2 Questions (IDE and LScorrelation)
Dear Jan,
I have two separate questions.
1. Can I know what IDE you were using when develop the IMTAphy? I'd like to trace the procedure of the codes, but don't know what IDE I should use.
2. About correlation of Large Scale Parameters, in particular, auto-correlation.
In chapter 13 of the book "LTE-Advanced and Next...", page.362, you mentioned that you use FIR filter g(d) = exp(-d/d_corr)
In Matlab implementation of WINNERII, they further normalize the impulse response so that \sum h[n] = 1
(I couldn't find the location of LS parameter correlation in your code, did you also do this normalization?)
However,
Neither exp(-d/d_corr) nor the normalization one appears correct to me.
As I understood, put a random sequence into a LTI system with impulse response h[n], the auto correlation would become
(Let X be input, Y be output)
R_Y [n] = R_X[n] (*) h[n] * h[-n]
where X is the input. (R_X[n] = delta[n] in this case)
Hence the generated auto correlation
1) normalized h
h = [0.7135 0.2044 0.0586 0.0168 0.0048 0.0014 0.0004 0.0001]
R_Y = [0.5547 0.1589 0.0455 0.0130 0.0037 0.0011 0.0003 0.0001]
where R_Y[0] = 0.5547
2) Original h
h = [1.0000 0.2865 0.0821 0.0235 0.0067 0.0019 0.0006 0.0002]
R_Y = [1.0894 0.3121 0.0894 0.0256 0.0073 0.0021 0.0006 0.0002]
where R_Y[0] =1.0894
In both case, the R_Y would't be the desired one
(We actually want R_Y = [1.0000 0.2865 0.0821 0.0235 0.0067 0.0019 0.0006 0.0002])
Even the variance (R_Y[0]) would be altered
Furthermore, even if we can generate correct x-dim correlation and y-dim correlation by separate filtering along each dimension, there is no guarantee that such separate filtering would generate correct correlation in the whole 2D map. For instance, position (0,0) (0,1) is guaranteed by y-dim filtering and (0,0) (1,0) is also guaranteed by x-dim filtering, but then, there is no guarantee for the pair (0,1) (1,0)
Therefore, I am confused by this strange method of generating auto correlation.
Did I misunderstand anything?
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