use any of the concepts and methods we have covered in the class so far: Three very reasonable proposals for robust estimation are described below. The perceived color is a complex function of the three cone responses, i.
Our goal is to develop a model that allows us to predict the next element in the time series, i. Note that the first requirement says that every consistent y does not trip the alarm; the second requirement states that every inconsistent y does trip the alarm.
For i odd, yi depends only on xj for j even. Now you can plot u, y, etc.
Ee263 homework 5 solutions
If you find such a B, you must explain how you found it, and verify say, in matlab that it satisfies the required properties. In fact, there are many right inverses of A, which opens the possibility that we can seek right inverses that in addition have other properties.
In each experiment we measure and note the temperatures at the two critical locations. When the vehicles are undocked, i. You may solutlons the matlab function diag x,k useful.
Most of the linear algebra you have seen is unchanged when the scalars, matrices, and vectors are complex, i. Use the w and v you found to make predictions about whether the documents in the test set are interesting.
In this problem we consider a very simple congestion control protocol. Introduction to applied linear algebra and linear dynamical systems, equations and least-norm solutions of are from the EE homework. Such as array can represent an image, or a sampled description solutjons a function defined on a rectangle.
The plot is probably better viewed on a log-log scale, which can soluutions done using the command loglog instead of the command plot. Comment briefly on the following statement: Boyd ee homework 2 solutions 2. All you have to do is suggest a sensible, simple method that ought to work well when f is not too nonlinear, and the starting guess x 0 is good. Thus, the message is available at the node to be transmitted along any active edge emanating from that node, at any future period.
But whenever there is a nonlinear unbiased estimator, there is also a linear unbiased estimator. It is also possible to store a message at a node during any time period, presumably for transmission during a later period. Express the population dynamics as an autonomous linear system with state x ti.
ee homework 3 solutions
In some cases, however, the measurement error includes some predictable terms. You are given the photodetector direction vectors q1. This is called a binary label. Comment briefly on what you observe.
Be sure to explain how you solve this problem, and to explain the matlab source code that solves it which you must submit. Assignment Solutions Homework 3: You are told k, the number of nonzero entries in x, but not the particular indices of the entries of x that are nonzero.
Note that the first inner product involves complex vectors and the second involves real vectors. It does not mean the population of species 3 is negative in time period 4. Boyd EEa Homework 5 solutions 4. More precisely, let k denote k the iteration number, with a kb kand zi denoting the values of these parameters at iteration k, and A kB k denoting the associated polynomials.
Note that for a real matrix or vector, the Hermitian conjugate is the same as the transpose. Homeworks and Handouts Supplementary Reading.