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# How to generate HDL code for 2-D matrices

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Shravankumar P on 28 Jun 2014
Edited: Shravankumar P on 1 Jul 2014
I am working on HDL code gen project. I've designed an FFT algorithm , and trying to generate HDL code for that. But the algorithm consisting of matrix of inputs , twiddle factors and their multiplications which are of two dimensional matrices. HDL coder is unable to generate code for 2-D matrices.
What do I need to do to generate HDL code for my Algorithm.
Example: Use Cooley-Tukey Divide and Conquer Technique of FFT Computation.
R1(16,4) = x(16,4) * w4(4,4);
R2(16,4) = w16(4,4) .* R1(16,4);
Y(16,4) = R2(16,4) * w(4,4) ;
x= input; Y=output;w4w16,w4 are twiddle factors.
##### 3 CommentsShowHide 2 older comments
Shravankumar P on 1 Jul 2014
The Computaion of Matrices as follows :
R1(16,4)= x(16,4) * w4(4,4);
R2(16,4)= w16(4,4) .* R1(16,4);
Y(16,4) = R2(16,4) * w(4,4) ;
Dimensions of the matrices indicated in the Brackets (m,n)
My Reference is the Book:
Digital Signal Processing, 4/E John G. Proakis, Northeastern University Dimitris K Manolakis, Massachusetts Institute of Technology, Lincoln Laboratory
Chapters:
7 The Discrete Fourier Transform: Its Properties And Applications
8 Efficient Computaiton Of The Dft: Fast Fourier Transform Algorithms

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### Accepted Answer

Tim McBrayer on 30 Jun 2014
You are correct that HDL Coder does not support matrix multiplication directly. You can always decompose the matrix multiplication to the scalar operations that it is comprised of, though.
The FFT is a commonly used algorithm within HDL Coder. Many of the shipping examples in the product documentation involve FFTs. It sounds like perhaps this is an academic project, and that you cannot simply use the shipping examples. Perhaps, however, you can gain some insight on how to perform the math that you need to from the examples provided.
FFT Using Simulink Blocks:
web(fullfile(docroot, 'hdlcoder/examples/fft-using-simulink-blocks.html'))
Using the Minimum Resource HDL FFT:
web(fullfile(docroot, 'hdlcoder/examples/using-the-minimum-resource-hdl-fft.html'))
OFDM Receiver with 512-Point Serial FFT
web(fullfile(docroot, 'hdlcoder/examples/ofdm-receiver-with-512-point-serial-fft.html'))
OFDM Receiver with 512-Point Streaming I/O FFT
web(fullfile(docroot, 'hdlcoder/examples/ofdm-receiver-with-512-point-streaming-i-o-fft.html'))
##### 1 CommentShowHide None
Shravankumar P on 1 Jul 2014
Thank you very much sir, you got my question. thanks again.

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### More Answers (1)

the cyclist on 28 Jun 2014
Is this what you mean?
Bvec = 1:9;
B = reshape(3,3);
A = B';
C = A*B;
If not, then my suggestion is the same as Azzi's. A simple example or two of the input/output you expect would be very helpful.
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Shravankumar P on 30 Jun 2014
Sir, I've updated my question ,check it again. thank you

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