how I can represent it in MATLAB
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y[k, l] = ∑ki=-kv to kv∑l=0 to li = b[ki , li ] h[ki , li ] x[[k − ki ]N , [l − li ]M] =
h[k, l] ∗ x[k, l] (2D Circular Convolution)
h[ki , li ]= e−j2π ki/ NT *li/ MΔf . and [·]N , [·]M denote modulo N and M operations, respectively. We have the total number of paths: ∑ki kv=−kν to kv ∑ li =0 to li b[ki , li ] = P. Each path circularly shifts the transmitted symbols by the delay and Doppler taps
for k=0 to 32 , l=0 to 32 , ki =5 li =10
, b[ki , li ] ∈ {0, 1} is the path indicator, i.e., b[ki , li ] = 1 indicates that there is a path with Doppler tap ki and delay tap l i with corresponding path magnitude hˆ[ki , li ], otherwise, there is no such path, i.e., b[ki , li ] = 0 and hˆ[ki , li ] = 0
how can I represent y[k,l] in MATLAB
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Image Analyst
2023 年 12 月 5 日
See if the attached manual convolution helps you at all. Adapt as needed.
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