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matlabcell-array

Matlab: How to matrix calculation with cell matrix?

I need to calculation R*S*R'. R is an ordinary matrix. But S is composed of values. The element of S is the value of F(w), and is calculated by 

[PressureSpecAuto,F] = periodogram(....);
S{i,j} = PressureSpecAuto;

which means each element is a set of data.

The problem is that, Matlab cannot multiply cell matrix with matrix, then How can I solve this problem?

Notice: The element of S should not be treated as an vector. It's just the value set of function F(w).

UPDATE1:

enter image description here

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Element in S(the value set of a function)

enter image description here

Essentially, element in S is a function's value, e.g. f(x). When multiplying, it is still R(1,:)*S(:,1). That is, R(1,1) * S(1,1) + R(1,2) * S(2,1) ...

UPDATE2:

R:
1   0   0   0   0   0
0   0   0   0   0   0
1   0   0   0   0   0
0   0   0   0   0   0
1   0   0   0   0   0
0   0   0   0   0   0
1   0   0   0   0   0
0   0   0   0   0   0
0   1   0   0   0   0
0   0   0   0   0   0
0   1   0   0   0   0
0   0   0   0   0   0
0   1   0   0   0   0
0   0   0   0   0   0
0   1   0   0   0   0
0   0   0   0   0   0
0   0   0   0   0   0
0   0   0   1   0   0
0   0   0   0   0   0
0   0   1   0   0   0
0   0   0   0   0   0
0   0   0   1   0   0
0   0   0   0   0   0
0   0   0   0   1   0
0   0   0   0   0   0
0   0   0   0   0   1

Element in S( e.g. S(1,1) ): 

2.11586339015690e-23
6548.06822760155
10933.4416318101
67974.4878764171
1640.90694018577
22254.1105594943
54583.8668300499
25426.8190829386
4646.70203854458
19224.2485418923
17292.0278726986
928.765041030392
14728.5614115324
113385.034815149
30274.0332077125
22697.8886043178
61916.4030808219
38648.2740539840
127.547928632502
24452.0499691112
12311.1687443994
6627.23433956309
11264.7956369618
7232.97125504007
4120.08127891675
1546.69594235781
22795.2322822644
627.572461904325
9237.43533412019
3433.67898348596
Solution

  • Could you use a loop? Maybe this would work then...

    Just use a loop and loop through the indices of S to extract each matrix. Then do the multiplication.

    In essence:

    for n=1:numel(S) 
    R*S{n}*R' 
end

    or using cellfun where @(x) is an anonymous function.

    cellfun(@(x) R*x*R', S, 'UniformOutput',false)