Recent content by FrogPad

One thought is... For n > m, rank(A) = m. So, AA' = L where L is [n x n]. Now I am assuming that the rank(L) = m, but I do not know how to prove this. Now if we wanted, AA' = I where I is [n x n], and rank(I) = n. Lets try, AA' = I -> rank(AA') = rank(I) -> rank(L) = rank(I) ->...

Homework Statement Consider an n x m matrix A with n >= m. If all columns of A are orthonormal, then A'A = I. What can you say about AA'? Where A'A = transpose(A)*A and AA' = A*transpose(A) Homework Equations The Attempt at a Solution For the case that n = m: A is square...

yeah no prob. You *can* have multiple outputs from a function. However, if you look at the comments for interp1 it only shows one output. Contrast this to "help meshgrid" which has multiple outputs. As an example, you can call the meshgridfunction like: [X,Y] = meshgrid(x,y) and it will...

You get multiple outputs in a single vector, not [out0, out1, ...] = interp1(...) Running the code: v=[1;2;3;4;5;6]; P=[2494 4157;1247 2078;831 1386;623 1039;499 831;416 693]; Q = interp1(v,P,5.2,'linear') returns: >> Q Q = 482.4000 803.4000 When you are running: >>...

you have a temporal signal y defined by: f0 = 1.5 y(t) = 2*sin(2*pi*f0*t) where f0 is the fundamental frequency in Hz. That is, the sin wave oscillates at f0 cycles per second. You are told to sample at Fs = 8 (Hz) for 1 (s). Notice that Fs > 2*f0 so you *are* satisfying Nyquist. As you...

I am about to start a graduate program in signal processing. A lot of the literature that I've been recently browsing, uses the concept of operators on functions - such as a differential, or Fourier transform operator. I really like this "framework" (for lack of understanding) but have never...

lol, yeah. You could probably write a wrapper around the save function, to do what you want. function tSave(V) vt = V'; save([num2str(V) '.txt'], 'vt', '-ascii'); end then just call this little function instead

As far as I know, the MATLAB function SAVE expects the following arguments: save(<string (filename)>, <string (variable name 1)>, ... <string (variable name N)>, <string (options)>) You are not passing the function actual variables, just the names. That's why you can't pass r1', because...

If I have a vector of data that is equally spaced in time. What is the best numerical method for integrating this data?

Delta functions for sampling make the math look nice -- easier to look at, easier to remember. When you sample in real life, you model the hardware that performs the sampling with (at least) a rectangle function. Check out <http://en.wikipedia.org/wiki/Sampling_(signal_processing)>, in...

If anyone is interested, this question is answered in the following paper: http://classes.engr.oregonstate.edu/eecs/winter2009/ece464/AnalyticSignal_Sept1999_SPTrans.pdf

Taking a Fourier-transform of a real signal, gives me a spectrum that has symmetry. If I take the FFT of a real signal, then throw away half of the spectrum, and then do an inverse transform I get a complex-signal. I go from r(t) to rc(t) where rc(t) is a complex-signal. Now this...

From, http://en.wikipedia.org/wiki/Geodetic_system The transformation matrix from ENU-coordinates to ECEF is: Figure 1 - Transformation Matrix Working with this, I have found that when (x,y,z) and (Xr, Yr, Zr) represent positions vectors, the transformation works fine. However...

If I have a velocity vector V in some coordinate system. Is there anything special that needs to be done to convert V -> V' ? Basically, I have a matrix (N x 3) in north-east-down coordinates. I am trying to convert (a row at a time_ to another matrix (N x 3) to earth-centered-earth-fixed...

Hi all, Would someone please re-enlighten me. Say I have a vector in spherical coordinates: \vec r_1 = \phi \hat{\phi} + \theta \hat{\theta} + R \hat{R} Where r, \theta, R are scalars and the corresponding hat notation is the unit vectors. Say, I form a new vector r_2 in...