Deconvolution Analysis

Deconvolution (also called Transposed Convolution) could be considered as inversed operation for Convolution. However, if we use direct transposed operation to understand devonvolution, it will be very difficult for computation.
In this passage, I'll leverage Toeplitz matrix to describe Convolution first, then Deconvolution could be described in a similar way, aslo refer to Stackoverflow's question: how to convert convolution as matrix multiplication.